A rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? What is the length? What is the width?

Answers

Answer 1
P = 2( l + w)
Length: 2y
Width: y - 4
P= 22 inches
2(2y) + 2(y - 4) = 22
4y + 2y - 8 = 22
4y + 2y = 6y and add (-8) on both sides of the equation to equal: 6y = 30
Divide 6 from both sides of the equation and you get: y = 5
Check:
4(5) + 2(5) - 8 = 22
20 + 10 - 8 = 22
30 - 8 = 22 ✅

Related Questions

What is the slope of the line

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When finding the slope, pick two points on the linear line.

( -1.5, -1)  (0.5, 0)    

-1.5 is x1

-1 is y1

0.5 is x2

0 is y2

Place these numbers in a slop formula.

m = [tex]\frac{0 - (-1)}{0.5 - (-1.5)}[/tex] = [tex]\frac{1}{2}[/tex]

(m means slope)

Slope = [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

What is the y-intercept

Answers

Answer:  -15

Step-by-step explanation:

To find the y intercept we need to find slope first which can be done by taking 2 points and using the slope formula

5 - 10

----------  =   -5/3    

12--9

The slope is -5/3 now we take one point substitute the slope in and find the y intercept

5=-12( -5/3) +b

5= 20+ b

-15 =b

The y-intercept is -15

Line segment JK has endpoints at J(-3,4) and K(3,6). Which is an equation of a line that is perpendicular to line segment JK and passes through the point (3,-12)

Answers

Answer:

y = -3x - 3.

Step-by-step explanation:

Find the slope of the line JK:

Slope = (6-4)/(3- (-3))

= 2 / 6

= 1/3.

Therefore the slope of the line perpendicular to it is - 1 / 1/3

= -3.

Now we use the point-slope form of a line to get the required equation:

y - y1 = m(x - x1)

Here m = -3 and (x1, y1) = (3, -12) so we have

y - (-12) = -3(x - 3)

y + 12 = -3x + 9

y = -3x + 9 - 12

y = -3x - 3 is the answer.

Clara states that r 2 1 5r 1 3r is an equivalent expression to 9r. Why is Clara’s statement incorrect? Choose all that apply. A The expression r 2 1 5r 1 3r simplifies to r 2 1 8, which is not equivalent to 9r. B When you substitute 1 for r in both expressions, r 2 1 5r 1 3r has a value of 10 and 9r has a value of 9. These values are not equal. C The expression r 2 1 5r 1 3r simplifies to 10r, which is not equivalent to 9r. D When you substitute 2 for r in both expressions, r 2 1 5r 1 3r has a value of 20 and 9r has a value of 18. These values are not equal. E When you substitute 4 for r in both expressions, r 2 1 5r 1 3r has a value of 48 and 9r has a value of 36. These values are not equal. F The expression r 2 1 5r 1 3r simplifies to r(r 1 8), which is not equivalent to 9r.

Answers

Answer: A and D

Step-by-step explanation: I got it right

i need help with this problem

Answers

slope = Δy / Δx

11-8
--------
5-4

=

3
----
1

= 3

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

Will give brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

I'm not 100% sure, but i think it's C. :)

Step-by-step explanation:

i think

The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?​

Answers

heads = 1/2

>2 = 2/3

2/3 x 1/2 = 1/3

Answer:

1 / 3

Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?


Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answers

Answer:

Step-by-step explanation:

m=16/4 this one is division

16=  4*m   multiplacation

Would it be a b c or s please answer fast

Answers

Answer:

Step-by-step explanation:

it is your first choice

-4.4+3.6[tex]\geq[/tex]1.6x

-0.5[tex]\geq[/tex]x

Learning task 1

week 7

Answers

Answer:

A to D is a diameter

M is a center

F to M is a radius

E is a tangent lines

H to A is a chord

C to E is an arc

The radius of a circle is 4 centimeters.what is the area

Answers

A= 50.27 cm^2 :) hopefully this is right

HELP PLEASE!! I WILL GIVE BRAINLIEST
Kevin went to the nursery and bought a 5 ft tall tree. After planting the tree, Kevin made a table to record the
height, h, of the tree, t years after it was planted. Verbally describe the relationship between h and t. (make an equation to illustrate the relationship between the height of the tree
and the number of years since it was planted. How tall will the tree be in 8 years?)

Answers

77 feet I according to my calculations :)

WILL MARK BRAINLEST

Answers

Answer:

x=13

Step-by-step explanation:

62+(4x+7)+(6x-5)+41+(3x+6)+(7x-11)=360

62+4x+7+6x-5+41+3x+6+7x-11=360

100+20x=360

20x=360-100

20x=260

x=260/20

x=13

Please help, I have ask it 5 times. Please.

Answers

LM are congruent to HI , GM are congruent to LJ

Answer:

Pair 1: GM and LJ

Pair 2:HI and LM

Step-by-step explanation:

The markings on the line show which lines are congruent to each other. This means that line HI and ML are congruent because they have similar markings. And you could say the same for line JL and MG because it has 2 lines that mark it as congruent to eachother.

So basically your answers are GM and LJ as one pair and HI and LM as another

Given the function f(x) graphed on the coordinate plane 15
below, determine f(3).

F(3)= ?

Answers

Answer:

2

Step-by-step explanation:

answer the quetions please look below

Answers

Answer:

38 in^2 and 26 in^2

Step-by-step explanation:

1. The formula of the area of a trapezoid is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex] where b = base and h = height.

So, [tex]A = \frac{1}{2} (7+12)(4)[/tex] = 38 [tex]in^{2}[/tex]

2. [tex]A = \frac{1}{2}(5+8)(4)[/tex] = 26 [tex]in^{2}[/tex]

No, Betsy is not correct. She likely forgot to multiply by 1/2 when calculating the area. The correct answer is 26 inches squared.

Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
How much money will be in that account at the end of 4 years? Round your answer to the nearest
cent

Answers

Answer:  1034.44 dollars

=====================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.0085/1)^(1*4)

A = 1034.43596172007

A = 1034.44

---------------------

Notes:

P = 1000 is the deposit or principalr = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085n = 1 represents how many times per year we're compounding the money (ie annually)t = 4 = number of yearsThe result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.

0.009 in scientific notation

Answers

Answer:

9 x 10^-3

Step-by-step explanation:

Which of the following is the graph of y = negative StartRoot x EndRoot + 1? On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.

Answers

Answer:

B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.

Step-by-step explanation:

Graph of the function:

y = -√x + 1

The domain is x ≥ 0, the range y ≤ 1

Correct answer choice is B

On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.

The graph is attached

Answer: it’s B

Step-by-step explanation: got it right on edge 2021

write the fraction in ascending order.​

Answers

from most to least:

i: 1/2, 1/3, 1/7, 1/10

ii: 2/3, 2/5, 2/9, 2/11

iii: 5/6, 3/4, 2/3, 1/2

iv: 4/5, 3/4, 5/8, 1/2

Find the slope of the line represented by the table of values.
A)
12
5
B)
D)

Answers

Answer:

B 4456448444424346464646464664646464

how to solve 15x^3/4

Answers

Answer:

            3

Simplify   —

           4

Equation at the end of step

1

:

       3

 15x • —

       4

STEP

2

:

Final result :

 45x

 ———

  4

Step-by-step explanation:

Answer:

Well...without the x I know it is 843.75 but I don't know the fraction of it so sorry! I try my best to help people!

Y=x^4-4x^3.FInd the value of u when x=-1

Answers

This is what I got hope it helps

What is the product of these two binomials?
(x^2 - 5)(2x - 1)

Answers

Step-by-step explanation:

Please refer to the attachment

Joong Ki paid a total of ₱90 for 6 singkamas and 11 ponkans. If a singkamas and a ponkan cost ₱10, how much does each cost? ANSWER: Singkamas is ₱___ while ponkan is ₱___. *

Answers

Step-by-step explanation:

singkamas: 60 pesos

ponkan: 110 pesos

which is bigger or equal 6 gallons or 96 pints

Answers

Answer:

96 pints

Step-by-step explanation:

I need help with this

Answers

9514 1404 393

Answer:

perimeter: 20 unitsarea: 27.5 square units

Step-by-step explanation:

We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...

  P = 5s = 5(4) = 20 . . . units

__

The area is given by the formula ...

  A = (1/2)Pa

where P is the perimeter and a is the apothem--the distance from the center to one side.

The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...

  A = (1/2)(20)(2.75) = 27.5 . . . square units

What is the solution to the system of equations below?
y = two-fifths x minus 3 and x = –10

Answers

Answer:

y = -7

Explanation:

y = 2/5x - 3
x = -10

y = 2/5(-10) - 3

y = -4 - 3

y = -7

Answer:

y = 1

Step-by-step explanation:

Substitute -10 for x so the equation would be y=2/5-10-3

that would then be y=4-3

which would equal 1

In ΔXYZ, x = 24 inches, y = 43 inches and z=47 inches. Find the measure of ∠Y to the nearest 10th of a degree.

Answers

Answer:

29.2

Step-by-step explanation:

arctan=24/43

Answer:

The correct answer is 65.5

Step-by-step explanation:

Just took a test on DeltaMath.

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