Answer:
<em>3 seconds</em>
Step-by-step explanation:
Given the height modelled by the function
h(t) = -16t² + 16t + 96
The hit the water at h(t) = 0
0 = -16t² + 16t + 96
Divide through b y -16
0 = t² - t - 6
t² - t - 6 = 0
t² - 3t+2t - 6 = 0
t(t-3)+2(t-3) = 0
t+ 2 = 0 and t - 3 = 0
t = -2 secs and t = 3secs
Since t can't be negative, hence;
t = 3 secs
<em>hence it will take 3 seconds until Devon hit the water</em>
The complete question in the attached figure
we have that
<span>m∠4=68°
we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°
m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°
m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°
m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°
the answers arem∠1=68°m∠2=112m∠3=112°m∠5=68°
Answer: b) slope: -1, y-intercept 12
Step-by-step explanation:
The equation here is in slope-intercept form (y=mx+b)
In slope-intercept form m is the slope and b is the y-intercept
m=-1 and b=12 so the answer is b
Answer:

Step-by-step explanation:
The first step is to multiply the numbers of the numerator. Thus:


Writing the answer above as the product of a whole number and unit fraction (that is, mixed number), 5 goes in 8 1 time remainder 3. Therefore:

Answer:
<u>Squaring a number.</u>
Step-by-step explanation:
The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.