The Eagles are trying to win in overtime by scoring a field goal. In order for the kicker to successfully make a 54 yard kick the ball needs to reach a maximum height of 24 yards. Find the equation of the parabolic arc of the football, and write the a value in the general equation: y=a(x-h)^2+k = a ( x − h ) 2 + k in the blank below (be sure to write your answer in simplified fraction form, with no spaces).

Answer:

It's the first option.

Step-by-step explanation:

It is turned down so the one half is negative (-1/2)

parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have

-1/2(x-15)^2 + 25. first one.

Hope this helps!

Answer:

-1

Step-by-step explanation:

To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:

"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number

"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x

Put it all together and we have

6x + 1 = 5x

Now we can solve our equation.

First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:

6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1

Next, we will subtract 5x from both sides:

6x - 5x = 5x - 5x - 1, giving us x = -1

-1 is the number

hope this helps

Answer:

x=-1

Step-by-step explanation:

6 x + 1 = 5 x

6 x - 5 x + 1 = 5 x - 5x

x +1 =0

x+1-1=-1

x=-1

Answer:

9 centimeters He said squared And radius...

(づ￣ ³￣)づHave a nice day

Answer: the awnser is 33 3/4

Step-by-step explanation: im literally doing the same test

The area of a parallelogram can be found by finding the product of its height and base. The area of  the resulting figure is 105/4 sq. ft.

A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.

Each side of the square is given 4 1/2 ft,

And the height of each parallelogram 1 1/2 ft.

Now, the area of square is (side)^2 and the area of parallelogram is height × base.

Thus, area of given figure is given as,

Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)

        = 105/4 sq. ft.

Hence, the area of the given figure is 105/4 sq. ft.

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Answer:

Step-by-step explanation:

(n+7)×3

Answer:

Step-by-step explanation:

The sum of n and 7 multiplied by 3:

It is option 1

This is a tricky one but when reading carefully we see there is nothing that adds n to 7 before multiplying by 3, therefore it reads as n plus ( 7 multiplied by 3).

Answer:

10 boys to 5 girls you got to divide

Step-by-step explanation:

you have to put 50 over 25 and simplify them by 5 and you get 10 boys to 5 girls I think.

  Class made up of 50 boys and 25 girls will have boys to girls ratio as 2 : 1

Ratio of the boys to girls in a class can be evaluated by the expression,

Ratio = [tex]\frac{\text{Total number of boys}}{\text{Total number of girls}}[/tex]

Given in the question,

Number of boys = 50

Number of girls = 25

Substitute these numbers in the expression and simplify the fraction,

Raio = [tex]\frac{50}{25}[/tex]

        = [tex]\frac{2}{1}[/tex]

        = 2 : 1

   Therefore, ratio of boys to girls in the class is 2 : 1

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Answer:

The answer is B

Step-by-step explanation

As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.

Answer:

A is the answer because divide 7 divided by 3 a

Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2​

The greatest common factor is c^2

c^2( c+1)

Answer:

Baka renejay to HAHAHHA

Answer:

720

Step-by-step explanation:

10 times 9 times 8 equals 720

720 ways can the team choose one captain and then two assistants.

We need to find how many ways can the team choose one captain and then two assistants.

The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].

Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]

=10×9×8×7!/7!=720

Therefore, one captain and then two assistants can be chosen in 720 ways.

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Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

Answer: 9x+6y ≤10  

Step-by-step explanation:

Let x= number of packs of hot dogs .

y =number of packs of hamburger.

Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)

i.e. Total expenditure =9x+6y  ( in $)

Jerry can spend a maximum of $100 on the food.

So, Total expenditure ≤ $100

i.e. 9x+6y ≤10  [Required inequality]

The inequality that represents this situation:9x+6y ≤10  

Answer:

6.75

Step-by-step explanation:

Multiple: 3 * 3/

5

= 3 · 3/

1 · 5

= 9/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - three multiplied by three fifths = nine fifths.

Multiple: the result of step No. 1 * 2 = 9/

5

* 2 = 9 · 2/

5 · 1

= 18/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nine fifths multiplied by two = eighteen fifths.

Multiple: the result of step No. 2 * 3/

4

= 18/

5

* 3/

4

= 18 · 3/

5 · 4

= 54/

20

= 27 · 2/

10 · 2

= 27/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/

10

.

In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.

Multiple: the result of step No. 3 * 3 = 27/

10

* 3 = 27 · 3/

10 · 1

= 81/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-seven tenths multiplied by three = eighty-one tenths.

Multiple: the result of step No. 4 * 5/

6

= 81/

10

* 5/

6

= 81 · 5/

10 · 6

= 405/

60

= 27 · 15/

4 · 15

= 27/

4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/

4

.

In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.

Answer:

Step-by-step explanation:

multiply all number then add it to 32

Answer:

A

Step-by-step explanation:

The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Length of diagonal of square = √(2) × side

It is known that,

Area of square = Side²

Given, the area is 219 square inches.

Side² = 219

Side = √219 = 14.79 ≈ 15 in.

Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".

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Answer:

6x + 9

Step-by-step explanation:

Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1  5/6

What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6  fruit jucie in  one min

Answer:

It is B

Step-by-step explanation: n is -1.5 and m is 2.5

-1.5 + 2.5 = 2

Answer:

I feel like it is the second one B

Step-by-step explanation:

Because it is the one that makes sense and is true.

Answer:

6

Explanation:

8 x 6 = 48

48 ÷ 6 = 8

Answer:

B

Step-by-step explanation:

x² + y² = 3  creates a circle and circles are not functions because one x-value relates to two y-values instead of one

Violin to Celio.

Violin : Celio

Violin = 6

Celio = 5

6:5

D. 6/5

Answer:

The answer would be option C

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...

Hello!

[tex]\large\boxed{x = 8}[/tex]

The two angles pictured are corresponding angles, so they are congruent.

Therefore:

17x - 4 = 12 + 15x

Isolate for x by subtracting 15x from both sides:

2x - 4 = 12

Add 4 to both sides:

2x = 16

Divide both sides by 2:

x = 8.

Answer:

x=8

Step-by-step explanation:

These angles are what we call corresponding angles. This simply means that they are the same. Therefore, we set 17x-4 equal to 12+15x. To isolate x, add 4 to both sides, and subtract 15x from both sides. 2x=16. x=8. To check, both angles = 132 degrees.

I gotta take a big śhit

Answer: 74.2857143 milliliters

Step-by-step explanation:

65cm3 + 9.28571429 milliliters = 74.2857143 milliliters