x = 50
The angles shown are vertically opposite and thus equal
so 3x - 30 = 2(x + 10)
3x - 30 = 2x +20
subtract 2x from both sides
3x - 2x - 30 = 20
x - 30 = 20
add 30 to both sides
x = 20 + 30 = 50
Answer:
24 cm
Step-by-step explanation:
Perimeter of equilateral triangle = 12 cm
Therefore, measure of one side of equilateral triangle = 12/3 = 4 cm
Perimeter of hexagon = 6 * measure of one side of equilateral triangle
= 6 * 4 = 24 cm
Answer:
f(x) = - 9x² + 9
g(x) = 8x² + 9x
To find (f+g)(x) add g(x) to f(x)
That's
(f+g)(x) = -9x² + 9 + 8x² + 9x
Group like terms
(f+g)(x) = - 9x² + 8x² + 9x + 9
<h3>(f+g)(x) = - x² + 9x + 9</h3>
To find (f + g)(- 1) substitute - 1 into (f+g)(x)
That's
(f + g)(- 1) = -(-1)² + 9(-1) + 9
= - 1 - 9 + 9
<h3>= - 1</h3>
Hope this helps you
Answer:
39 cm
Step-by-step explanation:
Answer:
(f∘g)(−4) = 12
Step-by-step explanation:
Given the functions
f(x)= 3x^2 + 4x - 3
g(x) = -2x-11
Required
(f∘g)(−4)
(f∘g)(x) = f(g(x))
f(g(x)) = f(-2x-11)
f(-2x-11) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(x)) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(-4)) = 3(-2(-4)-11)^2 + 4(-2(-4)-11) -3
f(g(-4)) = 3(8-11)^2 + 4(8-11) - 3
f(g(-4)) = 3(-3)^2 + 4(-3) - 3
f(g(-4)) = 3(9) - 12 - 3
f(g(-4)) = 27 - 15
f(g(-4)) = 12
Hence (f∘g)(−4) = 12
