<em>When evaluating
then we get that the expression is 11</em>
<h2>
Explanation:</h2>
As I understand the expression is the following:
![a+4](https://tex.z-dn.net/?f=a%2B4)
Let's call, that expression as ![E](https://tex.z-dn.net/?f=E)
So we are asked to find the value of the expression when
. In other words, we need to substitute
, so:
![E(7)=(7)+4 \\ \\ E(7)=11](https://tex.z-dn.net/?f=E%287%29%3D%287%29%2B4%20%5C%5C%20%5C%5C%20E%287%29%3D11)
So <em>when evaluating
then we get that the expression is 11</em>
<h2>
Learn more:</h2>
Distributive property: brainly.com/question/10794694
#LarnWithBrainly
We can use a theorem called Proportional segments in right triangles.
1. How far is library from the park?
<span>
The perpendicular is the mean proportional between the segments of the hypotenuse, so:
</span>
![PL= \sqrt{FL \cdot HL } = \sqrt{8 \cdot 2 } = \sqrt{16}=4 \ miles](https://tex.z-dn.net/?f=PL%3D%20%5Csqrt%7BFL%20%5Ccdot%20HL%20%7D%20%3D%20%5Csqrt%7B8%20%5Ccdot%202%20%7D%20%3D%20%20%5Csqrt%7B16%7D%3D4%20%5C%20miles%20)
2. How far is the park from the football field?
<span>
Each leg of the given triangle is the mean proportional between the hypotenuse and the adjacent segment, so:
</span>
![PF= \sqrt{FH \cdot FL } = \sqrt{(8+2) \cdot 8 } = \sqrt{80}=4 \sqrt{5} \ miles](https://tex.z-dn.net/?f=PF%3D%20%5Csqrt%7BFH%20%5Ccdot%20FL%20%7D%20%3D%20%5Csqrt%7B%288%2B2%29%20%5Ccdot%208%20%7D%20%3D%20%5Csqrt%7B80%7D%3D4%20%5Csqrt%7B5%7D%20%20%5C%20miles%20)
Answer: A.
Answer:
Horizontal shift:
For the parent function f(x) and a constant h, the function given by g(x) = f(x-h) can be sketched by shifting f(x) h units horizontally.
The values of h determines the direction of shifts:
If :
- h>0, the parent graph shifts h units to the right
- h < 0, the parent graph shifts h units to the left.
Vertical shifts:
For the parent function f(x) and a constant k, the function given by g(x) =f(x) +k can be sketched by shifting f(x) k units vertically.
The value of k determines the direction of shifts;
if:
-
k > 0, the parent graph shifts k units upward, and
- k < 0, the parent graph shifts k units downward.
Therefore, the values of h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.
Answer:
2. (X) = -7x +8
3. (V)= -1
5. (g) = -4g+28
6. (M) = 8
Step-by-step explanation:
Answer:
V = pi 36 units^3
V =113.04 units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 2) ^2 *9
V = pi 36
Letting pi = 3.14
V =113.04