2x - 3y = 6
To find the x-intercept, plug zero in for y and solve.
2x - 3(0) = 6
2x = 6
divide both sides by 2
x = 3
The ordered pair is (3,0)
Answer:
512000
Step-by-step explanation:
l=80cm
v=l^3
=80^3
=512000cm^3
Answer:
The height of wall is 3 feet and length of wall is 5 feet
Step-by-step explanation:
Given as :
The Area of retaining wall = 15 square feet
Let The width of wall = W feet
The Height of wall = ( W - 2 ) feet
Now, Area of Rectangle = Height width
Or , 15 ft² = ( W - 2 ) ft × W ft
Or, 15 = W² - 2 W
Or, W² - 2 W - 15 = 0
Or, W² - 5 W + 3 W - 15 = 0
Or, W ( W - 5 ) + 3 ( W - 5 ) = 0
So , ( W - 5 ) ( W + 3 ) = 0
So, W = 5 , - 3
∴ The width of wall = W = 5 feet
And The Height of wall = ( W - 2 ) = 5 - 2 = 3 feet
Hence The height of wall is 3 feet and length of wall is 5 feet. Answer
Answer:
It landed at a height of 14 feet
Step-by-step explanation:
Given
--- Path of a t-shirt
--- height of bleachers
Required
Height when t-shirts land in bleachers
![3y = 2x - 14](https://tex.z-dn.net/?f=3y%20%3D%202x%20-%2014)
Make y the subject
![y = \frac{2}{3}x - \frac{14}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B14%7D%7B3%7D)
Substitute
in ![y = -\frac{1}{8}x^2 +4x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7Dx%5E2%20%2B4x)
![\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B14%7D%7B3%7D%20%3D%20%20-%5Cfrac%7B1%7D%7B8%7Dx%5E2%20%2B4x)
Multiply through by 24
![16x- 112 = -3x^2 +96x](https://tex.z-dn.net/?f=16x-%20112%20%3D%20-3x%5E2%20%2B96x)
Express as:
![3x^2 + 16x -96x- 112 = 0](https://tex.z-dn.net/?f=3x%5E2%20%2B%2016x%20%20-96x-%20112%20%3D%200)
![3x^2 -80x- 112 = 0](https://tex.z-dn.net/?f=3x%5E2%20-80x-%20112%20%3D%200)
Using a calculator:
or ![x = -\frac{4}{3}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B4%7D%7B3%7D)
x can not be negative:
So:
![x = 28](https://tex.z-dn.net/?f=x%20%3D%2028)
Substitute
in
to calculate the height it landed
![y = -\frac{1}{8} * 28^2 + 4 * 28](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7D%20%2A%2028%5E2%20%2B%204%20%2A%2028)
![y = 14](https://tex.z-dn.net/?f=y%20%3D%2014)