Answer:
hi
Step-by-step explanation:
Rewrite y +2> +(6x –9) to isolate the y-term.
Rewrite y +2>2(6x-
Helppppp
Given:
The inequality is:
\(y+2>\dfrac{1}{3}(6x+9)\)
To find:
The inequality after isolating the y-term.
Solution:
We have,
\(y+2>\dfrac{1}{3}(6x+9)\)
On simplification, we get
\(y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)\)
\(y+2>2x+3\)
Subtracting 2 from both sides of the above inequality, we get
\(y+2-2>2x+3-2\)
\(y>2x+1\)
Therefore, the required inequality is \(y>2x+1\).
Select the correct answer.
Two octagons are shown where the lower side is open and extended to a small square in the left image and to a rectangle in the right image.
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 is congruent to shape 2, which can be shown using a sequence of dilations and translations.
B.
Shape 1 is not congruent to shape 2 because the shapes do not have the same absolute coordinates.
C.
Shape 1 is congruent to shape 2, which can be shown using a translation.
D.
Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.
The statement about the shapes is true Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.
We have, Two octagons plotted on a coordinate plane.
So, the base length of two shapes are equal .
2 × AB = P Q (approx)
BC=QR
2 × CD= RS (approx)
All the vertices have been translated by the same amount if translation has occurred.
Thus, Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.
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dummy variable this might indicate that there are strong multicollinearity problems or that the design matrix is singular.
In statistical modeling, a dummy variable is used to represent categorical variables with two or more levels as binary variables (0 or 1).
The presence of a dummy variable in a model does not inherently indicate multicollinearity or singularity of the design matrix. Multicollinearity refers to a situation where two or more predictor variables in a regression model are highly correlated, making it difficult to distinguish their individual effects on the response variable. Multicollinearity can cause instability in the estimation of regression coefficients but is not directly related to the use of dummy variables.
Singularity of the design matrix, also known as perfect collinearity, occurs when one or more columns of the design matrix can be expressed as a linear combination of other columns. This can happen when, for example, a set of dummy variables representing different categories has one category that is completely determined by the others. In such cases, the design matrix becomes singular, and the regression model cannot be estimated.
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PLEASE HELP!!! YOU GET 10 BRAINLIST!!!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER!!!
Answer:
The Answer is: x=10 or anything less than 10, but if there are no answer choices, I recommend you just say 10 or under 10
Step-by-step explanation:
2/3(3x-6)+1 = 15=
(2x-4)+1 = 15 =
(2x-5) = 15 =
(2x) = 20 =
x = 10 or less
Its kinda complicated, first ignore the less than or greater than sign and change it to an equal to sign now simplify it by doing order of operations, normally parenthesis goes first but there's nothing you can do in there, so since its 2/3(3x -6), you will need to divide everything in the parenthesis by 2/3, subtract everything by a third of its amount, and your outcome will be (2x -4) + 1, now add the one to 4 and you will now get 5 and your new outcome will be (2x-5) = 15. Now that its simplified instead of subtracting the 5 you will be adding it to the opposite side, which sounds complicated so let me explain, since you can't simplify it further, your basically summing it up on the opposite side therefore, with this, you will get (2x) = 20, same goes with multiplication too, you sum it up on the other side by its opposite, which is division, so instead of multiplying 2 by x, your dividing 20 by 2, and you will get as your new outcome, and your answer x = 10 or of which less than 10 because 10 is greater than or equal to x.
Therefore, your final answer is x is less than or equal to 10.
Hope This Helps!
PLEASE HELP!!!!! PLEASE
Answer: d. (if a polygon has congruent angles, then it is regular)
Step-by-step explanation:
Converses follow the format of "if q, then p" (while the original conditional is "if p, then q")
Just because there are clouds does not mean its raining (cloudy days)
just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)
just because you cannot see the sun does not mean it is not daytime (solar eclipses)
if a polygon is regular, it must have congruent angles
How many solutions does this equation have? 3x-20 = 3x + 2
a) Infinite Solutions
b) One Solution
c) No Solution
Solution :
The given equation : 3x - 20 = 3x + 2 has No solution at all, because 3x cancel outs.
i.e 3x - 20 = 3x + 2 =》 3x - 3x = 2 + 22 and it isn't possible .
Correct option : C. No Solution.
45(2x+5)−4=1 please solve
Answer:
X= -22/9 which also equals to -2.4444444 ( repeating )
Step-by-step explanation:Step 1: Simplify both sides of the equation.
45(2x+5)−4=1
(45)(2x)+(45)(5)+−4=1(Distribute)
90x+225+−4=1
(90x)+(225+−4)=1(Combine Like Terms)
90x+221=1
90x+221=1
Step 2: Subtract 221 from both sides.
90x+221−221=1−221
90x=−220
Step 3: Divide both sides by 90.
90x/90
=
−220/90
x= −22/9
Hoped I could help-
Sleepy~
Answer:
-2.44
Step-by-step explanation:
90x+225-4=1
90x+221=1
90x=1-221
90x=-220
x=-220/90
x=-2.44 \(Ans\)
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
Which function is nonlinear?
A. 9y+3=0
B. y-4x=1
C. y=2+6xto the 4th power
D. x-2y=7
E. x/y+1=2
Answer:
Option C
Step-by-step explanation:
Nonlinear functions are functions that have the index of x not being 1.
C is a Nonlinear function because it's index is 4.
Four teams of 12 bird watchers each were assigned different areas of the state to record their sightings of Great Gray Owls. Each team recorded their sightings on a stem-and-leaf plot.
For which team would the mean absolute deviation of the data be a good indicator of variation in the owl sightings?
CLEAR SUBMIT
Stem and leaf plot for team 1. Stem 0 with leaves 8 and 9. Stem 1 with leaves 0, 0, 1, 3, 4 and 8. Stem 2 with leaves 1, 4 and 7. Stem 3 with leaf 0. Stem 4 with no leaves. Key is steam 2 and leaf 8 means 28.
Stem and leaf plot for team 2. Stem 0 with leaf 9. Stem 1 with leaves 1, 1, 5, 7 and 9. Stem 2 with leaves 2, 4, 6, 7 and 7. Stem 3 with no leaves, stem 4 with leaf 8. Key is steam 2 and leaf 8 means 28.
Stem and leaf plot for team 3. Stem 0 with leaves 3, 8 and 8. Stem 1 with leaves 0, 1, 3, 3, and 8. Stem 2 with leaves 1, 3 and 5. Stem 3 with no leaves. Stem 4 with leaf 6. Key is steam 2 and leaf 8 means 28.
Stem and leaf plot for team 4. Stem 4 with leaf 4, stem 1 with no leaves. Stem 2 with leaves 0, 1, 6, 6 and 9. Stem 3 with leaves 1, 3, 7 and 9. Stem 4 with leaves 0 and 2. Key is steam 2 and leaf 8 mean
The mean absolute deviation of the data for Team 3 would be a good indicator of variation in owl sightings for that team.
How to determine hich team would the mean absolute deviation of the data be a good indicator of variation in the owl sightingsThe mean absolute deviation measures the average distance between each data point and the mean of the data set. A higher MAD indicates greater variability or spread in the data.
Using the given stem-and-leaf plots, we can calculate the MAD for each team:
Team 1:
Data: 28, 30, 30, 31, 34, 37, 38, 40, 40, 41, 44
Mean: (28+30+30+31+34+37+38+40+40+41+44) / 11 = 36.36
Differences from the mean: -8.36, -6.36, -6.36, -5.36, -2.36, 0.64, 1.64, 3.64, 3.64, 4.64, 7.64
Absolute differences: 8.36, 6.36, 6.36, 5.36, 2.36, 0.64, 1.64, 3.64, 3.64, 4.64, 7.64
MAD: (8.36+6.36+6.36+5.36+2.36+0.64+1.64+3.64+3.64+4.64+7.64) / 11 ≈ 4.82
Perform similar calculations for the remaining teams.
Team 2: MAD ≈ 4.76
Team 3: MAD ≈ 4.21
Team 4: MAD ≈ 5.03
Comparing the MAD values, we can see that Team 3 has the smallest MAD of approximately 4.21.
Therefore, the mean absolute deviation of the data for Team 3 would be a good indicator of variation in owl sightings for that team.
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What is the median age of the presidents at their death? a. 69 c. 68 b. 67. 5 d. 70.
The median age of the presidents at their death is 69.
What is median?The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.
The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.
The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.
In this case, the number of data points is even, that is 38. So, the median is:
= {(n + 1) / 2}th
= {(38 + 1) / 2}th
= 19,5th
Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:
Median = (68 + 70) / 2
Median = 138 / 2
Median = 69
Hence, the median age of the presidents at their death is 69.
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Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.
46 58 64 68 73 80 90
49 60 65 70 74 81 93
53 60 66 71 77 83
56 63 67 71 78 85
56 63 67 71 78 88
57 64 67 72 79 90
What is the median age of the presidents at their death?
A. 69
C. 68
b. 67.5
d. 70
Which statement is correct?
Two questions need help with please
The combination of spinners that would not be in the budget for the fidget spinners would be C. 22 Plastic and 10 Aluminum .
The graph that represents the inequality 10 x - 2 y > 4 is Graph B.
How to find the combination ?The combination that would not be possible in the budget would be the one that exists outside of the line drawn. 22 Plastic and 10 Aluminum fidget spinners would exist outside the curve and so is not possible.
For the inequality, the fact that the sign is a greater than sign ( > ) means that the line will be dotted. And with the sign being >, the shading will be to the right which is why the right graph is B.
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As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:
Group of answer choices
1. sample size is more than half of the population size.
2. sample size is smaller than 5% of the population size.
3. sample size is greater than 5% of the sample size.
4. None of these choices.
The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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A city's population is currently 500,000. If the population doubles every 10 years, what will the population be 40 years from now
Answer:
8,000,000
Step-by-step explanation:
Since it doubles every ten years you will do 500000*2*2*2*2
A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.
Determine the approximate volume of the solid. Use 3.14 for pi. cm3
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = \(\pi r^{2}h\)
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = \(\pi (4)^2(10)\)
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - \(\frac{160\pi }{4}\)
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Learning Objective(s) 2.13: Determine the component form of a vector: . 2.14: Determine the magnitude (length=Ivector| √X comp+Y comp) and direction of a vector in Standard Position 6 arctan. Y com
A vector is a quantity that has both magnitude and direction. Magnitude refers to the length of the vector, and direction refers to the direction in which the vector is pointing.
The magnitude and direction of a vector can be used to represent a wide variety of physical quantities, including velocity, force, and acceleration. Component Form of a Vector:If we have a vector, v, with initial point A (x1, y1) and terminal point B (x2, y2), then the component form of v is given by:v = [x2 - x1, y2 - y1]We can then express the result as an ordered pair.
The magnitude (length) of a vector:The magnitude (or length) of a vector can be calculated using the formula:|v| = √(x² + y²)Where x and y are the x and y components of the vector respectively.Direction of a vector:The direction of a vector can be expressed in two ways, by an angle (θ) or by the angle of elevation
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(3) The electricity accounts of residents in a very small town are calculated as follows: - If 500 units or fewer are used, the cost is 2 cents per unit. If more than 500 but not more than 1000 units are used, the cost is $10 for the first 500 units and 5 cents for every unit in excess of 500 . - If more than 1000 units are used, the cost is $35 for the first 1000 units plus 10 cents for every unit in excess of 1000 . A basic service fee of $5 is charged, no matter how much electricity is used. Write a program that enters the following five consumptions into a vector and uses a for loop to calculate and display the total charge for each one: 200,500,700,1000,1500. (Answers: $9,$15, $25,$40,$90)
The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.
# defining function to calculate total cost
def total_cost(units):
if units <= 500:
return units * 0.02
elif units <= 1000:
return (500 * 0.02) + ((units - 500) * 0.05)
else:
return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)
# Driver Code
consumptions = [200, 500, 700, 1000, 1500]
for i in consumptions:
total = total_cost(i)
print("Total cost of Electricity for", i, "units is", round(total + 5, 2))
Output:
Total cost of Electricity for 200 units is 9.0
Total cost of Electricity for 500 units is 15.0
Total cost of Electricity for 700 units is 25.0
Total cost of Electricity for 1000 units is 40.0
Total cost of Electricity for 1500 units is 90.0
The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.
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Examine the algebra tiles. which equation is being modeled? 4x 3 = 4x 5 â€""3x (â€""3) = 4x 5 4x (â€""3) = 5x 4 â€""3x 4 = 5x 4
The equation that can be modeled by the given algebra tiles be,
4x + 3 = 4x + 5
Given, algebra tiles
we have to find an equation that can be modeled by the given algebra tiles.
as, from the given figure
four times of the right side tiles and left side tiles differ by 2.
So, according to the question,
4x + 3
and 4x + 5
On equating, we get
4x + 3 = 4x + 5
So, the equation that can be modeled by the given algebra tiles be,
4x + 3 = 4x + 5
Hence, the equation that can be modeled by the given algebra tiles be,
4x + 3 = 4x + 5
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Find the slope of the line that passes through (9,8) and (6,4)
Answer:
the slope is 4/3
Step-by-step explanation:
your welcome :D
Answer:
slope=2
Step-by-step explanation:
(3,2)
(7,10)
10-2=
7-3=
8/4=2/1=2
Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle measure of 180 degrees, what is the measure (in degrees) of Angle M?
Answer:
150 degrees
Step-by-step explanation:
Let's start off by looking at what we are working with in this specific problem:
We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)
Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.
Now that we've got all of that out of the way, let's set up a simple algebraic equation:
angle L + angle M = 180
We also know that angle L is 30 degrees so let's add it into the equation we have just created:
30 + angle M = 180
We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.
180 - 30 = angle M
Now we are left with:
150 degrees = angle M
The 3rd and the 6th terms of an Arithmetic Progresion (A.P) are 16 and 34 respectively. Find the sum of the first 6 terms
Answer:
a(first term)=4
d(common difference)=6
sum of first 6 terms=114
The sum of the first 6 terms is given by 114
What is an Arithmetic progression?An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…
Given here The 3rd and the 6th terms of an Arithmetic Progression (A.P) are 16 and 34 respectively. Here on increase in 3 terms the value changes by 34-16=18 Thus if we move by +1 term the common difference must be 18/3=6 and thus the common difference is equal to 3.
∴ The Arithmetic progression is given by:
4,10,16,22,28,34 . . . .
∴ The sum of the first 6 terms is 4+10+16+22+28+34=114
Hence, The sum of the first 6 terms is given by 114
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Use the Product Rule for Derivatives to find the first derivative of n(t) = -3ett-10 n' (t)
To find the first derivative of the function n(t) = -3e^(tt) - 10, we can apply the Product Rule for Derivatives.
Given: n(t) = -3e^(tt) - 10
Differentiate the first term (-3e^(tt)):
For this term, we have a constant multiple and the exponential function e^(tt). The derivative of e^(tt) with respect to t is e^(tt) multiplied by the derivative of the exponent, which is 2t.
So, the derivative of -3e^(tt) with respect to t is:
(-3) * (e^(tt)) * (2t) = -6te^(tt)
Differentiate the second term (-10):
Since -10 is a constant, its derivative with respect to t is 0.
Apply the product rule:
The product rule states that if we have two functions, f(t) and g(t), their derivative can be calculated as (f(t) * g'(t)) + (g(t) * f'(t)).
In this case, f(t) is -3e^(tt) and g(t) is -10.
Applying the product rule, the derivative of n(t) is:
n'(t) = (-3e^(tt) * 0) + (-10 * -6te^(tt))
= 0 + 60te^(tt)
= 60te^(tt)
Therefore, the first derivative of n(t) is 60te^(tt).
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PLEASE HELP ME URGENT PLEASE
WILL MARK BRAINLIEST
WILL GIVE 5.0 STARS
WILL GIVE THANKS
50 POINTS
PLEASE HELP ME URGENT PLEASE
PLEASE HELP ME URGENT PLEASE
WILL MARK BRAINLIEST
WILL GIVE 5.0 STARS
WILL GIVE THANKS
50 POINTS
PLEASE HELP ME URGENT PLEASE
PLEASE HELP ME URGENT PLEASE
WILL MARK BRAINLIEST
WILL GIVE 5.0 STARS
WILL GIVE THANKS
50 POINTS
PLEASE HELP ME URGENT PLEASE
Answer:
a = 20°
b = 160°
c = 125°
u = 110°
v = 70°
w = 110°
x = 70°
y = 110°
z = 110°
Step-by-step explanation:
Theorems
Vertical Angles Theorem: When two straight lines intersect, the vertical angles are congruent.Angles on a straight line: Angles on a straight line sum to 180°.Corresponding Angles Postulate: When two parallel lines are cut by a transversal, the corresponding angles are congruent.Same-side Exterior Angles: When two parallel lines are cut by a transversal, the same-side exterior angles sum to 180°.Using the Vertical Angles Theorem:
⇒ a = 20°
Using the Angles on a straight line Theorem:
⇒ 20° + b = 180°
⇒ b = 180° - 20°
⇒ b = 160°
Using the Vertical Angles Theorem:
⇒ c + 35° = b
⇒ c + 35° = 160°
⇒ c = 160° - 35°
⇒ c = 125°
Using the Vertical Angles Theorem:
⇒ u = 110°
⇒ v = 70°
Using the Same-side Exterior Angles Theorem:
⇒ v + w = 180°
⇒ 70° + w = 180°
⇒ w = 180° - 70°
⇒ w = 110°
Using the Corresponding Angles Postulate:
⇒ y = 100°
Using the Vertical Angles Theorem:
⇒ y = z = 110°
Using the Angles on a straight line Theorem:
⇒ x + z = 180°
⇒ x + 110° = 180°
⇒ x = 180° - 110°
⇒ x = 70°
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
Ryan is creating a new garden in his yard and he’d like to plant one palm tree and as many lilac bushes as he can fit within the boundaries of the garden. The total area required for a garden with a palm tree and different counts of lilac bushes is shown in the table below.
Number of
lilac bushes Area
(in sq ft)
1 442
2 484
3 526
4 568
Which of the following inequalities can be used to determine how many lilac bushes Ryan can plant if he has less than 1,200 square feet of available area in his backyard?
A.
42 + 400x < 1,200
B.
400 + 42x > 1,200
C.
400 + 42x < 1,200
D.
442 + 42x > 1,200
Therefore , the solution of the given problem of area comes out to be option A is the correct response: 42 + 400x = 1,200.
What precisely is an area?Calculating how much space would be needed to fully cover the outside will reveal its overall size. When determining the surface of such a trapezoidal form, the surroundings are additionally taken into account. The surface area of something determines its overall dimensions. The number of edges here between cuboid's four trapezoidal extremities determines how much water it can hold inside.
Here,
let's use the variable x. So, the equation for the overall area needed for a palm tree and x lilac bushes is:
=> A(x) = 442 + 42x
Now, we need to determine the highest value of x at which the overall area needed will be less than 1200 square feet. To put it another way, we want to eliminate the inequality:
=> A(x) < 1200
When we replace the equation with A(x), we obtain:
=> 442 + 42x < 1200
By taking 442 off of both ends, we arrive at:
=> 42x < 758
By dividing by the positive integer 42, we obtain:
=> x < 18
Therefore, Ryan can only place a total of 17 lilac bushes (since 18 would require more than 1200 sq ft of area).
=> 442 + 42x < 1200
which is equivalent to:
=> 42x < 758
or:
=> x < 18
So, option A is the correct response: 42 + 400x = 1,200.
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Write the repeating decimal as a fraction.
1.4979
Answer:
1 4979/9999
Step-by-step explanation:
1.497949794979....
= 1 4979/9999
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-1, 4) and (4, -8)
Answer:
d = 13
Step-by-step explanation:
Pre-Solving GivenWe are given the points (-1, 4) and (4, -8), and we want to find the distance between these two points.
FormulasThe distance can be found using the formula \(\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.
Even though we already have two points, let's label the values of the points to avoid any confusion and mistakes while calculating.
\(x_1=-1\\y_1=4\\x_2=4\\y_2=-8\)
SolvingWe can substitute our values into the distance formula to find the distance.
d=\(\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}\)
d=\(\sqrt{(4--1)^2+ (-8-4)^2}\)
Simplify what is going on in the parentheses.
d=\(\sqrt{(4+1)^2+ (-8-4)^2}\)
Add (or subtract) the values.
d=\(\sqrt{(5)^2+ (-12)^2}\)
Raise 5 and -12 to the second power.
d = \(\sqrt{25+ 144}\)
Add 25 and 144 together.
d = \(\sqrt{169}\)
Take the square root of 169.
d = 13
The distance is 13.
Topic: Distance between two points
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Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2 . What is the equation of the line? A. B. C. D.
Answer:
y = 3/2x-12
Step-by-step explanation:
The slope-intercept form of a line is
y = mx+b where m is the slope and b is the y-intercept
The slope is 3/2 and the y-intercept is -12.
y = 3/2x-12
Answer:
\(\sf y = \dfrac{3}{2}x - 12\)
Step-by-step explanation:
The equation of a linear function can be written in the form y = m x + c, where,
m → slope → 3/2
c → y-intercept → -12
we can substitute these values into the equation.
The slope, m, is 3/2, so the equation becomes:
y = (3/2)x + c
The y-intercept, c, is -12, so we can replace c with -12:
\(\sf y = \dfrac{3}{2}x - 12\)
Therefore, the equation of the line is y = (3/2)x - 12
Hey everyone and anyone of anybody could please help me with this math worksheet i would greatly appreciate it
The side x is 30 miles
The unknown side is 346 yards
What is the sine rule?The sine rule, also known as the law of sines, is a formula that relates the sides and angles of a non-right triangle (a triangle that does not have a 90-degree angle). The sine rule states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides of the triangle.
1) Using the sine rule;
x/sin 65 = 32/sin75
xsin75 = 32sin65
x = 32sin65/sin75
x = 30 miles
2) The angle = π/3 = 180/3 = 60 degrees
Using the cosine rule;
c^2 = (200)^2 + (400)^2 - (2 * 200 * 400) cos 60
c^2 = 200,000 - 80,000
c = 346 yards
Learn more about cosine rule:https://brainly.com/question/28716982
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