Answer:
r = -29/20 or r = -1.45
Step-by-step explanation:
I believe you are saying that the equation is -2 1/4 = r - 4/5. If so, then I would solve it in this way:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-9/4 (20) = r (20) - 4/5 (20)
-45 = 20r - 16
20r = -29
r = -29/20
r = -1.45
Check:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-2.25 = r - 0.8
-2.25 = -1.45 - 0.8
-2.25 = -2.25
-9/4 = -9/4
Point a is at (-2,4) => (x1,y1)
Midpoint is (2.5, 3.5) => (a,b)
Point B is (x2, y2)
To find midpoint we use formula

a= 2.5, b= 3.5, x1= -2 and y1= 4
Plug in all the values and findout x2, y2

multiply 2 on both sides to remove fraction
(5 = -2+x2 , 7 = 4+ y2)
5 = -2+x2, so x2= 7
7 = 4+ y2, so y2= 3
The point B is ( 7, 3)
Answer:
She completed 7.5 3/8 miles of the race.
Step-by-step explanation:
This can be solved with multiplication.
10 * 3/4 = 7.5
1/2 * 3/4 = 1 * 3/2 * 4 = 3/8
Answer:
Step-by-step explanation:
Answer: U' = (0, 1)
<u>Step-by-step explanation:</u>
U = (3, -5)
rotate 90° counterclockwise means (x, y) = (-y, x)
new U = (5, 3)
down 2 units means subtract 2 from the y-coordinate
newer U = (5, 1)
left 5 units means subtract 5 from the x-coordinate
U' = (0, 1)