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
Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
3x + 5y = 136
Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40 (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
-----------------------------------------
5x + 5y = 200
3x + 5y = 136
------------------ -
2x = 64
x = 64/2
x = 32
The value of x is 32. She sold 32 tickets worth $3
Answer:
3c + 2x + 11
Step-by-step explanation:
Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.
<h3>What is the Distance Formula?</h3>
Distance formula is given as:
.
Name the coordinates of the plot of and as follows:
A (0, 120)
B (140, 100)
C (140, 20)
D (0, 0)
Perimeter of the plot of land = AB + BC + CD + AD
AD = |120 - 0| = 120 ft
BC = |100 - 20| = 80 ft
Use the distance formula to find AB and CD:
AB = √[(140−0)² + (100−120)²]
AB = √20000
AB = 141.4 ft
CD = √[(140−0)² + (20−0)²]
CD= √20000
CD = 141.4 ft
Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.
Learn more about the distance formula on:
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Answer:
The slope is 0.
Step-by-step explanation:
The slope of any horizontal line is zero.