Answer:
m∡A = 14
m∡B = 76
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees.
So 3x -7 + 11x - 1 = 90, which we can solve.
14x - 8 = 90
14x = 98
x = 98/14 = 7
with the knowledge of x=7, we can find the angles:
m∡A = 3·7 - 7 = 14
m∡B = 11·7 - 1 = 76
Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
Answer:
This number line show the inequality x > 2