Answer:
I believe the answer is 45
Step-by-step explanation:
First do the parentheses: 12-2=10
Then do the exponent: 3^2=3*3=9
Next multiply 9 by 10: 9*10=90
Lastly divide 90 by 2: 90/2=45
Using the quadratic formula we get
Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds
Answer:
height AB is 8 cm
Step-by-step explanation:
AB= √AC^2- BC^2
= √(10)^2- (6)^2
= √100-36
= √64
= 8
Simplify the radical by breaking the radicand up into a product of known factors.
Exact Form:
11
√
6
Decimal Form:
26.94438717
Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!
