144t-16t^2= 16t(9-t)
after 3 seconds (just substitute t=3):
16(3)(9-3)=
16(3)(6)=
16*18=
288
maximum height: find the average of the roots:
the roots of 16t(9-t) are t=0 or t=9
since it's a parabola, the maximum is at t=4.5, at 324 ft
if its height is 224 feet, the equation is 224=144t-16t^2
16t^2-144t+224=0
divide by 16: t^2-9t+14=0
this can be factored as (t-2)(t-7)=0
the roots are t=2 and t=7, so the ball has been in the air for either 2 seconds or 7 seconds
the roots to 144t-16t^2 are 0 and 9, so the ball will hit the ground 9 seconds after being thrown
Answer:
864 in²
Step-by-step explanation:
Use the pythagorean theorem to find the missing side.
36²+x²=60² (x is the missing length of the side)
1296 + x² = 3600
x² = 2304
x = 48
Then use the area of a triangle formula: base·height/2
Substituting 36 for the height and 48 for the base, we get:
48·36/2, which is <u>864</u>.
The number of stone pavers needed to go round the patio is 3.
<h3>What is the number of
stone pavers needed to go round the
patio?</h3>
The first step is to determine the perimeter of the concrete patio.
Perimeter : 12 + 12 + 14 = 38 feet
Number of stone pavers needed to go round the patio : perimeter of the patio / length of each stone paver
38 / 14 = 3
To learn more about the perimeter of a rectangle, please check: brainly.com/question/3205029
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Yes y is a function of x.
Rewrite the function using algebra to get this:
y = -x + 2
That forms an equation of a line whose slope is -2 and whose y-intercept is 2
