Answer:
The midpoint of PR is;
(a + b, c)
Step-by-step explanation:
Here, we want to get the coordinates of the midpoint of PR
To get these, we make use of the midpoint formula
Mathematically, that will be;
(x,y) = (x1+y1)/2, (x2+y2)/2
(x1,y1) = (0,0)
(x2,y2) = (2a+2b, 2c)
The midpoint is thus;
(2a+2b)/2 , 2c/2
= (a + b, c )
Hello!
A) y-intercept is 5 x-intercept is 5
B) Slope=1
C) y=mx+b
=1(4)+ 6
Hope this Helps! Have A Wonderful Day! :)
First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
Solve for <em>b</em> :
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
209 - 146 = 13 <em>b</em> - 4<em> b</em>
63 = 9 <em>b</em>
<em>b</em> = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
