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
andriy [413]
3 years ago
15

The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio

ns of the outside border of the walkway. The dimensions of the outside border of the walkway are
Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

Area = (x+5) (x+4)

Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).  

dimensions of the outside border of the walkway are (x+11) by (x+10)

You might be interested in
What is 24 x 2 to the power of 10 ?
olganol [36]

Answer:

What is 24 x 2 to the power of 10?

Answer: 24576

7 0
3 years ago
Help pleasssseeee......(do all pls)
Ugo [173]
16. 5x^3 y^-5 • 4xy^3
20x^4y^-2

20x^4 • 1/y^2

=20x^4/y^2

17. -2b^3c • 4b^2c^2
= -8b^5c^3

18. a^3n^7 / an^4 (a^3 minus a = a^2 same as n^7 minus n^4 = n^3)
=a^2n^3

19. -yz^5 / y^2z^3

= -z^2/y

20. -7x^5y^5z^4 / 21x^7y^5z^2 (divide -7 to 21 and minus xyz)

= -z / 3x^2

21. 9a^7b^5x^5 / 18a^5b^9c^3

=a^2c^2 / 2b^4

22. (n^5)^4

n ^5 x 4
=n^20

23. (z^3)^6
z ^3 x 6
=z^18
4 0
3 years ago
Read 2 more answers
Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.
shtirl [24]

Answer:

3y-2x=16+12i

-3x \cdot y=6+48i

x \cdot 2y=-4-32i

x-y=-6-5i

Step-by-step explanation:

Given:

x=-2-3i

y=4+2i

---

1st problem:

3y-2x

3(4+2i)-2(-2-3i)

Distribute:

12+6i+4+6i

Combine like terms:

16+12i

---

2nd problem:

-3x \cdot y

-3(-2-3i) cdot (4+2i)

-3(-2-3i)(4+2i)

Distribute -3 to first factor:

(6+9i)(4+2i)

Use foil to simplify:

24+12i+36i+18i^2

Replace i^2 with -1:

24+48i-18

Combine like terms:

6+48i

---

3rd problem:

x \cdot 2y

(-2-3i) \cdot 2(4+2i)

Distribute 2 to the second factor:

(-2-3i) \cdot (8+4i)

(-2-3i)(8+4i)

Use foil to simplify:

-16-8i-24i-12i^2

Replace i^2 with -1:

-16-32i+12

Combine like terms:

-4-32i

----

4th problem:

(-2-3i)-(4+2i)

Distribute:

-2-3i-4-2i

Combine like terms:

-2-4-3i-2i

Simplify:

-6-5i

6 0
3 years ago
Read 2 more answers
A spinner is divided into blue green and red part.George spin the spinner 300 times. It lands 91 times on blue 107 times on gree
Fed [463]
Estimated probability=number of outcomes in question/divided by total number of trials

ep=102/300

ep=51/150  (34%)
3 0
3 years ago
Evaluate v+t when t=4x-1 and v=2x+1
Rainbow [258]

You would simply add the last two equations together. If v=2x+1 and t=4x-1, you can add them up. This would make 2x+1+4x-1. If you combine like terms, 1 and -1 cancel out and you are left with 6x. This means x can be anything.
6 0
4 years ago
Other questions:
  • Ethan wants to put a fence around his vegetable garden. The garden is 30 feet wide and 15 feet long. If the total cost of the fe
    5·1 answer
  • What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base
    14·1 answer
  • Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. Write a rule to desc
    15·1 answer
  • 5 ( f + 4) = 4 ( f - 6)
    6·2 answers
  • A box measure 4 units by 2.5by 1.5 units what is the greatest number of cubes with a side length of 1/2 unit that can pack insid
    10·1 answer
  • Two turtles come from opposite sides of the road, starting at the same time and moving at the same speed. When they met, they jv
    5·1 answer
  • A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,
    13·1 answer
  • how many lines of symmetry does does this triangle have ?
    9·1 answer
  • HELPPP If _ABD and ZACD are both right angles, CD = 15, and BD = 4x-9, what is the value<br> of x?
    5·1 answer
  • A bus can travel 186 miles in 5 hours. How many miles can the bus travel in 1 hour?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!