Answer:
y = 3/2x-5/2
Step-by-step explanation:
We have two points so we can write the equation for the line. (-1,-4) and (3,2)
First we can find the slope by using
m= (y2-y1)/(x2-x1)
m = (2- -4)/(3 - -1)
=(2+4)/(3+1)
= 6/4
= 3/2
Then put the slope into the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 3/2x+b
We will use the point (3,2) and substitute it into the equation to find b
2 = 3/2(3)+b
2 = 9/2 +b
Subtract 9/2 from each side
4/2 -9/2 = 9/2-9/2 +b
-5/2 = b
y = 3/2x-5/2
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
Answer:
x=10/3
Step-by-step explanation:
Vertical angles are congruent and therefore are equal. Just set up an equation where the two angle values are equal to one another and solve with basic algebra.
The exact mangitude of the BC would be
