Answer:
y = 3x + 9
Step-by-step explanation:
To find the equation of a line that goes through two points, we can use the slope-intercept form of a line which is y = mx + b.
First, we need to calculate the slope, m. To do this, we can use the formula m = (y2 - y1)/(x2 - x1). In this problem, we have (6 - (-3))/(-1 - 5) = 9/-6 = -3/2.
Next, we can substitute the slope and one of the points into the slope-intercept form. We'll use (5,-3): y = -3/2x + b. When we plug in the coordinates, we get -3 + b = -3, so b = 0.
Therefore, the equation of the line that goes through the points (5,-3) and (-1,6) is y = -3/2x + 0 or y = 3x + 9.
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#2) Choose the graph that matches the equation below.
y =1/2x+1
A
B
C
D
Answer:
A
Step-by-step explanation:
The answer is A because the slope is 1/2, and according to rise over run, the line goes up 1 and to the right 2, which is correct. The y-intercept is also 1, as the line goes through 1 on the y axis.
for the given points a(-4 6) and b(6 -4) find the slope of a line through points A and B
Answer:
the required slope of the points is -1...
Pam kicked a soccer ball down the field. Part of the balls path including its highest point is described by the function below, where f(x) is the height of the ball in feet. According to the function what is the ball's maximum height and feet. Use only digits 0 through 9 to enter the height.
F(x)=1/12x^2+2x
Answer:
Below
Step-by-step explanation:
F(x)=1/12x^2+2x for this quadratic , max value will occur at x= -b/2a
= - 2 / (2* 1/12) = -12
Plug in -12 to find the max height
1/12 (-12)^2 + 2 * -12 = -12 ft
I think you have messed up the equation? maybe 1/2 x^2 rather than 1/12 x^2 ???
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
? 3
6 9
? 16
12 ?
Answer:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.
Step-by-step explanation:
Shawn is a member of a book club. He pays a $50 yearly membership fee and can purchase books through the club for $5 each. His total annual cost is a function of the number of books, b, that he purchases in a year:
C(b) = 5b + 50
What is the total cost if he purchase 17 books in a year?
Answer:
The annual total cost is $135 when he purchases 17 books
Step-by-step explanation:
Given function is:
C(b) = 5b + 50
Here c is the output which is cost and b is the input which is number of books purchased in an year.
In order to find the total cost when he purchases 17 books, we have to put 17 in place of b and find the cost.
So,
Putting b = 17
\(C(17) = 5(17) + 50\\= 85+50 = 135\)
Hence,
The annual total cost is $135 when he purchases 17 books
****Middle school math please help***
Norman is replacing his wooden deck that measures
11 1/2
feet by
8 1/2
feet. He wants to increase both the length and width of the deck floor by 2 feet. The wood costs $4.25 per square foot. To the nearest cent, how much will the wood for the new deck floor cost?
Answer:
602.44
Step-by-step explanation:
13.5 times 10.5 equals 141.75 square feet
then 141.75 times 4.25
A cube with a side length of ___ unit is called a unit cube
Answer:
1
Step-by-step explanation:
unit means oneso it's 1
PLEASE HELP ME, IVE BEEN STUCK ON THIS QUESTION FOR AWHILE NOW
Answer: i think its c
Step-by-step explanation:
Find the equation of the tangent line to y = tan? (2x) at x =-* tan² (2x) = {tan (2x)² J = 2 (tan (2x)) y =2/tan 2x) (sec²(2x 1/2)
To find the equation of the tangent line to the curve y = tan²(2x) at x = π/4, we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.
First, let's find the derivative of y with respect to x. Using the chain rule, we have:
dy/dx = 2tan(2x) sec²(2x).
Now, let's substitute x = π/4 into the derivative:
dy/dx = 2tan(2(π/4)) * sec²(2(π/4))
= 2tan(π/2) * sec²(π/2)
= 2(∞) * 1
= ∞.
The derivative at x = π/4 is undefined, indicating that the tangent line at that point is vertical. Therefore, the equation of the tangent line is x = π/4. Note that the equation y = 2/tan(2x) (sec²(2x) + 1/2) is not the equation of the tangent line, but rather the equation of the curve itself. The tangent line, in this case, is vertical.
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3 A board 12 - feet long is cut so that 4 7 feet are left. What length of the board was cut off? 8 A) 21 / 4 25 B) 2 - ft 8 3= ft D) 7 3- ft 3a
Answer:
I think its D
Step-by-step explanation:
wait for someone else to answer to double check have a great day
Does anyone know how to do equations in 6th-grade math? i will be rewarding 15 points to whoever helps me
Answer:
yeah sure
Step-by-step explanation:
the answer is there already right
Given that ABCD is a rhombus, what is the value of X?
Answer:
3
Step-by-step explanation:
x=(5x-13)
so you work that equation out
take the 5x to the side of x and equate it to what you get
x=5x-13
5x+x=13+5
6x = 18 = x=3
6 6
x=3
Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Ethan or Adrian is farther along in the book after 4 days.
The equations are e = 18+12t and a = 45+9t
Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan
Ethan's page number at the beginning of the month = 18
Adrian's page number at the beginning of the month = 45
Pages read by Ethan each day = 12 pages
Pages read by Adrian each day = 9 pages
Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.
Formulating the equation we get the following:
e = 18 + 12t
a = 45 + 9t
Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:
e = 18+12(4)
e = 66
a = 45 + 9(4)
a = 81
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Use suitable identity to find the product of (7 – 2y) (7 +2y).
\( \tt (7 - 2y) (7 +2y)\)
By using identinty :
\( \large \underline{\boxed{\bf{(a-b)(a+b) = a^2 - b^2}}}\)
\( \tt : \implies (7 - 2y) (7 +2y) = (7)^{2} - (2y)^{2}\)
\( \tt : \implies (7 - 2y) (7 +2y) = 49 - 4y^{2}\)
\( \large \underline{\boxed{\bf{(7 - 2y) (7 +2y) = 49 - 4y^{2}}}}\)
Hence, value of (7 - 2y) (7 +2y) is 49 - 4y².
If a function rule is 2x – 3, what is the output for the input 3?
Answer:
The function rule can be written as: f(x) = 2x-3
So, when we input 3, we replace all of the x's for 3's and have: f(3) = 2(3)-3.
This simplifies to be: f(3) = 3, meaning that 3 is the output.
Hope this helps!
Answer:3
Step-by-step explanation:
The output value is y so set an equation at y=2x-3. Now x is the input value so plug in 3 for x. Two times three is 6 and then you have to subtract three from that. So the output value for an input of 3 is 3.
N=6 Which value for N would make the statement above true?
Answer:6
Step-by-step explanation:
N=6
⇒6=6
∴LHS=RHS
helppppppp
The students in Mrs. Brown's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
10, 14, 7, 7, 6, 12, 6
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
Answer:
7 -if rounded to the nearest tenth would be 10
Step-by-step explanation:
The median is the number in the middle so
6-6-7-7-10-12-14
There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)
The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =
The distance between the two points pictured will be \(\sqrt{61}\).
What is the distance between the two points?The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)= (-3,-2)
(x₂,y₂)=(2,4)
The distance between the two points is found as;
\(\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}\)
Hence the distance between the two points pictured will be \(\sqrt{61}\).
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Answer:
n=61
Step-by-step explanation:
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(-6, 9) & (2,9).
Given that,
Point 1 = (-6,9)
Point 2 = (2,9)
To find,
The slope of a line that passes through the given pair.
Solution,
We have,
x₁ = -6, x₂ = 2, y₁ = 9, y₂ = 9.
The formula for the slope of a line is given by :
\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\=\dfrac{9-9}{2-(-6)}\\\\=0\)
Hence, the slope of the line that passes through the given pair is 0.
Calculate the surface area of the following objects.
Answer: 15150 \(cm^{2}\)
Step-by-step explanation:
2(83 × 45) + 2(30 × 45) + 2(30 × 83)
2(3735) + 2(1350) + 2(2490)
7470 + 2700 + 4980
= 15150
please give me a brainliest answer
50 POINTS ASAP Use the image to determine the type of transformation shown.
image of polygon ABCD and a second polygon A prime B prime C prime D prime above it
180° clockwise rotation
Horizontal translation
Reflection across the x-axis
Vertical translation
Since polygon A prime B prime C prime D prime above is above the image of polygon ABCD, the type of transformation shown is: D. vertical translation.
What is a transformation?In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.Read more on function and translation here: brainly.com/question/31559256
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Answer:
Vertical translation
Step-by-step explanation:
I am in the middle of taking the quiz and belive this is the correct answer!
Solve for x
Enter the solutions from least to greatest.
(3x – 6)(-x + 3) = 0
lesser x =
greater x =
__7. Cooling Tea: A freshly made cup of tea is served at a temperature of about 180°F. The tea
cools rapidly at first, and then slows down gradually as it approaches room temperature.
Independent Quantity:
Dependent Quantity:
The sum of 555 consecutive odd numbers is 135135135.
I'm guessing you mean to say that sum of 5 consecutive odd numbers is 135. In that case, let x be the first number. Then
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135
5x + 20 = 135
5x = 115
x = 23
So the numbers are 23, 25, 27, 29, and 31.
If you really did mean 555 consecutive odd numbers summing to 135,135,135, the process is the same, but you would find a non-integer solution so that wouldn't be possible.
Answer:
The answer is 25
Step-by-step explanation:
I got this answer on Khan Academy
Hope this helps! :)
factor 1/9 out of 1/9x+10/9
Answer:
11/9
Step-by-step explanation:
Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store's profit?
Answer:
$35
Step-by-step explanation:
What is 153^2 / 23^2 * 4 + 400 / 4?
Answer:
Approximately 277
Accurately construct triangle ABC using the information below
AB=8cm
AC=5cm
Angle BAC=70 degrees
Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.
What is triangle ABC?Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:
Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.
Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.
Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.
Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.
Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.
Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.
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L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 b.Explain the value of each digit in your answer to 1(a) using place value terms.
Answer: $5.5
Step-by-step explanation:
Here is the complete question:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms
Item sold = 486
Total amount = $2673
Price of each item = Total amount/items sold
= 2673/486
= $5.5
Each item costs $5.5.
5.5 = 5 units and 5 tenths.
The first number after the decimal point by the right is the tenths.
What is 6 divided by 3/5 in Khan academy?
Answer:
10
Step-by-step explanation:
6*5/3 = 30/3
simplify 30/3 = 10
High Hopes
Barrii