Answer:
see explanation
Step-by-step explanation:
Since the triangles are right use trigonometric ratios to find x and y
A
sin33° =
= 
Multiply both sides by x
x × sin33° = 2.5 ( divide both sides by sin33° )
x =
≈ 4.590
tan33° =
= 
Multiply both sides by y
y × tan33° = 2.5 ( divide both sides by tan33° )
y =
≈ 3.850
B
cos72° =
= 
Multiply both sides by x
x × cos72° = 6 ( divide both sides by cos72° )
x =
≈ 19.416
tan72° = 
Multiply both sides by 6
6 × tan72° = y, thus
y ≈ 18.466
Answer:
x^2
Step-by-step explanation:
So there's very two obvious ones we can elimination immediately, that's f(x) = x, and f(x) = |x|. The reason for this is because we can just look at the first ordered pair of (-2, 4). If it was f(x) = x, then the ordered pair would be (-2, -2), but it isn't. Very similar reasoning for f(x) = |x|, except for this function each ordered pair should have the same magnitude or absolute value. So the f(-2) should output 2, since it's the absolute value, but of course this isn't the case since it's 4.
So let's look at 2^x

Since the y value is 4 and not 1/4, this is not the parent function
It should be the second option (x^2), and we can double check
(-2)^2 = 4
(-1)^2 = 1
(0)^2 = 0
(1)^2 = 1
(2)^2 = 4
It outputs the same y-values as the table so this is the parent function
D regular polygon means everything is the same, so the square would be the correct answer.
Answer: Red
Step-by-step explanation:
The y intercept is -2 so its either green or red
the slope is positive so its red
Answer:

Step-by-step explanation:
<u>Addition Law for Probability</u>

Given:



Substitute the given values into the formula and solve for P(A ∩ B):




