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
Keith_Richards [23]
3 years ago
9

13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an eq

uation to find the dimensions in meters.​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

<em>Expand:</em>

45= W² +4W

<em>-45 on both sides:</em>

W² +4W -45= 0

<em>Factorise:</em>

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

You might be interested in
After the first round on a television game show, the three contestants have -$300, $600, -$400. Which of the three dollar amount
Elanso [62]
-400 dollars as it it the lowest amount of money
4 0
3 years ago
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?
jenyasd209 [6]
The answer is that it goes 4 units down, i hope this helped :D
4 0
3 years ago
Read 2 more answers
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
Grace [21]

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

6 0
3 years ago
What is 8.354 times 11.81?
pashok25 [27]
8.354 times 11.81 is equal to <span>98.66074</span>
6 0
3 years ago
Read 2 more answers
Find an invertible matrix P and a matrix C of the form such that the matrix A has the form A. The eigenvalues of A are and with
Drupady [299]

Answer:

Hello your question is incomplete attached below is the correct question

and the solution

answer: A

Step-by-step explanation:

attached below is a detailed solution of the given problem

There exists P and C such that ( ∵ λ1 ≠ λ21 so A is diagonalizable )

5 0
3 years ago
Other questions:
  • A circle has a circumference of 22 cm. What is the diameter, area, and radius. Round to the nearest tenth.
    15·1 answer
  • Which values from the specified set make up the solution set of the inequality?
    6·1 answer
  • Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack. She travels with 5 horse
    11·2 answers
  • Graph the line passing through the given point and having the given slope. Give the slope intercept form of the equation of the
    11·2 answers
  • If m=-3 and n=2 find the value of mn​
    14·2 answers
  • Jessica is on a the swim team. Each day she swims 8000m. Use the the fact to find how much this is in kilometers
    13·2 answers
  • you are playing a game of scrabble and have 5 a tiles 3e tiles 1 z tile 2 m tiles 3 l tiles, and 1 y tile to choose from, what i
    9·2 answers
  • The percentage of students who attended the talent show for years 2018 to 2013 I shown year | percent of students 2008 | 83% 200
    13·1 answer
  • Convert 20 quarts to gallons. There are 4 quarts in a gallon.
    11·2 answers
  • Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!