Answer: 0.01803155522
Step-by-step explanation:
The answer is 3.9 x 10^-5
9x² - 49
(3x)² - (7)²
= (3x + 7)(3x - 7)
This type of factoring is called Difference of Two Squares
where x² - y² = (x + y)(x - y)
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft
Answer:
6 square cm
Step-by-step explanation:
b = 4 cm, H = 3 cm
AREA OF THE TRIANGLE
