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PilotLPTM [1.2K]
1 year ago
12

What is the length of segment ac? on a coordinate plane, line a c has points (3, negative 1) and (negative 5, 5).

Mathematics
1 answer:
lys-0071 [83]1 year ago
6 0

The distance between point AC with point at (3, -1) and (-5, 5) is 10 units

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The distance between point AC with point at (3, -1) and (-5, 5) is:

AC=\sqrt{(5-(-1))^2+(-5-3)^2} =10\ units

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
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Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

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Differentiating equation (1) with respect to t,

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Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

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t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0
2 years ago
2 7/8 plus 3 2/8 plus 1 1/8
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Answer:

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