Step-by-step explanation:
Given expression;
2x + y = -5;
The given equation must be written in a form where the slope is the negative inverse of the given one.
A line perpendicular to another will have a negative inverse slope.
2x + y = -5
Equation of a straight line is generally written as;
y = mx + c
y and x are the coordinates
m is the slope
c is y - intercept
2x + y = -5
y = -2x -5
The slope of the perpendicular =
So,
the new line;
y =
x -5
Any line with slope of
will be perpendicular
The graphical representation is give in image
Answer:
28 cm
Step-by-step explanation:
Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.
So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

Answer:
50.6 cm
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the smaller triangle side over the larger triangle side.
x 46.2-14 (This is the length of the short side of the triangle)
--------- = -------------
72.6 46.2
Using cross products
46.2 *x = (46.2-14) *72.6
46.2 *x = (32.2) *72.6
46.2 *x = (32.2) *72.6
46.2x =2337.72
Divide each side by 46.2
46.2/46.2 *x = 2337.72/46.2
x = 50.6