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sesenic [268]
3 years ago
13

A soccer player kicks the ball down the field to a teammate. The height of the soccer ball above the ground, h, in relation to t

he time in seconds, t, is represented by the quadratic function shown in the table.
Time (seconds) Height (feet)
0 0
0.5 12
1 16
1.5 12
Use the table to complete the statements.

The height of the soccer ball above the ground is symmetric about the line t =
second(s).

The ball landed on the ground at t =
second(s).
Mathematics
2 answers:
olga2289 [7]3 years ago
7 0

Answer: for Plato the first t = 1 second

And the second t=2 seconds

Step-by-step explanation:

Just took the test I got 5/5

Yuri [45]3 years ago
3 0

you can see that the height is the same at 0.5sec and 1.5 sec (12ft)

so therefore the height is symmetric about the line t=(midpoint of 0.5 and 1.5)

(0.5+1.5)/2=2/2=1

so the height is symmetric about the line t=1


the ball lands on the ground when height=0

since it is symmetric about t=1, and at t=0, the height is 0

1-0=1, so the difference between symmetry and desired height is 1

we must go in the oposite direction to find the next 0 height

so from symmetry to 0 height is 1+1=2, so at t=2 seconds

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Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).
aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0
3 years ago
A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few
Rzqust [24]

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

7 0
3 years ago
How many times larger is 4 x 1016 than 5 x 108?
arlik [135]
So first you would need to multiply each numbers....
4 x 1016 = 4064
5 x 108 = 540
Then all you would have to do is subtract 4064 from 540.
Your answer is 3524. 
<span>4 x 1016 (4064) is 3,524 times larger than 5 x 108 (540).

PLEASE MARK AS BRAINLIEST!</span>
4 0
3 years ago
Read 2 more answers
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the trian
Yuri [45]
Not sure, but the areas of a triangle is BH/2 so the dimensions should be 8 and 6 then 10.
8 x 6 = 48
48/2 = 24
Maybe that can help with the equation
4 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point 4, -6 and has a slope of -3
zheka24 [161]
Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
- 6 =  - 3(4) + b
Multiply the -3 and 4 to get 12.
-6 =  - 12 + b
Now divide the -12 from both sides.
\frac{ - 6}{ - 12}  =   \frac{ - 12}{ - 12}  + b
-12 cancels out on the right side and your left with
- \frac {1}{2}  = b
Now re-enter the info back into the formula.
y =  - 3x  -  \frac{1}{2}
Then you've got your formula
4 0
3 years ago
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