The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
Fourth one since x is 2 and the y is 1
Answer:
Step-by-step explanation:
e
Answer:
r = 6cm
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
36 pi = pi r^2
Divide each side by pi
36 pi/pi = pi r^2/ pi
36 = r^2
Take the square root of each side
sqrt(36) = sqrt(r^2)
6 =r
The radius is 6 cm
r = 6cm
216 / 48 = 4.5 hours
return
216 / 54 = 4 hours
total 4.5 + 4 = 8.5 hours
answer
B. 8.5 h
