A-b=21
5a-2b=18
We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)
a = 21+b
Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29
Plug back into the first: a=21+b
a = 21 - 29
a = -8
Option D
The correct option is B which is the value of PG is 3 units.
Given
The scale factor of the dilation of segment HG is 1/6.
If PG' equals 0.5 units,
<h3>What is the scale factor?</h3>
The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
The scale factor of the dilation of segment HG is 1/6.
By the rule of scale factor;
![\rm \dfrac{PG'}{PG}= SF = \dfrac{1}{6}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7BPG%27%7D%7BPG%7D%3D%20SF%20%3D%20%5Cdfrac%7B1%7D%7B6%7D)
Where SF represents the scale factor.
Solving for PG, we get:
![\rm \dfrac{PG'}{PG}=\dfrac{1}{6} \\\\ \dfrac{0.5}{PG} = \dfrac{1}{6}\\\\ 0.5 \times 6= 1\times PG\\\\ PG = 3](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7BPG%27%7D%7BPG%7D%3D%5Cdfrac%7B1%7D%7B6%7D%20%20%20%5C%5C%5C%5C%20%5Cdfrac%7B0.5%7D%7BPG%7D%20%3D%20%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%200.5%20%5Ctimes%206%3D%201%5Ctimes%20PG%5C%5C%5C%5C%20PG%20%3D%203)
Hence, the value of PG is 3 units.
To know more about the Scale factor click the link given below.
brainly.com/question/16806865
I believe the answer to this is -1/2
The first ones b.........
Answer:
f(2) = 10
Step-by-step explanation:
Simply just plug in 2 into the equation
f(2) = 3(2)² - 2
f(2) = 3(4) - 2
f(2) = 12 - 2
f(2) = 10
And we have our final answer!