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3 years ago

What is the equation of the line in slope intercept form that passes through (-6,-4) and (2,-5)

Mathematics

1 answer:

Trava [24]3 years ago

3 0

Answer:

-6/-5

-4/2

Step-by-step explanation:

I hope is correct

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The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

9. The 10,000 seat stadium is 89% full. How many people are watching the game inside the stadium? with solution pls.

Ksivusya [100]

Answer:1100

Explanation:89% of 10,000 is 8900 subtract 8900 from 10,000 bam you got 1100

your welcome

7 0

3 years ago

Read 2 more answers

Can someone please explain to me how to solve this problem? I have the answer already all I need is to know how to solve the pro

omeli [17]

Answer:

Step-by-step explanation:

you have two supplementary angles,

both added up=180

7y+5y=12y

12y=180y=15

angle DBC=7y=15*7=105

5 0

2 years ago

Read 2 more answers

A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales

Maslowich

Answer:

a.) Probability = 1/5

b.) 10 soda

Step-by-step explanation:

Probability is a game of chance.

The initial chance = 1/12

If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5

Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,

Probability > 1/2

You would have to buy (12 - 2) soda. Which is equal to 10.

6 0

3 years ago

Find the area of a circle with a radius of 70 centimetres

Alla [95]

Answer:

15393.8cm sorry if im wrong

7 0

3 years ago