Answer:
Step-by-step explanation:
Vertex form: 
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find :
Therefore, the equation of the parabola is:
Answer:
5120
Step-by-step explanation:
....80,160,320.... 2560
You are multiplying by 2 each time.
Answer:
The equation of the second line is;
y = 4x - 27
Step-by-step explanation:
Firstly, we need the slope of the first line
To get the slope, we need the equation in the general form of ;
y = mx + c
where m is the slope of the line
Thus, we have in this case, to divide through by -5
That will give the slope value as -5/20 = -1/4
If two lines are perpendicular, the product of their slopes is -1
The slope of the line we want to calculate, let us call it m
m * -1/4 = -1
-m = -4
m = 4
So we want to write the equation of a line with slope 4 and point (8,5)
We proceed to use the point-slope form
That will be;
y-y1 = m(x-x1)
y-5 = 4(x-8)
y-5 = 4x-32
y = 4x -32 + 5
y = 4x -27
Answer:
Answer is 261
Step-by-step explanation:
-4r+5y-14 r=0 y=55
insert "r" and "y" values into equation
=-4(0)+5(55)-14
evaluate;
-4(0)=0
5(55)=275
so, now the equation would look like this;
=275-14
<h2>=261</h2>
