Answer:
CD = 27
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sided are equal, that is
=
, substitute values
=
= 3 ( multiply both sides by 9 )
CD = 27
F(x) = 3x² - 1
f(-2) = 3(-2)² - 1
f(-2) = 3(4) - 1
f(-2) = 12 - 1
f(-2) = 11
f(x) = x < 1
f(-2) = -2 < 1
f(x) = x + 2
f(-2) = -2 + 2
f(-2) = 0
f(x) = x > 1
f(-2) = -2 > 1
f(-2) = -2 < 1
Answer:
option a
option d
option e
Step-by-step explanation:
option a

option d

option e

Answer:
z = -1
Step-by-step explanation:
You must first start out by adding 19 to both sides to isolate the variable z, which results in:
2z = -2
Now, you can just divide by two on both sides to get z completely on its own, which gives you:
z = -1
Hope this helped somewhat! :D
Answer:
I(7) = 22.96 W/m²
Step-by-step explanation:
Let intensity of light, be I(d) where d is distance. There must be a proportionality factor K such as
I(d) = K /d²
Now for d = 5 m I(d) = K* 1/d²
then 45 * 25 = K
K = 1125
To find the intensity when the distance from the light bulb is 7 m away
I(7) = K / 49
I(7) = 1125/49 W/m²
I(7) = 22.96 W/m²