Answer:
An = 32 - (4*(n-1))
Step-by-step explanation:
the starting term for this pattern is 32 (which you will need to include in the "rule")
you also know that the next term is the previous term - 4
so!
we can write this pattern as
An = 32 - (4*(n-1))
An = any number of term in the pattern
- ex). A2 = 28, A3 = 24, etc
n = the nth term
- the 3rd term = 24, the fourth term = 20, etc
Answer:
![5x^2 y^2](https://tex.z-dn.net/?f=5x%5E2%20y%5E2)
Step-by-step explanation:
We need to use the properties shown below to solve this:
1. ![\sqrt[n]{x^a} =x^{\frac{a}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Ea%7D%20%3Dx%5E%7B%5Cfrac%7Ba%7D%7Bn%7D%7D)
2. ![\sqrt{x}\sqrt{x} =x](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%5Csqrt%7Bx%7D%20%20%3Dx)
3. ![\sqrt{x} \sqrt{y}=\sqrt{x*y}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%5Csqrt%7By%7D%3D%5Csqrt%7Bx%2Ay%7D)
Area of a triangle is given by 1/2 * base * height, so we do that and simplify:
![A=\frac{1}{2}(\sqrt{5x^3} )(2\sqrt{5xy^4} )\\A=\frac{1}{2}(5x^3)^{\frac{1}{2}}*2*(5xy^4)^{\frac{1}{2}}\\A=\sqrt{5}x^{\frac{3}{2}}*\sqrt{5}\sqrt{x} } y^2\\A=\sqrt{5} \sqrt{5}x^{\frac{3}{2}} x^{\frac{1}{2}}y^2\\A=5*x^2y^2\\A=5x^2 y^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28%5Csqrt%7B5x%5E3%7D%20%29%282%5Csqrt%7B5xy%5E4%7D%20%29%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%285x%5E3%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%2A2%2A%285xy%5E4%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5CA%3D%5Csqrt%7B5%7Dx%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%2A%5Csqrt%7B5%7D%5Csqrt%7Bx%7D%20%7D%20%20y%5E2%5C%5CA%3D%5Csqrt%7B5%7D%20%5Csqrt%7B5%7Dx%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7Dy%5E2%5C%5CA%3D5%2Ax%5E2y%5E2%5C%5CA%3D5x%5E2%20y%5E2)
Answer:
The slope is 3
Step-by-step explanation:
Parallel lines always have the same slopes. This equation is in slope-intercept form, y=mx+b, m being the slope. Our m, or the slope, is 3, and because the line is parallel, it also has a slope of 3.
9514 1404 393
Answer:
b. 9 inches
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Solving for h, we get ...
h = 2A/b
h = 2(36 in²)/(8 in) = 72/8 in
h = 9 in
The height of the triangle is 9 inches.