Answer:
a)

b) l=19.2 units
Step-by-step explanation:
a)Let F represent the force and l represents the length of the wrench handle.
Then inverse variation relation is:

When we introduce the variation constant, we get:

From the question when F=96, l=12


The equation is

b) If a person can only exert 60 pounds of force on a wrench,then



Hence the length of the wrench must be 19.2 units
Answer:
In a pair of similar triangles, the corresponding sides are proportional.
Step-by-step explanation:
Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
Answer: Choice A
This is a 45-45-90 triangle so the hypotenuse is sqrt(2) times longer than the leg
hypotenuse = leg*sqrt(2)
hypotenuse = 12*sqrt(2)
Answer:
T,F,T,F,T
Step-by-step explanation:
1. It crosses it there becuase 4(0)-15=-15 for y
2: both top and middle answers are -23, so continuous
3: it increases over that period because the exponent keeps getting bigger
4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing
5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.
Answer:
vertex = (- 3, - 8 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = - 4(x + 3)² - 8 ← is in vertex form
with (h, k) = (- 3, - 8 ) ← vertex