A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.

Answers

Answer 1

Using the vertex form, the equation of the parabola is given by:

[tex]y = a(x - 4)^2 + 10[/tex]

The equation of a parabola, with vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, it reaches a maximum height of 10 feet after a  horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:

[tex]y = a(x - 4)^2 + 10[/tex]

A similar problem is given at https://brainly.com/question/15165354


Related Questions

plz help ty<3

6cd^2+ 5cd + 3c^2 d^3

Answers

I think its 52 I'm not sure please dont get angry If I got it wrong

A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red.

Answers

Answer:

first one is yellow

Step-by-step explanation:


There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?

Answers

50 x .14 = 7 students absent
50 - 7 = 43 students present

43 is the number of students were present in that class on Monday

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

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factorize 21xy - 14xz - 28wx

Answers

Answer:

7x(3y - 2z - 4w)

Step-by-step explanation:

21xy - 14xz - 28wx ← factor out 7x from each term

= 7x(3y - 2z - 4w)

Answer:

7 x . (3y - 2z - 4w

Step-by-step explanation:

Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.

Answers

Answer:

   (6)

Step-by-step explanation:

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB = 5y-10 and CD = 2y+8) are equal.  In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>  

3y = 18 =>

y = 6

What is the volume of a sphere with a radius of 4.4 cm, rounded to the nearest tenth
a
of a cubic centimeter?
O 223.8
0 294.4
O. 299.1
O 356.8

Answers

Answer:

V = 356.8 cubic centimeter

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

[tex]\pi V = \frac{4}{3} \pi (4.4)^{3}[/tex]

[tex]V = \frac{4}{3}\pi (85.184)[/tex]

V = 356.8179048

V = 356.8

Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,

Answers

2(x +2 )

This is the number

Which of these is not an improper fraction? A 5/5 B 40/30 ​​ C 934/85 D 3/7

PLEASE HELP !!!!!

Answers

The answer is D hope it helps

Answer:

D and I think it is correct since it has a fraction whose numerator is less than the denominator good luck hope you pass

Write using a fractional exponent.

Answers

Answer:

a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator

therefore the denominator will be three and numerator will be one

x²×⅓= x⅔

The distance your friend travels in y (miles) running x hours is represented by the equation y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image

b. 1 = 7.5x
x = 0.133333…

This is in hours, so we must multiply by 60 to get minutes

x = 8 minutes

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?

Answers

Answer:

2.28%

Step-by-step explanation:

Given:

μ = 80σ = 12x = 104

Find z-score:

z = (x - μ)/σz = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

100 - 97.72 = 2.28

P=√5+vt make v the subject

Answers

Answer:

p = √5 + vt

p - √5 = vt

p - 2.24 = vt

p - 2.24/t = t

Write the equation of the line described below in point-slope form.

Answers

Answer:

y-1=2(x-3)

Step-by-step explanation:

Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).

[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]

Which Game Is The Best And Why?

A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man

Answers

B) obviously it’s the most played game then all of the others this year

Answer:

Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun

Step-by-step explanation:

What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration




30.7 N


7.14 N




178.5 N




0.14 N

Answers

Answer:

178.5 N

Step-by-step explanation:

force = mass *  acceleration

f = 35.7 * 5

f = 178.5

178.5 Newtons

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

w>-20

Step-by-step explanation:

If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?

Answers

Answer:

463,488,000,000

Step-by-step explanation:

8.8% = .088

426,000,000,000 * .088 = 37,488,000,000

426,000,000,000 + 37,488,000,000 = 463,488,000,000

Simplify the following expression.

5/6 x 3/5

Answers

Answer:

1/2

Step-by-step explanation:

5/6 • 3/5

15/30 = 1/2

Answer:

1/2

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5 × 3/ 6 × 5 = 15/30

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using

GCF(15,30) = 15

15 ÷ 15/30 ÷ 15 = 1/2

Therefore:

5/6 × 3/5 = 1/2

straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown​

Answers

Answer:

take any value of x and substitute such as x is 0

y will be plus 6 so (0,6)

y is 0 so x will be minus 6 so (-6,0)

Step-by-step explanation:

take any value of x and y and substitute

Mark as brainliest!!!

g
Pat a
mber
4. In a hockey league, 87 players play on seven
different teams. Each team has at least 12
players. What is the maximum number of players
on any one team?

Answers

Answer:

15

Step-by-step explanation:

since there is 7 teams and 12 can be the minimum we can do 7 x 12=84

this means that 3 people could possibly be on one single team.

the maximum number is 12+3=15

which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100

Answers

3/5 and 60% are both equivalent to 0.6

At a picnic, 12 people shared 4 large sandwiche
equally. How much of a sandwich did each
person get to eat?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

each person ate 1/3 of a sandwich

Step-by-step explanation:

How to find derivative of a curved graph.

Answers

Visually, derivative of a function f at x=a represents the slope of the curve at the point x=a . Derivative As Slope: The slope of tangent line shown represents the value of the derivative of the curved function at the point x . Sometimes f has a derivative at most, but not all, points of its domain.

Put these in least to greatest
1/3,-3,3,0

Answers

Answer:

-3 , 0 , 1/3 , 3

Step-by-step explanation:

1/3= 0.3333

-3,0,1/3,3 hope this helps

The number of employees for a certain company has been decreasing each year by ​4%. If the company currently has 710 employees and this rate​ continues, find the number of employees in 11 years.

Answers

Answer:

Answer is A

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

27

Step-by-step explanation:

Shreyas went to the fair and played a game with three spinners. He spins each spinner once and wins a prize if he gets 2 blues and 1 red.

Answers

Using the principle of probability, the likelihood that Shreya wins by getting 2 blues and 1 red is 0.416

Creating an area model for the first two spinners :

___ G _ B _ B _ R _R _R

R_RG_RB_RB_RR_RR_RR

R_RG_RB_RB_RR_RR_RR

B_BG_BB_BB_BR_BR_BR

B_BG_BB_BB_BR_BR_BR

B_BG_BB_BB_BR_BR_BR

B_BG_BB_BB_BR_BR_BR

G_GG_GB_GB_GR_GR_GR

G_GG_GB_GB_GR_GR_GR

Creating an area model or tree diagram for the third spinner would result in a sample space of (48 × 12) = 576 combinations.

However, the probability that Shreya would win can be obtained thus :

To win he needs to pick get 2 blues and 1 red in any order :

3! = 3 × 2 × 1 = 6 ways

P(BBR) = 1/3 × 4/8 × 5/12 = 0.0694444

P(winning) = 6 × 0.0694444 = 0.416

Therefore, the probability that Shreya wins is 0.416.

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A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?

Answers

The new container holds 60 fluid ounces of soap

From 11 friends to 12 friends find the percent

Answers

Answer:

109.090909%

Step-by-step explanation:

Answer:

9.09091%

Step-by-step explanation:

From 11 friends to 12 friends find the percent

from 11 friends to 12 friends. The number of friends is increased by 1.

To get the percentage of increase:

(12 - 11) / 11 = 1 / 11 = * 100% =

The increase of 1 friend is equivalent to 9.09091% increase

11 is the basis. It is the 100%

 1 is the increase. It is the 9.09091%

12 is the total number of friends.

100 POINTS IF U GET THIS RIGHT!

Answers

[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]

Answer:

Slope: 3/2

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -3x/2 - 3/8

=> Now, let's compare:

=> y = mx + b = y = -3x/2 - 3/8

We can tell that slope = m, which is 3/2.

Hoped this helped.

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