Y = 9x^2 + 5
Use the change rule:
dy / dt = [dy / dx] * [dx / dt]
dy / dx = 18x
and dx / dt = constant = 2 cm / s
Then dy / dt = [18 x] * 2 = 2*18x = 36x
<span>(a) x = -1
dy/dt = 36(-1) = - 36 cm/sec
(b) x = 0
dy/dt = 36(0) = 0 cm/sec
(c) x = 3
dy/dt =36(3) = 108 cm/sec</span>
2.5x + 4x = 39
6.5x = 39
x = 39 / 6.5
x = 6
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m
x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24
Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30
Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
To find the area of a rectangle, you times the length and width together.
So in this case,
5/8 x 2/3 = 10/24.
This can be simplified to 5/12
Answer:
6 games
Step-by-step explanation:
Each game is 10.70 x 6 = 64.20+5=no change