Answer:
B. 4
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
A. 3
B. 4
C.12
Direct variation is given by:
y = kx
Where,
k = constant of variation
(3, 12)
x = 3; y = 12
y = kx
12 = k*3
12 = 3k
k = 12 / 3
k = 4
(9, 36)
x = 9; y = 36
y = kx
36 = k * 9
36 = 9k
k = 36 / 9
= 4
k = 4
Constant of the variation = 4
Answer:
3.491
Step-by-step explanation:
move the decimal over 3 places.
Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that triangle ABC is an isosceles triangle.
From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).
Distance formula:

Using this formula, we get



Now,
Perimeter of triangle ABC = AB + BC + AC


So, perimeter of triangle ABC is
units.
Therefore, the correct option is B.
Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
My best guss would just try to get x by its self