1) Line should be parallel to y = 3x+6, so slope of this line should be =3.
y=mx +b
y=3x +b
Now we have to find b (y-intercept), using the point (-10, 2.5).
2.5 = 3*(-10)+b
b=2.5+30=32.5
y=3x + 32.5
2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.
Now we have to find b (y-intercept), using the point (-16, -11).
y=(1/4)x +b
-11=(1/4)*(-16) + b
-11 = -4 +b
b = -7
y=(1/4)x - 7
Answer:
y = -5x Y8
Step-by-step explanation:
Parallel lines have the same slope.
Your function is
y = 9 − 5x = -5x+ 9
slope = -5
The parallel line
The line must have slope = -5 and include (0, 8), so
8 = -5×(0) + b
8 = 0 + b
b = 8
The equation for the parallel line is
y = -5x + 8
In the diagram below, the red line is the graph of y = 9 -5x.
The parallel blue line is the graph of y = -5x + 8.
Answer:
y = -f(x): reflection over x axis
Step-by-step explanation:
y = -f(x): reflection over x axis
Answer:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.
The area of a polygon is the two-dimensional set of all points surrounded by the sides of the polygon.
If you're looking for an equation, it varies based on the number of sides and the shape of the polygon.
Step-by-step explanation:
Apothem
A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). To find the area of a regular polygon, you use an apothem — a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).