Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
The answer is A. Because if you subtract 3 from 23 it will be 20 and 20 divided by 2 is 10
56:60 would be your answer
The values of x are 1 and - 1
<h3>What is the intersect method?</h3>
The intersect method would use the graphs of both equations to find points where they would cross each other. In this instance, the graphs would cross each other at two points
Let's solve the equation:
Rearrange all nonzero terms to the left side of the equation:
x² - 3 + x² - 1 = 0
Combine like terms:
2x² - 2 = 0
Reduce the greatest common factor on both sides of the equation:
x² - 1 = 0
Factor the expression using :
a² - b² = ( a + b) ( a- b) : ( x - 1) ( x + 1) =0
Apply Zero Product Property:
x + 1 = 0 or x -1 = 0
Rearrange unknown terms to the left side of the equation:
x = - 1
Rearrange unknown terms to the left side of the equation:
x = 1
Thus, the values of x are 1 and - 1
Learn more about intersect method here:
brainly.com/question/5146978
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Answer:
4/7
Step-by-step explanation:
If the slope of line d is -7/4, then the slope of a perpendicular is 4/7.
Given a slope, to find the slope of a perpendicular, flip the fraction and change the sign.
Flip -7/4 to get -4/7. Then change the sign of -4/7 to get 4/7.
Answer: 4/7
