Answer:
y = -0.25x + 2.25
Step-by-step explanation:
First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.
Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.
So far, you have the equation y = -1/4x + b and you have to find b.
You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b
Solving,
3 = 3/4 + b
b = 2 and 1/4
Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25
Answer:
126.5
Step-by-step explanation:
To find the solution for KMC use the following geometry theorems:
- Vertical angles are congruent so their measures are equal.
- Supplementary angles form a straight line have when added together equal 180.
HMC and RMK are vertical angles because they are across a vertex from each other. They are congruent and have equal measures. So M can be solved for by:
5m+15=7m+1
5m+15-1=7m+1-1
5m+14=7m
5m-5m+15=7m-5m
15=2m
7.5=m
Now substitute m=7.5 into one of the angles, either HMC or RMK.
7(7.5)+1 = 52.5+1 = 53.5
Notice, RMK and KMC are supplementary because they form a straight line together. This means 53.5 + KMC = 180.
So KMC = 126.5
Answer:
10
Step-by-step explanation :
10x2+10
=10(2x+1)