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const2013 [10]
3 years ago
14

Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x^2 +8x, where y equals the height of the s

occer ball in feet, and x = the horizontal distance in feet that the ball has traveled from Jamie. How many feet from Jamie does the soccer ball hit the ground?

Mathematics
2 answers:
tankabanditka [31]3 years ago
7 0

The answer is 8 feet.

andrey2020 [161]3 years ago
6 0
We have that
<span>y = -x</span>²<span>+8x

we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0

the solution is
x=0
x=8

the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft

the answer is
8 ft

see the attached figure

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At a baseball game, Carlton buys 2 hotdogs and 1 box of popcorn for $6.75. Manny buys 1 hotdog and 1 box of popcorn for $4.25. h
Ne4ueva [31]

Answer:

1 Hot dog = $2.50; 1 Nacho = $3.00

Step-by-step explanation:

Let  x  be the cost of 1 hotdog

let  y  be the cost of 1 nacho

6 x + 3 y = 24  (Equation 1)

8 x + 1 y = 23  (Equation 2)

Divide equation 1 by 3

2 x + y = 8   (Equation 3)

Subtract Equation 3 from Equation 2

8 x − 2 x +y − y = 23 − 8

Simplifying

6 x = 15

1 Hot dog = $2.50

Substitute the value calculated above into Equation 1

15 + 3 y = 24

3 y = 9

1 Nacho = $3.00

6 0
2 years ago
-11.
dalvyx [7]

Answer:

<em>A(2,3) has a distance of 2 to the y-axis</em>

<em>B(-3,2) has a distance of 3 to the y-axis</em>

<em>C(2,-3) has a distance of 2 to the y-axis</em>

<em>D(-3,-2) has a distance of 3 to the y-axis</em>

Step-by-step explanation:

<u>Distance of a point to an axis</u>

Given a point (x,y) its rectangular coordinates are defined as the distances from the point to each axis with respect to the origin (0,0).

For example, the point (5,4) has a distance of 5 from the y-axis and a distance of 4 from the x-axis.

Generally speaking, point (x,y) has a distance |x| from the y-axis and a distance |y| from the x-axis.

The absolute value bars are used because the distance is always positive.

Apply that to the points:

A(2,3) has a distance of 2 to the y-axis

B(-3,2) has a distance of 3 to the y-axis

C(2,-3) has a distance of 2 to the y-axis

D(-3,-2) has a distance of 3 to the y-axis

8 0
2 years ago
On a map, the length of a nature trail is 7.2 centimeters. If the scale is 1 centimeter to 25 kilometers, what is the actual len
levacccp [35]

Given the scale is 1 cm to 25 km.

We have to find the length of the trail from centimeter to the nearest tenth of kilometer.

Let's take the length of the trail be x km.

The length of the trail given 7.2 cm. We will have to find the length in km.

We have to set it up as a proportion. So we can write the proportion as,

\frac{1}{25} = \frac{7.2}{x}

We have to cross multiply first. We will get,

(1)(x) = (7.2)(25)

x= (7.2)(25)

x = 180

So we have got the required length of the train in kilometer.

The actual length of the trail = 180km.

6 0
3 years ago
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rjkz [21]

Answer:

it would be a

Step-by-step explanation:

5 0
3 years ago
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FIND THE AREA AND PERIMETER PLEASE ​
baherus [9]

Answer:

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Step-by-step explanation:

I will begin with area.  I can find the area of each figure, then add the areas.

3 • 18 = 54

4 • 4 = 16

Area = 70

For perimeter, I will add the given lengths.

3 + 18 + 7 + 4 + 4 + 14

Perimeter = 50

8 0
3 years ago
Read 2 more answers
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