Answers
The correct option is B
The equation of the line is:
\(y=\frac{9}{2}x-24\)Explanation:Given the points: (4, -6) and (6, 3)
The equation of a line is given as:
\(y=mx+b\)Where m is the slope and b the y-intercept
The slope is obtained as follows:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ =\frac{3-(-6)}{6-4}=\frac{3+6}{2}=\frac{9}{2} \end{gathered}\)With m = 9/2, we have the line as:
\(y=\frac{9}{2}x+b\)Now, we find the y-intercept, using either of the given points.
Using (6, 3), x = 6, y = 3
\(\begin{gathered} 3=\frac{9}{2}(6)+b \\ \\ 3=27+b \\ b=3-27=-24 \end{gathered}\)Therefore, the equation is:
\(y=\frac{9}{2}x-24\)Related Questions
The surface area of this figure
Answers
Answer:
use formula : 2h ( l + b )
= 2 × 7.2 ( 10.3 + 5.4 )
= 226.08 cm ^ 2
If you need any other help , let me know! [ you'll have to pay ]
Answer: 337.32 cm²
There are two ways to solve your problem.
[Way #1]
To find the surface area, we will find the area of the six sides. This will be three pairs of congruent rectangles (six total).
-> See attached
-> In summary, find the area of all the sides and add them together
[Way #2]
We can use the formula below to solve in one step. Let 7.2 cm be the width, 10.3 cm be the length, and 5.4 cm be the height.
-> This formula is doing exactly what way #1 does, but in fewer steps.
A = 2(wl + hl + hw)
A = 2((7.2 cm)(10.3 cm) + (5.4 cm)(10.3 cm) + (5.4 cm)(7.2 cm))
A = 2(74.16 cm + 55.62 cm + 38.88 cm)
A = 337.32 cm²
Solve by Factoring:
2x^2 - x - 3 = 0
Answers
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
-8(1+4p) +7p =-25-8p
Answers
Answer:
p = 1
Step-by-step explanation:
Given equation,
→ -8(1 + 4p) + 7p = -25 - 8p
Let's solve for the value of p,
→ -8(1 + 4p) + 7p = -25 - 8p
→ -8 - 32p + 7p = -25 - 8p
→ -32p + 7p + 8p = -25 + 8
→ -17p = -17
→ p = (-17)/(-17)
→ [ p = 1 ]
Hence, the value of p is 1.
According to government data 22 percent of children in the United States under the age of 6 years live in households with incomes that are closed a pincome A simple random sample of 300 children in the United States under the age of 6 years was selected for a study of learning in early childhood if the government data are correct, which of the following best approximates the probability that at 27 percent of the children in the sample live in households that are closed at the particulo income level o represents a standard normal random variable) ole O с P D Р 0.27-0.22 (0.22)(0.78) Or pli C 0.27–0.22 (0.27)(0.73) 300 Р 0.22-0.27 10:22)(0.78) E 0.22-0.27 V (0.27)(0.73)
Answers
The problem is asking to find the probability that in a sample of 300 children under the age of 6 years in the United States, 27% of them live in households that are at or below poverty income.
The first step is to calculate the standard deviation for the proportion of children in poverty in the sample. This can be done using the formula:
σ = sqrt(p * (1-p) / n)
Where p is the proportion of children in poverty in the population (0.22) and n is the sample size (300).
Next, we can standardize the difference between the sample proportion and the population proportion using the z-score formula:
z = (p_sample - p_population) / σ
Finally, we can find the probability that the z-score is less than or equal to the z-score corresponding to a 27% sample proportion using a standard normal table or calculator. This probability can be interpreted as the probability that 27% or fewer children in the sample are living in households below poverty income.
Answer choice C, (0.27 - 0.22) * (0.73), does not seem to be related to the steps outlined above and does not provide an accurate answer for the problem.
To learn more about probability please click on below link.
https://brainly.com/question/14210034
#SPJ4
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answers
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many
solutions, which statement must be true?
A) On the graph, there are no points (z, y) that satisfy both equations.
B) On the graph, there is exactly one point (z,y) that satisfies both the equations.
C) On the graph, any point (z,y) that satisfies one of the equations cannot satisfy the other equation.
D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.
Answers
What's the solution to –9x + 4 < 40?
Answers
Answer:
see below
Step-by-step explanation:
-9x + 4 < 40
-9x < 36
x > -4 (Dividing or multiplying an inequality by a negative number flips the sign)
What is the area of the kite? 20 36 40 80
Answers
Answer:
44
Step-by-step explanation:
20+36+40+80= 176
176/4= 44
What is the range of the function? f(x)=3^x−1−2
Answers
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
Read more about range at
brainly.com/question/27910766
#SPJ1
What is the range of f(x) = -62*?
O A. y< 1
OB. y<0
O C. y> 0
O D. All real numbers
Answers
Answer:
D. all real numbers
Step-by-step explanation:
i think this is the answer sorry if you get it wrong.
Write an equivalent fraction with a denominator of 10
1/2 = ?/10
Answers
Answer:
5/10
Step-by-step explanation:
An equivalent fraction will have the numerator and denominator multiplied by the same value.
ApplicationThe denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...
\(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)
a new social media sit is increasing its user base by approximately 4% per month. If the site currently has 35.930 users, what will the approximate user base be 10 months from now?
Answers
Answer:
The approximate user base of the social media site 10 months from now would be approximately 52,374.
Step-by-step explanation:
To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:
1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04
2. Apply the growth factor to the current user base for each month:
Month 1: 35,930 * 1.04 = 37,387.2 (approx.)
Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)
...
Month 10: Previous Month * 1.04
By repeating this calculation for each month, we can determine the approximate user base 10 months from now.
Month 1: 37,387.2
Month 2: 38,868.49
Month 3: 40,391.33
Month 4: 41,957.61
Month 5: 43,569.34
Month 6: 45,228.24
Month 7: 46,936.32
Month 8: 48,695.44
Month 9: 50,507.45
Month 10: 52,374.40 (approx.)
Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.
Please helppppppp
Imagine a motion graph with distance on the Y-axis and time on the X-axis. The graph shows the motion of two objects using two separate lines. Explain how you could use the lines to compare the speed of the two objects. Then, tell how you could determine whether the speed of either object changed during the time shown on the graph.
Answers
You could use the lines by comparing the steepness of the lines. The one that has more slope is the one that would have the greater speed.
How to get the speedTo compare the speed of the two objects, we can look at the steepness of their respective lines. The steeper the line, the faster the object is moving. If the lines have the same slope, then the objects are moving at the same speed.
To determine whether the speed of either object changed during the time shown on the graph, we need to look for changes in the slope of the lines. If the slope of a line becomes steeper, then the object is accelerating and its speed is increasing. If the slope becomes less steep, then the object is decelerating, and its speed is decreasing. If the slope remains constant, then the object is moving at a constant speed.
Read more on speed here: brainly.com/question/13943409
#SPJ1
What is the value of g1(-2)
Answers
Answer:
look at it
Step-by-step explanation:
hope its help
please follow
A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate,at most, by 4 miles per gallon. Which of the following absolute value inequalitiesmatches this scenario?
Answers
1) Gathering the data
18miles per gallon
at most 4 miles per gallon
2) Based on that, notice that at most 4 miles per gallon is the fluctuation for better or for worse.
Then we can write, for x the number of miles
| x +18 | ≤ 4
Use the information below to find the value of x. Explain your steps.
Answers
Find x to the nearest tenth.
Answers
This Venn diagram represents the science subjects studied by students what is the probability chosen at random that that child does not study chemistry
Answers
Answer:
0.49
Step-by-step explanation:
From the Venn diagram:
The number of students that study biology and physics = 2
The number of students that study biology and chemistry = 6
The number of students that study chemistry and physics = 4
The number of students that study only physics = 5
The number of students that study only biology = 7
The number of students that study only chemistry = 8
The number of students that study all 3 subjects = 3
The number of students that study none = 6
Therefore the total number of students = 2 + 6 + 4 + 5 + 7 + 8 + 3 + 6 = 41 students
The number of students that study chemistry = 8 + 6 + 3 + 4 = 21 students
The number of student that does not study chemistry = 41 - 21 = 20 students
the probability chosen at random that that child does not study chemistry = number of student that does not study chemistry / total number of students = 20/41 = 0.49
Why do equivalent ratios form a straight line when graphed? O The vertical distance between points is constant, and the horizontal distance between points increases with each point. O The ratio of the change in y-values to the change in x-values is equivalent for any two points in a graph of equivalent ratios. O The horizontal distance between points is constant, and the vertical distance between points increases with each point. O The y-values of equivalent ratios increase at a constant rate, and the x-values decrease at a constant rate.
Answers
Answer:
The answer is B, The ratio of the change in y-values to the change in x-values is equivalent for any two points in a graph of equivalent ratios.
Step-by-step explanation:
I did it on edge and also because when ratios change in both y and x values they will be equivalent to any 2 points in a graph of equivalent ratios.
Answer:
It is
Step-by-step explanation:
What should be subtracted from minus 3 / 4 so has to get 5 / 6 ?
Answers
Answer:
Step-by-step explanation:
Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and
6,which is 12.
3*3/4*3=9/12
5*2/6*2=10/12
Step 2:Subtract 9/12 from 10/12,which is 1/12.
If measure of angle 3= 74 find each measure
Answers
Answer:
A 74
B 74
C 74
D 106
E 106
F 106
G 106
Step-by-step explanation:
Subtract from 180
Hope this helps
This is about understanding transverse angle theorem.
∠1 = ∠5 = 74°
∠2 =∠6 = 106°
∠3 = ∠7 = 74°
∠4 = ∠8 = 106°
We are told that ∠3 = 74°
This ∠3 forms a straight line with ∠4 and ∠2.
From angle theorems, we know that sum of angles on a straight line is equal to 180°.Thus;
∠4 = ∠2 = 180° - 74°
∠4 = ∠2 = 106°
Similarly, ∠2 forms a straight line with ∠1 and so;∠1 = 180° - 106°
∠1 = 74°
Now, we can see two parallel lines being cut by a transversal line and from transverse angle theorem, when two or more parallel lines are cut by a transverse line, the angles that occupy the same relative position are equal and are called corresponding angles.From the image, we see that;∠1 and ∠5 occupy the same relative position
∠2 and ∠6 occupy the same relative position
∠3 and ∠7 occupy the same relative position
∠4 and ∠8 occupy the same relative position
Thus;∠1 = ∠5 = 74°
∠2 =∠6 = 106°
∠3 = ∠7 = 74°
∠4 = ∠8 = 106°
Read more at; https://brainly.com/question/11280470
help math
look at pic
Answers
Answer: \(\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}\)
Step-by-step explanation:
Given the system of equation
\(1)~y=-(x+2)^2+1\)
\(2)~y=2x+5\)
Expand the parenthesis of the 1) equation
\(y=-(x+2)^2+1\)
\(y=-(x^2+4x+4)+1\)
\(y=-x^2-4x-4+1\)
\(y=-x^2-4x-3\)
Current System
\(1)~y=-x^2-4x-3\)
\(2)~y=2x+5\)
Substitute the y value of the 1) equation with the 2) equation
\(2x+5=-x^2-4x-3\)
Add ( x² + 4x + 3) on both sides
\(2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)\)
\(2x+5+x^2+4x+3=0\)
Combine like terms
\(x^2+2x+4x+5+3=0\)
\(x^2+6x+8=0\)
Factorize the quadratic equation
\((x+4)(x+2)=0\)
\(x=-4~\text{or}~x=-2\)
Substitute the x values into one of the equations to find the y value
\(y=2x+5\)
\(y=2(-4)+5=-8+5=-3\)
\(y=2(-2)+5=-4+5=1\)
Therefore, the two solutions are:
\(\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}\)
Hope this helps!! :)
Please let me know if you have any questions
If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answers
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
PLEASEEEEEEEEEE HELPPP
Answers
1. A helicopter is at a position from two VORS (VHF Omnidirectional
Radio Range, an aircraft navigation system operating in the VHF band -
not covered in chapter) as in the diagram shown below. Given the angles
shown, find the third angle.
Helicopter
74.0°
66.0°
VOR
VOR
Answers
The position of the helicopter and the two VORs forms a triangle and the third angle formed by these three entities is 40 degrees
The diagram is not shown; however, the question can still be answered.
The given angles are:
\(\theta_1 = 74.0^o\)
\(\theta_2 = 66.0^o\)
Represent the third angle as \(\theta_3\)
The helicopter and the 2 VORs form a triangle.
So, we make use of the following theorem to calculate the third angle
\(\theta_1 + \theta_2 + \theta_3= 180^o\) ---- sum of angles in a triangle
Substitute known values
\(74.0^o + 66.0^o + \theta_3= 180^o\)
\(140.0^o + \theta_3= 180^o\)
Collect like terms
\(\theta_3= 180 -140.0^o\)
\(\theta_3= 40^o\)
Hence, the third angle is 40 degrees.
Learn more about angles in a triangle at:
https://brainly.com/question/14780489
GIVING BRANLIEST Which prism has a greater surface area?
2 prisms. A rectangular prism has a length of 12 inches, height of 8 inches, and width of 6 inches. A triangular prism has a rectangular base with a length of 6 inches and height of 12 inches. 2 rectangular sides are 12 inches by 10 inches. The triangular sides have a base of 6 inches an height of 8 inches.
The rectangular prism has a greater surface area by 72 square inches.
The rectangular prism has a greater surface area by 88 square inches.
The triangular prism has a greater surface area by 72 square inches.
The triangular prism has a greater surface area by 88 square inches.
Answers
Answer:
Rectangular prism
Step-by-step explanation:
Which expression is equivalent to 1/5 divided by 1/2
Answers
Answer:
Step-by-step explanation:
1 /5 divided by 1/2 is
1/5 times 2/1 = 2/5
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Answers
Which of the following is an example of a rational number?
Answers
Please give me a thanks I would really appreciate it
For the function f(x) = -2x?, if the domain is {-3, 0, 3}, find the range.
=-
Answers
Answer:
here the Range ={6,0,-6}