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?

The Camp Athletic Director Wants To Arrange Kickball Games For High School Students And Middle School

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

QUESTION IS ON A PICTURE ​

Answers

Answer:

-9 is the correct answer of this question.

Thank you ☺️☺️

8x+5x (im stupid ik)

Answers

Answer:

the answer would be 13x

Step-by-step explanation:

Hope this helps! You are not stupid! Hope you learn how to do it. :)

The answer would be 13x

Sam starts his hike at an elevation of 311 feet above sea level. When
he reaches the end of the hike, he is 6371 feet above sea level. What
was the change in elevation from the start of his hike to the end?
label optional

Answers

Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

The answer is 6060 feet

Evaluate the numerical expression:
(-⅓)-(-⅖)=?​

Answers

Answer:

1/15

Step-by-step explanation:

Answer:

1/15

Step-by-step explanation:

Lets simplify, since we need to account for the double negative:

-1/3 + 2/5 = 1/15

Choose the true statement about the graph of x > -3.

closed circle on -3 and all numbers to the right shaded
open circle on -3 and all numbers to the right shaded
open circle on -3 and all numbers to the left shaded

Answers

Answer:

The second one

Step-by-step explanation:

The true statement about the graph of x > -3 is open circle on -3 and all numbers to the right shaded.

What is Number system?

A number system is defined as a system of writing to express numbers.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

The given inequality is x>-3.

The value of x should be greater than -3.

The value -3 is not included.

In a number line the values are increased from left to right.

As x is greater than -3 which means the x values are increasing from left to right.

So the statement open circle on -3 and all numbers to the right shaded is true statement.

Hence,  the true statement about the graph of x > -3 is open circle on -3 and all numbers to the right shaded.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Someone please help me!!!

Answers

i believe that is the answer

2
The units of the floor plan at the right are in feet. Find the
perimeter and area of each room.
a. the kitchen
Kitchen
Bedroom
b. the bedroom
c. the bathroom
20 ft
Main
hallway
d. the closet
Closet
Bathroom
e. What is the area of the main hallway? Explain how
you could find this area using the area of each room
20 ft

Answers

Answer:

Step-by-step explanation:

a). Perimeter of the kitchen = total length of all sides

                                              = 4 + 2 + 2 + 6 + 6 + 12 + 10  (Since side of one smallest square = 2 feet)

                                              = 42 ft

   Area of the kitchen = Area of the composite figure

                                     = 4² + 2² + (6 × 12)

                                     = 16 + 4 + 72

                                     = 92 square feet

b). Perimeter of bedroom = 2(length + width)

                                          = 2(12 + 8)

                                          = 40 feet

    Area of the bedroom = Length × Width

                                         = 12 × 8

                                         = 96 square feet

c). Perimeter of the bathroom = 2(9 + 4) = 26 feet

   Area of the bathroom = 9 × 4 = 36 square feet

d). Perimeter of the closet = 2(6 + 8) = 28 feet

   Area of the closet = 6 × 8 = 48 square feet

e). Area of the hallway = Total area of the floor plan - area of the (kitchen + bathroom + bedroom + closet)

  Area of the floor plan = 20 × 20 = 400 square feet

  Area of the hallway = 400 - (92 + 96 + 36 + 48)

                                    = 400 - 272

                                    = 128 square feet

again my sisters overdue test someone pls just help I’m doing my math and art homework and can’t help her jggvgrcrvgb

Answers

Answer:

She should get $23.6 in change

Step-by-step explanation:

You add the two items she bought which makes up $89.94, then you subtract the discount of $13.50, which leaves you with 76.44 to pay. If you pay with a 100 dollar bill, you subtract 76.44 from 100 in order to find out how much change you recieve.

Answer:

Step-by-step explanation:

100-((39.95+49.99)-13.50)=

100-(89.94-13.50)=

100-76.44=

23.56

You have to add the amount she is paying for the total then subtract that by the discount. Then subtract how much she gave them by the cost to get the change!

What is the solution of the following system

-2x-y=1

-4x-2y=-1

Answers

There are so solutions because they don’t intersect
It has no solution, hope this helps!

Which expressions are equivalent to the given expression?


√252
more than one answer

Answers

15.87 or 15.8 that’s from me finding the square root if that helps any

plzz need help
help a fellow brainly

Answers

Step-by-step explanation:

b= -2A-a

---------------

h

The third option is right

HAVE A GOOD DAY!

Answer:

its the third one

Step-by-step explanation:

Ten is no less then a number q multiplied by 6.

Answers

Answer:

10 > 6q

Step-by-step explanation:

Assuming you are asking what this word problem looks like as an equation, then it would be:

10 > 6q

A trampoline has a jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface?

Answers

Answer:

10.3*9.2

the answer is 94.76

:)

John is 6 feet 3 inches what is his height in centimeters

Answers

Answer:

190.5 centimeters

Step-by-step explanation:

I think it's that. Hope it's right! :)

What is the value of min the figure below? In this diagram, AABD ABCD.
8
m
C
A. 136
B. 572
C. 32
Ο Ο Ο
D. V632
E. 147
o
F. 274
HELP

Answers

Answer: Choice A) sqrt(136)

This is equivalent to 2*sqrt(34)

=======================================================

Explanation:

First let's find BD

The three triangles are similar, allowing for the proportion to be set up

AD/BD = BD/DC

9/x = x/8

9*8 = x*x

x^2 = 72

x = sqrt(72)

BD = sqrt(72)

Now we can use the pythagorean theorem. Focus on triangle BDC.

The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse

(BD)^2 + (DC)^2 = (BC)^2

(sqrt(72))^2 + (8)^2 = m^2

72 + 64 = m^2

136 = m^2

m^2 = 136

m = sqrt(136)

We can simplify this but your teacher has chosen not to. If you want to simplify, then,

m = sqrt(136)

m = sqrt(4*34)

m = sqrt(4)*sqrt(34)

m = 2*sqrt(34)

Triangles ABC and DBC have the following characteristics:



BC is a side of both triangles

∠ACB and ∠DCB are right angles

AC ≅ DC

Which congruence theorem can be used to prove △ABC ≅ △DBC?

AAS
SSS
HL
SAS

Answers

I think it wil be SSS or HL theorem

help me please i am very lost but i am trying

Answers

Answer:

3.

A) is a function because each x goes the one of the ys

B) is not a function due to the x repeating. u can't have that

4.

yes it represents a function cause it passes the vertical line test.

What is the first step you would take solving for k in 4k + 12 = -28

Answers

Answer:

The first step I would take is subtract 12 from both sides.

Step-by-step explanation:

i hope this helps!

Write the word sentence as an equation. Then solve.

10 more than a number c is 3.

Answers

Answer:

10 +c=3

C=3-10

C=-7

.....

Answer:

c = -7

first, make the equation.

10 more than a number c is 3

the variable is c, according to the sentence.

c

"10 more than a number c"

c + 10

"10 more than a number c is 3 "

c + 10 = 3

now that you have your equation, time to solve it.

it's important to know that if you do something to an equation, as long as you do it to both sides the equation is still true.

for example.

2 + 2 = 4

if you add 1 to both sides of the equation,

2 + 2 + 1 = 4 + 1

5 = 5

this is still true.

Solving the equation.

c + 10 = 3

subtract 10 from both sides of the equation.

c + 10 - 10 = 3 - 10

c = 3 - 10

c = -7

Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
А
V = 7(3)h
B
V = *(3h)
CV = +(1.5)h
DV = +(1.5h)

Answers

It’s C. V= +(1.5)h. Hope this helped

Please help me!! I’ll mark you beainliest

Answers

11 months is how long it will take for her to get the right amount

Answer:

11 months

Step-by-step explanation:

50m + 75 >= 600

just solve the inequality like how you would solve an equation, by inverse operations and simplifying

50m + 75 >= 600

        -75       -75

50m >= 525

/50        /50

m>= 10.5

just round up, because 0.5 of a month really isn't an answer

so 11 months

Solve

9x - 19 = 2x - 5

Answers

X=-2
Subtract the 2x from both sides and get 7x-19=-5 and then add 19 to both sides and you get 7x=-14 divide by 7 and x=-2

Answer:

x=2

Step-by-step explanation:

Which of the following rules describes the function graphed below? On a coordinate plane, points are at (1, 5), (2, 4), (3, 3), (4, 2). a. Output = Input c. Output = 5 · Input - 4 b. Output = Input - 4 d. Output = 6 - Input Please select the best answer from the choices provided A B C D

Answers

*see attachment

Answer:

D. Output = 6 - Input

Step-by-step explanation:

The output is the y-value, while the input is the x-value. The coordinates are represented as (x, y), and are graphed in the figure attached below.

Let's consider the function and see which rule best describes the function.

Considering the point (1, 5), the rule, output = 6 - input, applies.

Let's check it out:

Output is 5, input is 1. Substitute 1 as input into the rule, Output = 6 - input, and see if it would give you 5 as output:

Output = 6 - 1

Output = 5

If you try another coordinate pair of the function, the same rule will apply.

Therefore, the best answer is D. Output = 6 - Input

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?
A.
It is the graph of f(x) reflected about the x-axis and shrunk vertically by a factor of 8.
B.
It is the graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.
C.
It is the graph of f(x) reflected about the y-axis and shrunk vertically by a factor of 8.
D.
It is the graph of f(x) reflected about the y-axis and stretched horizontally by a factor of 8.

Answers

Answer:

OTHER GUY IS WRONG!!!

Given that,

Each statement describes a transformation of the graph of f(x) = x.

We have to determine,

Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

According to the question,

Let, The graph f(x) = x,

Where r is the real number which is r >0.

And The graph of g(x) if g(x) = -8f(x),

The value of the r is -8.

The graph which describes the transformation of the given graph in the steps follows all the steps given below.

The function g(x) = 8f(x) reflects stretched the graph of f(x) vertically by a factor of r.

The function g(x) = -8f(x) reflects the graph of f(x) about the x-axis and stretched the graph of f(x) vertically by a factor of r.

The graph of g(x) = f(8x) shrink the graph of f(x) horizontally by a factor of r.

The function g(x) = f(-8x) shrink the graph of f(x) about the y-axis and shrink the graph of f(x) horizontally by a factor of r.

Hence, The graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.

For more details refer to the link given below.

https://brainly.com/question/21981889

[PLEASE ANSWER ASAP, ON TIME LIMIT!] The pH level of a substance can be determined by the formula pH = –log[H+], where [H+] is the hydrogen ion concentration in moles per liter. An alkaline substance has a pH level between 7 and 14. Which ion concentration corresponds to an alkaline substance?
Answer choices in picture.

Answers

Answer:

Option (2)

Step-by-step explanation:

pH level of a substance is determined by the formula,

pH = - log[H+}

where [H+] is the hydrogen ion concentration

Let the [H+] ion concentration = a

a = -log[H+]

log[H+] = -a

[H+] = 1 × [tex]10^{-a}[/tex]

Here 'a' is between 7 and 14.

Which means an alkaline substance must have the concentration between [tex]1\times 10^{-7}[/tex] to  [tex]1\times 10^{-14}[/tex].

From the given options, [tex]5\times 10^{-12}[/tex] moles per liter lies in the given range.

Therefore, Option (2) will be the answer.

Answer:

B

Step-by-step explanation:

Edg2020

simplifying radicals pt.1 please help ASAP and explain if possible

Answers

The answer is c 20√2

Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value of the given term, and explain what it means. Darnell starts saving the same amount from each week′s paycheck. The table shows the total balance f(n) of his savings account over time in weeks. Time (weeks) n 1 2 3 4 Savings account balance ($) f(n) 260 360 460 560 Determine the value of f(11) and tell what it represents in this situation. f(n) = + (n − 1) f(11) = After 11 weeks, Darnell′s savings account will have a total of $ .

Answers

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

[tex]a_{n}=\frac{n}{2}[2a+(n-1)d][/tex]

Compute the value of f (11) as follows:

[tex]f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100][/tex]

        [tex]=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360[/tex]

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

please help me will give brainliest

Answers

Answer:

im pretty sure the answer is c

it is twice as likely for the next spin to land on green as opposed to red.

Explanation:

you can check your answer by multiplying 7(red) twice and you do get 14(green) as your answer.

hope this helped:)

Answer:

C.

Step-by-step explanation:

A is wrong because 5 and 4 are not the same.

B is wrong because there is a higher chance for red to spin than yellow, 7 is more than 5.

C is right because green is double as likely to spin as red, 14 is double of 7

D is wrong because 12 is less than 14

y = -4x – 5
y = -2x + 10 solve using substitution show work please

Answers

Answer:

(- [tex]\frac{15}{2}[/tex], 25 )

Step-by-step explanation:

Given the 2 equations

y = - 4x - 5 → (1)

y = - 2x + 10 → (2)

Substitute y = - 2x + 10 into (1)

- 2x + 10 = - 4x - 5 ( add 4x to both sides )

2x + 10 = - 5 ( subtract 10 from both sides )

2x = - 15 ( divide both sides by 2 )

x = - [tex]\frac{15}{2}[/tex]

Substitute this value into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 2(- [tex]\frac{15}{2}[/tex] ) + 10 = 15 + 10 = 25

Solution is ( - [tex]\frac{15}{2}[/tex], 25 )

When evaluating StartFraction (6.28 times 10 Superscript 12 Baseline) Over (3.14 times 10 Superscript 4 Baseline) EndFraction, what will be the exponent of 10 in the quotient?

Answers

Answer:

16

Step-by-step explanation:

Answer:

C. 8

Step-by-step explanation:

just did the quiz

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