Answer:
yes
Step-by-step explanation:
The value 8 is the solution to the equation because plugging 8 into the equation in place of the unknown variable x like 16(8) will equal 128.
Answer:
1 ≥ t ≤ 3
Step-by-step explanation:
Given
h(t) = -16t² + 64t + 4
Required
Determine the interval which the bar is at a height greater than or equal to 52ft
This implies that
h(t) ≥ 52
Substitute -16t² + 64t + 4 for h(t)
-16t² + 64t + 4 ≥ 52
Collect like terms
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
Divide through by 16
-t² + 4t - 3 ≥ 0
Multiply through by -1
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
t - 1 ≤ 0 or t - 3 ≤ 0
t ≤ 1 or t ≤ 3
Rewrite as:
1 ≥ t or t ≤ 3
Combine inequality
1 ≥ t ≤ 3
Answer:
c. 7, 24, 25
Step-by-step explanation:
For the formulas ...
we can use the given values of x and y to find the corresponding Pythagorean triple:
a = 4^2 -3^2 = 16 -9 = 7
b = 2·4·3 = 24
c = 4^2 +3^2 = 16 +9 = 25
The generated Pythagorean triple is (7, 24, 25), matching answer C.
Perpendicular means the slopes are opposite inverse of each other
If line a is slope 2, the perpendicular line to Line a would have a slope - 1/2
Difference in y over difference in x gives slope. If they are opposite inverse values the lines are perpendicular. ( in this case the answer is true.)
