Answer:

Step-by-step explanation:
we know that
The equation of the circle in center radius form is equal to

where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have

substitute


Here is your answer
Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.
Answer:
1). y = -4/7x 2). y = 7/4x - 65/4
Step-by-step explanation:
1). When a line is parallel, the slope remains the same.
y = -4/7x + b
-4 = -4/7(7) + b
-4 = -4 + b
0 = b
The equation is simply y = -4/7x.
2). When a line is perpendicular, the slope becomes the exact opposite.
y = 7/4x + b
-4 = 7/4(7) + b
-4 = 49/4 + b
-65/4 = b
The equation is y = 7/4x - 65/4.
Answer:
m=4
Step-by-step explanation:
Using the slope formula: y2 - y1 / x2 - x1
m = 4 - (-4) / 5 - 3
m = 8 / 2
m = 4
Answer:

Step-by-step explanation:
The mid point can be found with the formula

The given coordinates are
and
.
Replacing coordinates in the formula, we have

Therefore, the mid point of the segment PQ is 