Mathematics High School

The camp athletic director wants to arrange kickball games for high school students and middle school students. Because of the ages of the campers, the high school kickball field is larger than the middle school field. The length of the square base path of the high school field is represented by the expression 2x−3 and the length of the middle school base path is represented by the expression x−8.

What is the area of the middle school field if its side measures x−8 feet?

What is the area of the high school field if its side measures 2x−3 feet?

Answers

Answer 1

Answer:

Step-by-step explanation:

The area of the high school field’s base path is (4x^2 -12x + 9) ft^2

The area of the middle school field’s base path is ( x^2 -16x + 64) ft^2

The difference in size between the two is

(3x^2 +4x - 55) ft^2

Step-by-step explanation:

Firstly, we are to calculate the area of the high school field’s base path

Mathematically, the area of a square is L^2

where L is the length of the side of the square. The area of the high school field base path is thus;

(2x-3) * (2x-3) = 2x(2x-3) -3(2x-3) = 4x^2 -6x -6x + 9 = (4x^2 -12x + 9) ft^2

The area of the middle school field’s base path can be calculated in a similar fashion

That would be (x-8) * (x-8) = x(x-8)-8(x-8) = x^2 -8x -8x + 64 =( x^2 -16x + 64) ft^2

The difference in size between this two will be;

(4x^2 -12x + 9) - ( x^2 -16x + 64) = 4x^2-x^2-12x+16x+9-64 = (3x^2 +4x - 55) ft^2

Related Questions

write an equation given a slope of 1/2 that goes through the ordered pair (2,4)

Answers

Answer:

y= 1/2x +3

Step-by-step explanation:

x/20=2/8
x=__
pls explain the steps

Answers

Answer:

Today: Thursday, 15 October 2020

Hour: 04.09 WIB (in Indonesian)

____________________________

x/20 = 2/8

20 × 2 = 8 × x

40 = 8x

x = 40/8

x = 5

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?

Answers

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]

Therefore, it will take 88.2 months to accumulate the amount.

If 1 gallon of orange juice cost 6.25. How much does it cost for 128 ounces of oj?

Answers

Answer:

$6.25

step-by-step explanation:

a gallon of oj coat 6.25

there are 128 ounces in a gallon

so 6.25 for 128 ounces is just a gallon

so 128=1 gallon. so its just $6.25

please help!!!!!! I will mark brainliest!!!

Answers

Answer:

second dot choice thing

Answer:

The second dot that is the answer.

Step-by-step explanation:

hope this helps.

2x+y=-5 slope intercept form please

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Answer: y= -2x - 5

Step-by-step explanation:

2x + y = - 5 To convert it into slope-intercept form subtract 2x from both sides

-2x -2x

y= -2x - 5

9 - 6(x+1) = 2(x-4) + 27

Answers

Hey :)

1) Use the distributive property to multiply −6 by x + 1

9−6x −6 = 2(x−4) +27

2) Subtract 6 from 9 to get 3

3−6x =2(x−4) +27

3) Use the distributive property to multiply 2 by x−4

3−6x =2x−8 +27

4) Add −8 and 27 to get 19

3−6x = 2x +19

5) Subtract 2x from both sides

3−6x −2x = 19

6) Combine −6x and −2x to get −8x

3−8x = 19

7) Subtract 3 from both sides

−8x= 19−3

8) Subtract 3 from 19 to get 16

−8x = 16

9) Divide both sides by −8

x= 16/-8

10) Divide 16 by −8 to get −2

x=−2

Hope this helps :D

how do i solve equations with fractions in them?

Answers

The side with intermediate length is:
1. OD
2. DE
3 EO

Answers

Answer:

I don't know exactly, I think it is EO, but I could be wrong.

Step-by-step explanation:

The side with intermediate length is OE .

What is the relationship between length of side of triangle and their interior angle ?

Relationship of sides to interior angles in a triangle

In any triangle:

The shortest side is always opposite the smallest interior angleThe longest side is always opposite the largest interior angle

According to the question

Side opposite to smallest ∠20° = OD

Side opposite to largest ∠110° = DE

Side opposite to intermediate ∠50° = OE

Now,

according to the relationship between length of side of triangle and their interior angle

The smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.

Therefore,

OD = smallest side

DE = Largest side

OE = intermediate side

Hence, The side with intermediate length is OE .

To know more about the relationship between length of side of triangle and their interior angle here:

Answer:

[tex]9. 34[/tex]

Step-by-step explanation:

[tex]M to KM \\1m = 0.001 KM\\9340M = 9.34 KM\\\\Hope \\ this \\helps[/tex]

PLEASEEEEE HELP

f(x) = 2x^2+ 6 when f (4)

Answers

Hopefully this is right!

Write the standard form of the equation y-3=-2/3(x+5)

Answers

Answer:

In linear standard form, 10x-15y=29

Step-by-step explanation:

The solution is y = ( -2/3 )x - 1/3

The standard form of the equation y-3=-2/3(x+5) is given by the equation A

where y = ( -2/3 )x - 1/3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Now ,

y - 3 = -2 / 3 ( x + 5 )

Multiply by 3 on both sides of the equation , we get

3y - 9 = -2 ( x + 5 )

On simplifying the equation , we get

3y - 9 = -2x - 10

Adding 9 on both sides of the equation , we get

3y = -2x - 1

Divide by 3 on both sides of the equation , we get

y = ( -2/3 )x - 1/3

The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3

Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

Please help! I'm very behind on work and just don't have the time to catch up without costing the grade of another class. Thank you so much!

Answers

Answer:

5. alternate exterior, p

6. consecutive interior, r

7. consecutive exterior, s

8. alternate interior, q

9. corresponding, s

Step-by-step explanation:

Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes

Answers

Answer:

4.2 miles

Step-by-step explanation:

6/50=.12

.12*35=4.2 miles

Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each received a piece that was the same size. what fraction of the pizza did Jim have

Answers

Answer:

Jim had 1/3 of of the pizza

Step-by-step explanation:

He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6

2/6 simplify if, 1/3.

Jim has 1/3 of the pizza

Have a nice day :)

The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true? (1 point)

It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.

Answers

True:

3rd One

4th One

False: All of the others.

It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.

HELP QUICK ILL GIVE THE BRAINLIEST!

Find three consecutive even integers for which -4 times the sum of the first and third integers is 192. Write and solve an equation.

Answers

Answer:

192x-4= -768

Step-by-step explanation:

PLEASE HELP ITS TIMED
The inside of an oven is set to rise to a temperature of 298F . So far it has risen 76% of this amount.
Which would be the best way to estimate the number of degrees Fahrenheit the inside of the oven has risen so far?
Find 70% of 200.
Find 80% of 300.
Find 80% of 200.
Find 70% of 300.

Answers

Answer:

Find 70% of 300

Step-by-step explanation:

I calculated the different percentages, and 70% of 300 was the one that came closest to 76% of 200.

Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. NEEED HELP PLZ :(

A 15x = 1.39
B 15 + x = 1.39
C 1.39x = 15
D 1.39 + x = 15

Answers

Answer: C. 1.39x=15

Step-by-step explanation:

each song is worth 1.39 dollars

If there are x songs, the total value would be 1.39x

1.39x=15

please help me, ASAP

Answers

Answer:

The answer is A

Step-by-step explanation:

All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.

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