The perimeter of a rectangle is the same as the
perimeter of a square. If the area of this rectangle
is x^2 + 4x – 21 and the side lengths are integers,
find:
a. the perimeter of the rectangle
b. the area of the square

Answers

Answer 1

Answer:

a. 20

b. 25

Step-by-step explanation:

Let find the side lengths of the rectangle,

We can complete the square.

[tex] {x}^{2} + 4x - 21[/tex]

[tex] {x}^{2} + 4x = 21[/tex]

[tex] {x}^{2} + 4x + 4 = 25[/tex]

[tex](x + 2) {}^{2} = 25[/tex]

[tex](x + 2) = 5[/tex]

[tex]x = - 7[/tex]

or

[tex](x + 7)[/tex]

[tex]x = 3[/tex]

or

[tex](x - 3)[/tex]

This means the perimeter of is

2 times -7 equal 14

2 times 3 equal 6

14+6=20.

The side lengths of the square is equal so each side length will measure 5.

[tex] {5}^{2} = 25[/tex]


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Step-by-step explanation:

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Answer:

Order the numbers from least to greatest.

75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130

Minimum is 75

Q1 is 91.5

The median is 103.

Q3 is 116.5

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Now, look at the answer choices.

B has the incorrect median

D has incorrect Q1.

A has incorrect Q3.

C is the answer.


Shawn wants to make a beaded necklace 16- inches long.
If each bead is in, wide, how many beads does he need?

Answers

Answer:

I think it would be 98

Step-by-step explanation:

Just either add or divide.

WILL MARK BRAINIEST PLSSS HELP

Answers

Answer:

integer, real

Step-by-step explanation:

the answer would be integer, real

Answer:

Integer, whole

Step-by-step explanation:

What value of x makes the equation true?​

Answers

Answer:

B.2.5

Step-by-step explanation:

The equation would be

[tex]-4x +8 = 2x -7[/tex]

I believe that you would know how to solve this.

You could also sub in 2.5 for the x to check.

Good Luck!!!!!

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Answers

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

The m<3 = (2x + 10) and m<6 = (3x-15) find the value of x, m<3 and M<6

Answers

Answer:

x=25

m∠3=60

m∠60=60

Step-by-step explanation:

angle3= angle6

2x+10=3x-15

x=25

m∠3=2(25)+10=60=m∠6

Please answer.

No links, no fake answers please

Answers

Answer:

29.88953

Step-by-step explanation:

x = 20*sin(90)/sin(42) = 29.88953

hii please help i’ll give brainliest

Answers

Answer:

0.5 or 1/2

Step-by-step explanation

I dont know if they want the answer in fraction form.

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Answers

Answer:

$2 is the answer ok no problem

Help me pleaseeeeeee! Ratios and Rates! Worth 20 points help I need the answers in 45 minutes!

Please get 3,4,5,6,7and 8 done I need help!! Thank you no links for websites are aloud thank you

Answers

Answer:

3) 7:8  7 to 8   4) 40/100 = 2/5   5) 60 mph   6) 300 kph   7) Jane  8) Jon can go faster

Step-by-step explanation:

5) 120/2 =60

6) 900/3 =300

7) Tim =50/5= $10 an hour

Jane= 24/2 =$12 an hour

Answer:

look at explanation, oh and pls give brainlist

Step-by-step explanation:

3.   7:8  [tex]\7\frac{7}{8}[/tex] ,7 to 8

4.  [tex]\frac{100 l}{40 w}[/tex], [tex]\frac{25}{10}[/tex], [tex]\frac{50}{20}[/tex]

5.  [tex]\frac{2 hrs}{120 m}[/tex], unit rate= 60 miles per hour, [tex]\sqrt[2]{120}[/tex]=60

6.  [tex]\sqrt[3]{900}[/tex]= 300, 300x3=900, unite rate= 300km per hour

7.  [tex]\frac{50}{5}[/tex]=[tex]\frac{10\\}{1}[/tex], unit rate for Tim= $10 for 1 hour, [tex]\frac{24}{2}[/tex]=[tex]\frac{12}{1}[/tex], unit rate for Jane= $12 for 1 hour, Jane has the higher rate of pay.

8. [tex]\frac{65}{4}[/tex]=[tex]\frac{16.25}{1}[/tex] , [tex]\sqrt[4]{65}[/tex]= 16.25, unit rate for Jon is 16.25ths of a pushup per minute.

[tex]\frac{45}{3}[/tex]=[tex]\frac{15}{1}[/tex], [tex]\sqrt[3]{45}[/tex]=15, unit rate for Paul is 15 pushups per minute.

Jon can do more pushups in 1 minute

please determine if the relationship is linear, exponential, or quadratic. justify your answer.

Answers

Answer:

This function is a quadratic.

Explanation:

If you sketch a graph, you will see the points form a U, representing a quadratic function.

a rectangular box is 9in wide, 11in tall, and 20in long. what is the diameter of the smallest circular opening through which the box will fit? if necessary, round to the nearest tenth of a centimeter. (this uses the pythagorean theorem)

Answers

Answer: 6

Step-by-step explanation:

6

I need help with this please help

Answers

Answer:

Step-by-step explanation:

Hope fhat hep,ed skdnfsu. Soidhf scodfiysldm vij fhu idnvcmdlc

5) Crystal wants to consolidate her bills into 1 smaller monthly payment. She has a total of
$23,000 worth of debt. If she consolidates with a personal loan, she can choose between a 5
year or 8 year loan at 6.75% APR. How much more interest will she pay if she chooses 8
years instead of the 5 year loan?​

Answers

Answer:

The amount more in interest she will pay if she choose 8 years instead of 5 years loan is approximately $2,665.92

Step-by-step explanation:

The total worth of debt Crystal has. P = $23,000

The options on the number of years for which the loans for consolidation are available, t = 5 and 8 years

n = 12 × t = The number of monthly payment = 12×5 = 60 or 12 × 8 = 96

The annual percentage rate of the loans, r = 6.75% = 0.0675

The monthly payments, 'M', Crystal pays is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right )\cdot \left ( 1 + \dfrac{r}{12} \right)^{n} }{\left ( 1 + \dfrac{r}{12} \right)^{n} - 1}[/tex]

When n = 60, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{60} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{60} - 1} \approx 452.72[/tex]

The total amount payed, A = M × n

∴ The total amount payed when n = 60 is, A₅ = 452.72 × 60 = 27163.2

A₅ ≈ $ 27,163.2

The interest on the loan, I₅ = A₅ - P

∴ I₅ = $27,163.2 - $23,000 = $4,163.2

When n = 80, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{96} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{96} - 1} \approx 310.72[/tex]

∴ The total amount payed when n = 80 is, A₈ = 310.72 × 96 = 29,829.12

A₈ = $ 29,829.12

The interest on the loan, I₈ = A₈ - P

∴ The interest on the loan, I₈ = 29,829.12 - 23,000 = 6,829.12

The interest Crystal pays when takes the loan for 8 years, I₈ = $6,829.12

Therefore, the amount more interest she will pay if she choose 8 years instead of 5 years loan, ΔI = I₈ - I₅

ΔI = $6,829.12 - $4,163.2 = $2,665.92

The amount more interest she pays if she choose 8 years instead of 5 years loan, ΔI = $2,665.92.

Marking brainliest(:

Answers

Answer:

B

Step-by-step explanation:

more 8th graders than 6th graders will be at the dance because 80%>60

The answer is B because none of the other make sense.

Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form



Answers

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

A man places a 20 foot ladder against a 16 foot What is the measure of the angle formed by the ladder and the ground?

Answers

Answer:

is there any more context?

Step-by-step explanation:

Answer:

53.130°

Step-by-step explanation:

tan(x)=16/12

x is used in replacement of theta symbol

simplify the equation -x^3 + 5x + 7x^2 +8x^3 - (-x^3 +x)​

Answers

Answer:

8x³ + 6x² + 5x

Step-by-step explanation:

Let's simplify step-by-step.

−x^3 + 5x + 7x^2 + 8x^3 − ( −x^3 + x )

Distribute the Negative Sign:

= −x^3 + 5x + 7x^2 + 8x^3 + −1 ( −x^3 + x )

= −x^3 + 5x + 7x^2 + 8x^3 + −1 ( −x^3 ) + −1x

= −x^3 + 5x + 7x^2 + 8x^3 + x^3 + −x

Combine Like Terms:

= −x^3 + 5x + 7x^2 + 8x^3 + x^3 + −x

= ( −x^3 + 8x^3 + x^3 ) + ( 7x^2 ) + ( 5x + −x )

= 8x^3 + 7x^2 + 4x

Answer:

= 8x^3 + 7x^2 + 4x

an item costs 4 dollars before tax and 4.32 after sales tax what is the sales tax rate

Answers

Answer:

The tax would be 8%

Step-by-step explanation:

4 + 8% = 4.32

Why is the pope an important figure in Christianity?

He is part of the Trinity.
He writes the scriptures.
He chooses the apostles.
He is the leader of Catholicism.

Answers

First off, this question does not belong under the math category.

The answer to your question is D. He is the leader of Catholicism.

Hope This Helps.

Can i get brainliest?

Answer: D

Step-by-step explanation:

did on edge 2021

Josha had 20 dollors to spend on three gifts he spent 11 7/10 on gift a and 4 2/5 dollores on gift b how muck money did he have for gift c

Answers

Answer:

3 dollars 90 cents

Step-by-step explanation:

20 - 11.70 = 8.30

8.30 - 4.40 = 3.90

IM GIVING BRAINLIEST!!!PLEASE HELP!!!I JUST KNOW ITS NOT A!!!

Answers

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

Find area of parallelogram plz

Answers

Answer:

Option A

Step-by-step explanation:

the area of the parallelogram is 22.05

(HELP 10 POINTS ) Find (x+3)(x2−2x−8). Write your answer in standard form.

Answers

Answer:

[tex]x^{3}+x^{2} -14x-24[/tex]

Which equation justifies why 10 1/3 = 3 square root 10?

Answers

Answer:For this case we must find the justification of:

By definition of properties of powers and roots we have to meet:

So, if we have:

Other property states that:

So, the expression: "Ten to the one third power all raised to the third power" is represented as:

Step-by-step explanation: b

Answer:

B

Step-by-step explanation:

Solve 3^5x-1 ≤ 30. Round to the nearest ten-thousandth.

A.
{x | x ≤ 0.4000}
B.
{x | x ≤ 1.8000}
C.
{x | x ≤ 3.0959}
D.
{x | x ≤ 0.8192}

Answers

Answer:

Step-by-step explanation: NO SCAM AT ALL 100% LEGIT PLEASE LOOK AT THE PHOTO I PUT.

What is an equation of the line that passes through the points (--8, 0) and (8, 4)?

Answers

Answer:

equation of a line =(y2-y1)/(x2-x1)=(4-0)/(8--8)=4/16=1/2 is your answer.

Every morning, Matthew fills his dog’s water dish with 16 oz of water. If his dog
finishes his water every day, how many ounces will his dog drink in a week?

Answers

112 ounces per week
The answer is 112 ounces per week

Simplify the expression 5(a-2)

Answers

Answer:

5a-10

Step-by-step explanation:

5(a-2)

5a+5×-2

5a-10

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