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
UNO [17]
3 years ago
8

The length of a rectangle is 3 times the width.If the length is decreased by 4 m and the width is increased by 1 m , the perimet

er will be 66 m.Find the dimensions of the original rectangle
Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

Length = 27 metres

Width = 9 metres

Step-by-step explanation:

Consider the width to be x.

Then the length will be 3x.

The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.

So the dimensions will become:

Length=3x-4

Width=x+1

Now solve for the variable x using the formula for perimeter of a rectangle:

P = 2(l+b)

66 = 2(3x-4+x+1)     (Divide both sides by 2 and simplify the parentheses)

33 = 4x-3      (Add 3 to both sides)

36 = 4x        (Divide both sides by 4)

x = 9

Now plug-in the value of x into the original dimensions which were:

Length=3x

Width=x

So the dimensions are:

Length = 27 metres

Width = 9 metres

You might be interested in
7. The total cost to rent a truck is $100 and $0.20 per km.
eduard

Answer:

. The total cost to rent a truck is $100 and $0.20 per km. a. Determine an algebraic model for the relationship between total cost and distance driven. Use Cto represent total cost ($) to rent the truck and d to represent distance driven (km). C=$100+$0.20d b. Create a graphical model. You may use the Linear Graphing Tool or Desmos to create your graphical model. Take a screenshot of your graph and paste it here.

Thank you

4 0
2 years ago
Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.
jonny [76]

Answer:

The answer to your question is      (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

                     x²  +  14x  +  y²  - 10y   =  14

Complete perfect trinomial squares

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

                     x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

                     (x + 7)² + (y - 5)² = 88   This is the equation in the form

                     center-radius

7 0
3 years ago
OI 00<br>R<br>b) From the given figure:<br>write the alternate<br>angle of angle RUN<br>P<br>$<br>2​
Ainat [17]

Answer:

alternate angle to angle RUN is angle POU

Step-by-step explanation:

Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.

Now, we want to find the alternate angle to angle RUN.

The same transverse line cuts the other horizontal line PQ at point O.

Therefore the alternate angle to angle RUN is angle POU

7 0
3 years ago
#1 Find the slope given the points (3,-20) and (5,8) *
Artyom0805 [142]

Hey there :)

To find the slope with <em>two points</em> we will need to use the equation  \frac{y^2-y^1}{x^2-x^1}

x^1    x^2       y^1  y^2

( 3 , -20 )  ( 5 , 8 )

Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :

                                     \frac{8 - (-20)}{5 - 3}

We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.

Solve the fraction and we get   \frac{28}{2}

28 <em>divided</em> by 2 is 14. The slope is 14.

6 0
3 years ago
What is the range of h?
Bas_tet [7]

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

3 0
3 years ago
Other questions:
  • I need help asap i need to answer it in 3 min plzzzzzz help
    13·2 answers
  • What should be added to -7/20 to get -2/5​
    5·1 answer
  • Write and solve a word problem that can be modeled by difference -4-10
    13·1 answer
  • Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the pr
    14·2 answers
  • Find the sum and express it in simplest form (8a^2 + 6a + 5) + (-3a^2 - 2a)
    12·2 answers
  • Help cant use calcultor??? 437 + 356 = ?
    10·2 answers
  • Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (10, -5).
    13·1 answer
  • At a garage sale, Petra priced her scooter for $15.50. She ended up selling it for $10.75. Find the percent of decrease in the p
    11·2 answers
  • In triangle ABC, the measure of angle B is 34° more than three times the measure of angle A. The measure of angle C is 56° more
    7·1 answer
  • Olivia is making scarves. Each scarf will have 7 rectangles, and 6 7 of the rectangles will be purple. How many purple rectangle
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!