Answer:
y= -4x+4
Step-by-step explanation:
y=mx+b
where x=-1, y=8, and m=-4
8=(-4)(-1)+b
8=4+b
4=b
Thus, y= -4x+4
Answer:
shift it down by 4 units
Step-by-step explanation:
by the placement of the -4 it can be determined that you would shift it according to the y axis
The formula a(x-h)^2 + k = y
h represents change in x, k represents change in y
-k means shift down
Answer:
96
Step-by-step explanation:
Answer:
The rocket hits the ground at a time of 11.59 seconds.
Step-by-step explanation:
The height of the rocket, after x seconds, is given by the following equation:
It hits the ground when , so we have to find x for which , which is a quadratic equation.
Finding the roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
In this question:
So
Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.
Answer:
30 degrees
Step-by-step explanation:
The angles must add up to 180 degrees and the triangles have the same angles.