given f)x) then
- f(x) represents a reflection in the x-axis
f(x + 4 ) represents a shift of 4 units horizontally to the left
f(x) + 12 represents a vertical shift of 12 units down
thus h(x) = f(x + 4 ) - 12
is the graph of f(x), moved 4 units left, 12 units down and reflected in the x- axis
Answer:
D.
Step-by-step explanation:
When you distribute and combine like terms, the result is x^3-27
Answer:
It is irrational because it can not be represented as a fraction of two integers
Step-by-step explanation:
Given
![B_1 = 3.6](https://tex.z-dn.net/?f=B_1%20%3D%203.6)
![B_2 = 12\frac{1}{3}](https://tex.z-dn.net/?f=B_2%20%3D%2012%5Cfrac%7B1%7D%7B3%7D)
![H = \sqrt[3]5](https://tex.z-dn.net/?f=H%20%3D%20%5Csqrt%5B3%5D5)
Required
Why is the area irrational?
First, we need to calculate the area
![Area = \frac{1}{2}(B_1 + B_2) * H](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28B_1%20%2B%20B_2%29%20%2A%20H)
![Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283.6%20%2B%2012%5Cfrac%7B1%7D%7B3%7D%29%20%2A%20%5Csqrt%5B3%5D5)
![Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283.6%20%2B%20%5Cfrac%7B37%7D%7B3%7D%29%20%2A%2017100)
![Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B10.8%2B37%7D%7B3%7D%29%20%2A%201.710)
![Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B47.8%7D%7B3%7D%29%20%2A%201.7100)
![Area = \frac{47.8}{6} * 1.7100](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B47.8%7D%7B6%7D%20%2A%201.7100)
![Area = \frac{47.8* 1.7100}{6}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B47.8%2A%201.7100%7D%7B6%7D)
![Area = \frac{81.738}{6}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B81.738%7D%7B6%7D)
![Area = 13.623](https://tex.z-dn.net/?f=Area%20%3D%2013.623)
<em>It is irrational because it can not be represented as a fraction of two integers</em>
Answer:
A) 150
Step-by-step explanation:
All the angles in a triangle must add up to a total of 180 degrees.
So we can make an equation as given below:
20+10+?=180
30+?=180
?=150
So the missing angle is 150 degrees