Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
109.0125 dollars, rounded is 109.01$
Step-by-step explanation:
Answer: A) 60°
The inscribed angle is half the measure of the arc.
10, 20w, 2w, and we are factors of 20w and 40wz
Answer:
12ft
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the <u>bases</u> are the <u>triangles</u>.
The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.