The correct length of AC is 18
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Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
Answer:
2
Step-by-step explanation:
The slope of the line is 2. The slope is rise over run, or change in y over change in x. So to find the slope count how much each value changes, in this graph y changes +2 and x changes +1. So the slope is 2/1 or just 2. One way to visually check the slope is to remember fraction slopes will make the line flatter and other whole numbers make the line steeper.
To write
1
3
1
3
as a fraction with a common denominator, multiply by
3
3
3
3
.
−
2
9
−
1
3
⋅
3
3
-
2
9
-
1
3
⋅
3
3
Write each expression with a common denominator of
9
9
, by multiplying each by an appropriate factor of
1
1
.
Tap for more steps...
−
2
9
−
1
⋅
3
9
-
2
9
-
1
⋅
3
9
Combine the numerators over the common denominator.
−
2
−
1
⋅
3
9
-
2
-
1
⋅
3
9
Simplify the numerator.
−
5
9
-
5
9
Move the negative in front of the fraction.
-5/9 is the answer
