Answer:
Ox=4
Step-by-step explanation:
expand he equation
x²+8x-48=0
using substitution method (of the options)
4 substituted as X eliminates all an results to zero
16+32-48=0
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B is the right answer for you question
Answer:
10 feet
Step-by-step explanation:
Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.
The length of the ladder represents the hypotenuse side hence using pythagoras theorem
F^2 = 8^2 + 6^2
where F is the length of the ladder in feet
F^2 = 64 + 36
= 100
find the root of both sides
F = 10 feet
The ladder is 10 feet long
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.