Answer: 2
Step-by-step explanation:
By the geometric mean theorem,

Given:
The graph of a line segment.
The line segment AB translated by the following rule:

To find:
The coordinates of the end points of the line segment A'B'.
Solution:
From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).
We have,

Using this rule, we get


Similarly,


Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).
we know that
Imaginary roots will come in pairs, and so the degree must be even.
therefore
the answer is
options


Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is
;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 =
x (-1) + c
c = 2 +
=
The equation of the new line is;
y =
x +
or multiply through by 5;
5y = x + 11
Answer:43
Step-by-step explanation: