(2/3)^3 = 8/27 cubic yards
Answer:
<h2>
m∠a = 67° , m∠b = 42°</h2>
Step-by-step explanation:
∠a is alternate interior angle to ∠ECD
∠b is alternate interior angle to ∠BCD
so:
If AB || CD then:
m∠a = m∠ECD = 25° + 42° = 67°
m∠b = 42°
Scientific notation is als<span>o </span>called power-of-10 notation, is a method of writing extremely large and small numbers.
when a number written in scientific notation includes a positive exponent, the magnitude of the number is <span>greater than one</span>
Question 7: Answer J (7/8 - 1/2 = 3/8)
Answer:
The equation for the following graph:
![y = -\frac{1}{5}x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx)
Step-by-step explanation:
- You first need to find the slope by using the <u>slope formula</u>:
![m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D)
(where
is the first point and
is the second point)
-Use the given points
and
from the graph for the formula:
![m = \frac{-2 - 0}{10 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%20-%200%7D%7B10%20-%200%7D)
Then, you solve:
![m = \frac{-2 - 0}{10 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%20-%200%7D%7B10%20-%200%7D)
![m = -\frac{1}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
After you have found the slope, use the slope
and the first point
for the <u>point-slope formula:</u>
![y - y_{1} = m ( x - x_{1})](https://tex.z-dn.net/?f=y%20-%20y_%7B1%7D%20%3D%20m%20%28%20x%20-%20x_%7B1%7D%29)
<u>(</u>where
is the slope and
is the first point)
![y - 0 = -\frac{1}{5} ( x - 0)](https://tex.z-dn.net/?f=y%20-%200%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%20%20%28%20x%20-%200%29)
Then, you solve:
![y - 0 = -\frac{1}{5} ( x - 0)](https://tex.z-dn.net/?f=y%20-%200%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%20%20%28%20x%20-%200%29)
![y - 0 = -\frac{1}{5}x - 0](https://tex.z-dn.net/?f=y%20-%200%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20-%200)
![y - 0 + 0 = -\frac{1}{5} - 0 + 0](https://tex.z-dn.net/?f=y%20-%200%20%2B%200%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%20-%200%20%2B%200)
![y = -\frac{1}{5}x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx)
So, the equation for the following graph is
.