Q14
4
x + 9
The area of this shape is 75cm2
Find the perimeter of the shape.
x + 3
2x + 5

Q144x + 9The Area Of This Shape Is 75cm2Find The Perimeter Of The Shape.x + 32x + 5

Answers

Answer 1

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm


Related Questions

completely factor the polynomial: 9x+ay+9y+ax

Answers

Answer:

(x + y)(a + 9)

Step-by-step explanation:

Here, we want to factorize the polynomial

We can do this by taking together like terms

Thus. we have that;

9x + ax + ay + 9y

= x(a + 9) + y(a + 9)

= (x+y)(a+ 9)

Someone help me on this pleaseeeeeeeeeeeeee !

Answers

Answer:

9

Step-by-step explanation:

I think the answer is 9

if a function has a verticale asymptote at a certain x-value, then the function is at the value

Answers

Answer:

We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

Step-by-step explanation:

If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

For example, let the function

[tex]f\left(x\right)\:=\frac{x+3}{x-3}[/tex]

It is clear that the given function becomes undefined at x = 3 in the denominator.

i.e. 3-3 = 0

It means, the function can not have x = 3, otherwise, the function will become undefined.

In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.

Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

If the scale factor is greater than one, the new figure will be:

A.a scale.
B.a reduction.
C.not proportional.
D.an enlargement​

Answers

Answer: D, an enlargement

Step-by-step explanation:

i got the same question

Simplify and explain (x^3+8)/(x+2)

Answers

answer:

x^2 - 2 x + 4

explanation: you want to factor the expression using a^3 + b^3= (a+b) (a^2 - ab+b^2)

then

(x,2) x (x^2 - 2x+4)

_________________

           x+2

then reduce so,

(x+2) x (x^2- 2x +4)

_________________

            x+2

then cross out  repeating which is x+2

then you get your answer!

solve by substitution 6x-4y=18, -x-6y=7

Answers

Answer:

(2,-1.5)

Step-by-step explanation:

6x-4y=18

-x-6y=7

Switch the second equation from standard form to y=mx+b form

-x-6y=7→  -x=7+6y → multiply both sides by -1→ x=-7-6y

Substitute all of the things that equal x into the other equation into x

6x-4y=18→ 6(-7-6y)-4y=18

Simplify

-42-36y-4y=18

Bring - 42 to the other side and add like terms

-42-36y-4y=18→ -40y= 60

Solve for y

y=-1.5

Choose an equation and plug y in it.

-x-6(-1.5)=7

-x+9=7

-x=-2

Multiply both sides by -1

x=2

Can someone help me with this please?

Answers

Answer:

216 Minutes

Step-by-step explanation:

2x=18

x=9

Every mile is 9 minutes, so we can multiply 9 by 26:

234 minutes

But he has already ran for 18 minutes, so we can subtract:

234-18=216

Answer:

216mins  

Step-by-step explanation:

first divide 2/18 by 2 to see the rate and you get 1/9 so he runs 1 mile every 9 mins. You multiply 9 by 26 to get your answer and you get 234 subtract 18 and it will take him 216 more mins

I'm just kidding i need it i will appreciate it (-_-)

Answers

Answer:

D

Step-by-step explanation:

they have like terms

Please help me with this homework

Answers

For the first question, the answer will be 0.008, and then for the second question, your answer will be 68,000.

Billy runs a miles in seven minutes and 30 seconds. For every mile Billy runs, he adds 30 seconds to his mile time. If Billy runs EIGHT miles, how many minutes will it take him?

Answers

Answer I don't know the answer but I just want to say I hope you do well!

Step-by-step explanation:

Answer:

After the last lap it will take him 11 min to complete the lap and over all his time was 1 hour 14 min.

Step-by-step explanation:

Lap 1: 7:30

Lap 2: 8:00

Lap 3: 8:30

Lap 4: 9:00

Lap 5: 9:30

Lap 6: 10:00

Lap 7: 10:30

Lap 8: 11:00

= 74:00 = 1 hour 14 min

PLZ THANK AND 5 STAR AND GIVE BRAINLIEST :)

A larger number is double the sum of 3 and a Shanel num
number. If y represents the larger number and x represents the smaller number, which equations model the situation?
Check all that apply.
HELP ME NOW PLEASE DONT GIVE A FAKE ANSWER PLEASEEEEEEEEEE

Answers

Answer:

y = 22; x = 8

y > x

Step-by-step explanation:

A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.

Let

Smaller Number = x

Larger number = y

larger number is double the sum of 3 and a Smaller number

Sum of 3 and a smaller number = 3 + x

y = 2(3 + x)

y = 6 + 2x (1)

Also

y = 3x - 2 (2)

Equate the equation of the larger number

6 + 2x = 3x - 2

6 + 2 = 3x - 2x

8 = x

x = 8

Substitute x = 8 into (1) to find y

y = 6 + 2x (1)

y = 6 + 2(8)

= 6 + 16

= 22

y = 22

y = 22; x = 8

Therefore,

y > x

Aisha has a smart phone data plan that costs $25 per month that includes 4 GB of
data, but will charge an extra $15 per GB over the included amount. How much
would Aisha have to pay in a month where she used 3 GB over the limit? How much
would Aisha have to pay in a month where she used went over by x GB?

Answers

Answer:

20 dollars

Step-by-step explanation:

Luis worked 40 hours last week and earned a total of $528. His job at Cub pays $9 per hour and
his job at Target pays $15 per hour. Set up a system of equations to determine how many hours
he worked at Cub and how many hours he worked a Target. Then, solve the system.
The number of hours worked at Cub is
The number of hours worked at Target is

Answers

Answer:

Let the number of hours he worked at his weekday job be x and the number of hours he worked at his weekend job be y, then

From (1): 25 + y = 40

y = 40 - 25 = 15.

Therefore, Beneio worked for 25 hours at his weekday job and 15 hours at his weekend job.

Step-by-step explanation:

what are the lengths of LM, MN, QR, and MR?

Answers

LM = 23

MN = 17

QR = 46

MR = 23

The measurements of your shape are not accurate considering a few things so I’m not sure how they expect you to answer correctly on one of them...

A rectangular shaped living room bas dimensions of 32 feet by 18 feet. What is the length of the diagonal? Round your answer to the nearest tenth, if necessary.​

Answers

AWNSER: Diagonal is 36.7 inches

Answer:

D = 36.7 feet

Step-by-step explanation:

Diagonal of a Rectangle

Given a rectangle of width W and length L, its diagonal can be calculated as the hypotenuse of a triangle of legs W and L as follows:

[tex]D=\sqrt{W^2+L^2}[/tex]

The dimensions of the living room are 32 feet by 18 feet, thus the diagonal is:

[tex]D=\sqrt{32^2+18^2}[/tex]

[tex]D=\sqrt{1024+324}=\sqrt{1348}[/tex]

D = 36.7 feet

Please help ASAP, I need to answer this by the end of the day I need really need help!!!

Answers

Answer:

1. I believe some solutions could be x= -7, x= -8, x= -9 etc.

Step-by-step explanation:

2. If the inequality was -3x is greater than or equal to 18 then x and also be equal to x=6.

4. If f(x) = 2x + 4y and g(x) = 2x2 -3x + 6y, find g(x) – f(x)
A. 2x2 – x +10y
B. 2x2 -5x +2y
C. 2x2 +5x +10y
D. 2x-x + 2y

Answers

9514 1404 393

Answer:

  B.  2x^2 -5x +2y

Step-by-step explanation:

Substitute the given expressions and collect terms.

  g(x) -f(x)

  = (2x^2 -3x +6y) -(2x +4y)

  = 2x^2 -3x +6y -2x -4y

  = 2x^2 -5x +2y . . . . . . . . . . matches choice B

I guess it's time to post a real question. The attachment below---

Answers

Answer:

y*y*y*y*y

y^5

Step-by-step explanation:

When you multiply exponents with the same base you're supposed to add them so your answer to the first is y^5 but your teacher is being weird and wants you to write it with no exponents so you can just write it 5 times

so number one is y*y*y*y*y

I answered number two in my explanation above

you add the exponents

y^2+y^3=y^5

if you have any questions let me know

can someone help me please

Answers

Answer:

A., E.

Step-by-step explanation:

0.70 and 0.71 are greater than 0.68 but less than 0.72.

(hope this helps!)

yoooooooooo i need help fast . please

Answers

3^11 is one of them and the other is 3^8•3^3

A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adult tickets sold and let c represent the number of child tickets sold. Which system of equations can be used to determine the numbers of tickets sold?

Answers

Answer:

a + c = 95........eq1

15a + 7c = 1,025....eq2

Step-by-step explanation:

Given:

Total number of ticket sold = 95

Total amount collected = $1,025

Price of each adult ticket = $15

Price of each child ticket = $7

Computation:

Number of adult tickets sold = a

Number of child tickets sold = c

So,

Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold

a + c = 95........eq1

and

15a + 7c = 1,025....eq2

Please help please...

Answers

Answer:

In step one, -8 - 2 should result in -10, not -6.

What is the slope of the line that passes through the following points?
(-1,-2) and (-3,-4)

Answers

Answer:

y = x - 1

Step-by-step explanation:

Find the slope:

(-4 - (-2))/(-3 - (-1))

-2/-2 = 1

y = x + b

Plug in one of the points:

(-1,-2)

-2 = -1 + b

b = -1

y = x - 1

The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

Solve

Answers

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

Please help me with this homework

Answers

Answer:

1) 3.21 by itself if rational, I don't know if the dots mean anything, but if they do, then it is irrational.

2) Pi is an irrational number as it repeats forever.

Each time Cheryl runs, she runs 3miles. She rides her bike only on Saturday’s and always for 10miles. She exercises the same amount each week. She rides and runs for a total of 22 miles in a week.
Write an equation that can be used to find out how many times, X, Cheryl goes running each week.

Answers

Answer: 6

Step-by-step explanation: 22 / 6 = 3.6666666666666666666666666667

Based on the information given, the equation will be 3x + 10y = 22.

How to solve and equation:

Let the number of times she walks be x.

Let the number of times she rides be y.

Since she runs 3miles, therefore, from the information given, the equation will be 3x + 10y = 22.

Learn more about equations on:

https://brainly.com/question/13763238

6. What is the slope of the line that passes through the points: (6,9) and ( 11, 2) * 7 5 A OB han O D​

Answers

Answer:

(11,2)

Step-by-step explanation:

Answer:

y=-1.4x+17.4

Step-by-step explanation:

Function or not?
I will give you brainliest
Pls help, Thank you

Answers

Function:)hope this helped

Please help me please

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

There are several ways you can go about this. The most straight-forward (and time-consuming) is to use a calculator to calculate the value for each cell of the table.

If you realize that the first row will be the base of the exponential, then you can finish filling that easily. The first row is completed by ...

  4^1 = 4, 5^1 = 5.

Each row below that is the immediately preceding row multiplied by the number in the first row. For example, to finish the second column, we have ...

  2^4 = 2·8 = 16

  2^5 = 2·16 = 32

__

When calculations are easily defined and repetitive, I like to use a spreadsheet to do them. It avoids errors, and (to me) is less tedious than repeating the same calculation over and over. The first row of this spreadsheet is sequential numbers, as described above. The remaining cells raise the first row value to the left column power.

A tennis racquet with an original price of $30 is on sale for $21. What is the percent of discount?

Answers

Answer:30%

Step-by-step explanation:

original amount-new amount/original amount

30-21/30

9/30

write as a percent

30% off

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