Answer:
m=7/9
Step-by-step explanation:
-5(-5m+5)=-2m-4
25m-25=-2m-4
25m+2m=-4+25
27m=21
÷ 27 ÷ 27 (divide both sides)
m=7/9 or .777 (infinite)
The average rate of change is 0.19
Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238