Answer:
5y - 6x = 53
Step-by-step explanation:
Given the segment with endpoints M(−3, 7) and N(9, −3), let us find the slope first
m = y2-y1/x2-x1
m = -3-7/9-(-3)
m = -10/12
m = -5/6
Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:
m = -1/(-5/6)
m = 6/5
To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c
7 = 6/5 (-3)+c
7 = -18/5 + c
c = 7 + 18/5
c = (35+18)/5
c = 53/5
Substitute m = 6/5 and c = 53/5
y = 6/5 x + 53/5
multiply through by 5
5y = 6x + 53
5y - 6x = 53
hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53
Answer: x = 483
21 times 23 is 483
483/21 = 23
Step-by-step explanation:
Answer:
The two numbers are 64 and 8.
Step-by-step explanation:
You meant "quotient" of two numbers, right?
Represent the numbers by x and y.
Then the quotient is x/y = 8, and beyond that we know that x + y = 72.
Solve this for x and y.
If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:
(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.
Since x/y = 8, letting y = 8 results in x = 64.
The two numbers are 64 and 8.
The answer is five 5 hope it helps you out :)
