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
Arisa [49]
2 years ago
10

1) A rectangle has the lengths shown Find the perimeter of the rectangle.

Mathematics
1 answer:
maks197457 [2]2 years ago
3 0

Hi there! :)

\large\boxed{P = 32cm}

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

You might be interested in
This is for extra credit​
ivolga24 [154]

Answer:

\

Step-by-step explanation:

its to blurry what does it say so i can help

5 0
3 years ago
Read 2 more answers
PLEASE HELP. I AM TRULY STUMPED.
maks197457 [2]
So, let's say you have -5, the opposite of that is 5,opposite numbers always have the sum of 0, just are something about money where you have 2 opposite numbers
7 0
3 years ago
sheila mixed 3 oz of blue paint wih 2 oz of yellow paint she decided to create 20 oz of he same mixture how many oz of yello pai
FrozenT [24]
I believe it would be 8oz of yellow
8 0
3 years ago
Read 2 more answers
An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t
ratelena [41]

Answer with Step-by-step explanation:

We are given that height of projectile after t seconds is given by

h(t)=96t-16t^2

a.h(t)=144 ft

144=96t-16t^2

16t^2-96t+144=0

t^2-6t+9=0

t^2-3t-3t+9=0

t(t-3)-3(t-3)=0

(t-3)(t-3)=0

t-3=0

t=3

After 3 s, the height of the project will be 144 feet in the air.

b.h(t)=0

96t-16t^2=0

16t(6-t)=0

16t=0\implies t=0

6-t=0\implies t=6

At t=0, the initial position of projectile

At t=6 s , the projectile will hit the ground.

6 0
3 years ago
The lengths of three sides of a quadrilateral are shown below:
sasho [114]

Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).


(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)


We can now group them.


(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)


Now we simplify


12y² + 9y - 21


Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).


(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)


Simplify, subtract like terms.


4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)


4y³ + 6y² + 7y - 5 is the length of the 4th side.


Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set. For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.

<em>Polynomials are closed under the same operations as integers. </em>

7 0
3 years ago
Other questions:
  • Simplify 4(x+7) - 7x+ 2.<br> A. 11x+9<br> B. 11x+30<br> C. -3x+30<br> D. -3x+9
    12·2 answers
  • Please help ASAP pLEASE
    5·1 answer
  • Type the correct answer in the box. Use numerals instead of words.
    14·1 answer
  • What is the arc of DE ? <br> Please help
    7·2 answers
  • Eddie deposited $1200 into an account that earns 3% interest compounded 2 times per year. How much money will Eddie have in his
    12·1 answer
  • What is the frequency chart for this data set?
    13·1 answer
  • Last year, all purchases of a certain product were made either online or in a store. If 55 percent of the purchases were made on
    9·1 answer
  • Given: -6x &lt; 36. Choose the solution set.
    5·1 answer
  • Help !! Multiply: 2w(w+17)
    7·1 answer
  • Vicky downloaded to apps on her iPhone the first app was $599 and the second Apple was 14. $33 how much did Vicky spend on the a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!