Answer: m = -5/8
Step-by-step explanation:
The general equation for slope is rise over run, also known as:
m=(y2-y1)/(x2-x1)
From the points (x, y), we can get all the variables we need.
(-1, -7) gives us x1 = -1 and y1 = -7
(-9, -2) gives us x2 = -9 and y2 = -2
If we plug all the values in, we get:
m = (-2 - (-7))/(-9 - (-1))
m = (-2 + 7)/(-9 + 1) the negatives cancel
m = (5)/(-8)
m = -5/8
Answer: 3 in.
Step-by-step explanation:
Given
The base of the triangle is 
The area of the triangle is 
Solve mixed fraction
Base is

Area is

The area of the triangle is given by

Insert the values to get the height

Y is the easiest to fix because it has no coefficient, and is therefore the easiest to set on the other side of the equation by itself
Answer:

Step-by-step explanation:
What is the cube root of
? This is the question.
We can write:
![\sqrt[3]{27a^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27a%5E%7B12%7D%7D)
We will use the below property to simplify:
![\sqrt[n]{a*b}=\sqrt[n]{a} \sqrt[n]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%2Ab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%20%20%5Csqrt%5Bn%5D%7Bb%7D)
So, we have:
![\sqrt[3]{27a^{12}} =\sqrt[3]{27} \sqrt[3]{a^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27a%5E%7B12%7D%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%20%5Csqrt%5B3%5D%7Ba%5E%7B12%7D%7D)
We will now use below property to further simplify:
![\sqrt[n]{x} =x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Thus, we have:
![\sqrt[3]{27} \sqrt[3]{a^{12}} =3*(a^{12})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%20%5Csqrt%5B3%5D%7Ba%5E%7B12%7D%7D%20%3D3%2A%28a%5E%7B12%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
We know power to the power rule: 
Now, we have:

This is the correct answer: 
4p^2-3/4p^2. I hope that help..