Answer:
b) y = 2/3x
Step-by-step explanation:
Slope (m) formula: ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
I will be using (3,2) and (-3,-2) to find the slope:
![m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-2%7D%7B-3-3%7D%5C%5Cm%3D%5Cfrac%7B-4%7D%7B-6%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
![y = mx + b\\y = \frac{2}{3}x+b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb)
(3,2)
![y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb%5C%5C%5C%5C2%20%3D%20%5Cfrac%7B2%7D%7B3%7D%283%29%2Bb%5C%5C%5C%5C2%20%3D%202%2Bb%5C%5C-2%20%20-2%5C%5C%5C%5C0%3Db)
![y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2B0%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx)
Hope this helps!
Answer:
x^12.
Step-by-step explanation:
x^4 times x^4 times x^4.
Since we don't know x and the 4's are exponents we just add them together.
Answer:
C. Perpendicular Lines
D. Intersecting Lines
Step-by-step explanation:
Intersecting lines are a pair of lines, line segments or rays are intersecting if they have a common point.
Perpendicular lines are a point where two city roads intersect.
Hope this helps. I am sorry if you get it wrong.
Answer:
6 gallons in one minute :)
Step-by-step explanation:
Answer:
![V=12\ ft^{3}](https://tex.z-dn.net/?f=V%3D12%5C%20ft%5E%7B3%7D)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or ![y=k/x](https://tex.z-dn.net/?f=y%3Dk%2Fx)
In this problem
![P*V=k](https://tex.z-dn.net/?f=P%2AV%3Dk)
step 1
Find the value of K
For ![P=24\ psi ,V=15\ ft^{3}](https://tex.z-dn.net/?f=P%3D24%5C%20psi%20%2CV%3D15%5C%20ft%5E%7B3%7D)
substitute
![24*15=k](https://tex.z-dn.net/?f=24%2A15%3Dk)
![k=360](https://tex.z-dn.net/?f=k%3D360)
the equation is ![P*V=360](https://tex.z-dn.net/?f=P%2AV%3D360)
step 2
For ![P=30\ psi ,V=\ ft^{3}](https://tex.z-dn.net/?f=P%3D30%5C%20psi%20%2CV%3D%5C%20ft%5E%7B3%7D)
substitute in the equation
![(30)*V=360](https://tex.z-dn.net/?f=%2830%29%2AV%3D360)
![V=360/30=12\ ft^{3}](https://tex.z-dn.net/?f=V%3D360%2F30%3D12%5C%20ft%5E%7B3%7D)