1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirza4 [7]
3 years ago
15

A camp athletic director wants to arrange kickball games for highschool and middle school students. Because of the age of the ca

mpers, the highschool kickball field is larger than the middle school field. The dimensions of the square base paths are
Highschool= 2x-3 ft
Middle school= x-8 ft

What is the area of the high school field's base path?
What is the area of the middle school field's base path?
What is the difference in size of the two field's base path?
Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

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

You might be interested in
Jay bought 6 bags of maize at shs 2700 each.He sold the bags at shs.3300 each. what was his profit?​
NISA [10]

Answer:

3300-2700= 600 x 6 = 3600

7 0
3 years ago
Find the future value of the annuity due for $200 deposited at the beginning of each quarter for 12 years at 7% compounded quart
dimulka [17.4K]
200*(107%)^x

x is the number of quarters that passed.
each year has 4 quarters, so 12 yaers would have: 12*4 = 48 quarters

200*(107%)^48 = 5146
4 0
3 years ago
How do you simplify −7(2x−11)
DanielleElmas [232]

Answer:

−7(2x−11)

use distributive property

-7(2x)-7(-11)

-14x+77

5 0
3 years ago
Read 2 more answers
U is the midpoint of TV. If TU = 6x and TV = 11x + 8, what is TV?
soldi70 [24.7K]

Answer:

96

Step-by-step explanation:

U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so

mTV = 2 * mTU

11x + 8 = 2 (6x)

11x + 8 = 12x

8 = x

mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96

4 0
2 years ago
The table shows the elevation of four swimmers. Which swimmer dives down the farthest?
jonny [76]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Write an equation of the line passing through (-5,5) and having slope -6. Guve the answer in slope-intercept form.
    11·1 answer
  • Given that the measure of ∠CBE is 135° find the measure of ∠BED. Assume that lines L and M are parallel.
    10·1 answer
  • What is the answer to m+14=18-m?
    11·2 answers
  • The smith family goes to Disney world every 5 years. The Robinson family goes to Disney world every 3 years. If the smiths and R
    10·2 answers
  • Find sin, where the angle is shown<br> Give the exact value, not a decimal approximation
    6·1 answer
  • (THIS IS A TEST I NEED HELP)
    13·2 answers
  • PLEASE HELP ASAP <br> FIND THE MEASUREMENT QP<br> 20 POINTS
    5·1 answer
  • A car was traveling 86 kilometers per hour.
    5·1 answer
  • If DF=61 and EF=18, find DE. ​
    11·1 answer
  • A vector starts at point ( -3, 8) and ends at point (-2, 2) what is the horizontal component of the vector?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!