The polar coordinate system and the rectangular coordinate system are
both designed to label points in the plane. They differ in the ways
they represent points in the plane.
i don't really know, but it looks like b and d
Answer:
The equation is ;
4x - y = 13
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from what we are given, let us write the second equation in the general form
x + 4y = 10
4y = -x + 20
y = -1/4x + 20/4
y = -1/4x + 5
mathematically, when two lines are perpendicular, the product of their slope is -1
So for the second line with slope m2
m2 * -1/4 = -1
m2 = 4
So, using the general form, we have the equation as;
y = 4x + b
To get the value of b, we substitute the coordinates of the given point (3,-1)
-1 = 4(3) + b
-1 = 12 + b
b = -1-12
b = -13
So the equation is;
y = 4x - 13 which can be rewritten as;
4x-y = 13
Answer:
The expression are equivalent
Step-by-step explanation:
The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :
Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;
4(2h + 2) - 7h - 8.5
8h + 8 - 7h - 8.5
8h - 7h + 8 - 8.5
h - 0.5
-0.5(1 - 2h)
-0.5 + h
= h - 0.5
Hence, both expressions are the same
