Answer:

Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 1, - 3)
d = 
= 
= 
=
≈ 9.06 ( to 2 dec. places )
Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
The answer to this would be B. Why? Because when you plug 33/9 into a calculator you get 3.66666666666 continuous. I hope this helps!
Answer: -3
<u>Step-by-step explanation:</u>
g(0) means .... what is the y-value of g when x = 0
When x = 0, g(x) = -1
f(g(0)) → f(-1) ... what is the y-value of f when x = -1
When x = -1, f(x) = -3