Answer:
To get the function <em>g</em>, shift <em>f </em>down by 8 units.
Step-by-step explanation:
The constant - 8 at the end of function g(x) suggests the parent function f(x) was translated 8 units down.
Answer:
-5.02
Step-by-step explanation:
the result becomes negative because 7.273 is less than 12.37
Answer:
16 cm
Step-by-step explanation:
Given : The area of triangle ABC is 24 square centimeters.
To Find: If B = 30° and a = 6 cm, what is the measure of side c?
Solution:
Formula : 
a = 6
Area = 24
B = 30°
Substitute the values in the formula





Hence the measure of side c is 16 cm
So, Option c is correct.
Answer:
The diver will hit the water at 1.5 seconds
Step-by-step explanation:
Given

Required (Missing from the question)
When will the diver hit the water?
To do this, we simply solve for t
When the diver hits the water, the height is 0 (at that point)
So, substitute 0 for h in 

Divide both sides by -16




Split
or 
Solve for t
or 
But time (t) can not be negative.
So:

Hence, the diver will hit the water at 1.5 seconds
Answer:
a. 4y =12x the constant of variation is 3
Step-by-step explanation:
The equation for direct variation is y=kx
a. 4y =12x
Divide each side by 4
4y/4 = 12x/4
y = 3x
This is direct variation and the constant is 3
Equations b ,c, d all have a constant added which make them something other than a direct variation