if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x

Answers

Answer 1

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.


Related Questions

Evaluate m+n for m=5 and n=10

Answers

Answer:

15

Step-by-step explanation:

5 + 10 = 15

pls help me giving brainless.​

Answers

fever thermometer: decimeter

needle: decimeter

interstate highway:kilometer

fingernail: probably a centimeter

river: kilometer

tree trunk: meter

hope this helps.

Investigation of a cake box​

Answers

Answer:

ok

Step-by-step explanation:



What fractions Equivalent to 1/2

Answers

Answer:

2/4 3/6

Step-by-step explanation:

any fraction where the numerator is half of the Denominator

Please Help (no links)

Answers

Answer:

The answer is d

Please help!

First phtoto is the answer options for all questons

Second image is the Questions

Answers

Answer:

M is (-7,3)

N is (0,1)

I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-

What is all the partial products for 3.4 x 1.2

Answers

Answer:

4.09

Step-by-step explanation:

Hope it helps. That is the answer

The partial product of 3.4 x 1.2 is (3 + 0.4) x (1 + 0.2).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3.4 x 1.2

3.4 is equal to 3 + 0.4.

1.2 is equal to 1 + 0.2.

Now,

(3 + 0.4) x (1 + 0.2)

= 3 + 0.6 + 0.4 + 0.08

= 3 + 1 + 0.08

= 4 + 0.08

= 4.08

Thus,

3.4 x 1.2 is equal to (3 + 0.4) x (1 + 0.2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Find an ordered pair (x,y) that is a solution to the equation.
5x+y=6

Answers

Answer:

(0,6) and (1.2 , 0)

Step-by-step explanation:

5x + y = 6

if we take x=0

5(0) + y = 6

y = 6            ; so, one of the solution is (0,6)

if we take y=0

5x + (0) = 6

5x = 6

x = 6/5 = 1.2     ; so, the other solution is (1.2 , 0)

But basically, you can find other solutions of the equation if you do this:

5x + y = 6

5x = (6 - y)

x = (6 - y) / 5    ; so if you use whatever number of y, you will find the rigth solution for x.

and you can do the opposite too:

5x + y = 6

y = 6 -5x       ; with this, you can use whatever number of x, and find the right y.

I hope this helps you!!!

Five friends shared 1 1/2 pounds of fudge equally. How much did each friend get?

Answers

Answer:

each friend gets 0.1 fudge

Step-by-step explanation:

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Answer:

224in³

Step-by-step explanation:

Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.

Volume of rectangular prism= (length)(width)height)

=(14)(4)(10)=560in³

Volume of pyramid=((length)(width)height))/3

=((14)(4)(6))=336in³

560in³-336in³=224in³

giving brainliest!! *easy*

Answers

Answer:

370 square millimeters

Step-by-step explanation:

2x9x5=90

2x10x5=100

2x10x9=180

90+100+180=370 square millimeters

Answer

450mm^3

Step-by-step explanation:

the picture has the workings

A=l×w×h

A=10mm×9mm×5mm

A=450mm^3

The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.

How many boys are in each grade?

There are
boys in Ella’s grade and
boys in Minh’s grade.

Answers

(20:4)x3=15 (Ellas grade)
(20:5)x4=16 (Minhs grade)

What is the surface area?
1 mm
7 mm
3 mm
square millimeters

Answers

Answer:

0.62 cm

Step-by-step explanation:

How many lines of symmetry does this shape appear to have?​

Answers

Answer:

There are 6 lines of symmetry.

Two friends, Chespirito and Quico, are racing down a mountain. Quico is 17.6 miles away from the Finish Line and runs 2.6 miles per hour. Chespirito is 22.8 miles from the Finish Line, but runs 3.9 miles per hour. How many hours will it take Chespirito to catch up with Quico? It will take Chespirito hours to catch up with Quico.

Answers

Answer:

4 hrs

Step-by-step explanation:

22.8-17.6=5.2

so they are 5.2 miles apart.

Let they meet after t hrs.

distance coverd by Quico in t hrs=2.6t

distance covere by Chespirito in t hrs =3.9t

3.9t-2.6 t=5.2

or 1.3 t=5.2

t=5.2/1.3 =4

Angle G and D are COMPLEMENTARY. What is the value of angle D if.... ZG - (2x) and 2D-(2x+6) '.​

Answers

Answer:

Step-by-step explanation:

jenny has $55 in her checking account, he bought 7 equally priced dvds and paid with a check. her new account balance is -$22. how much was each dvd?

Answers

Answer:

Jenny spent $11 on each dvd she bought.

Step-by-step explanation:

First and foremost, add 55 and 22 since her account balance is now at -$22 since that shows she spent even more.

55+22= 77

Next step divide 7 into 77 since that's how many dvds jenny bought.

77÷7= 11

The answer is $11. Jenny spent $11 on each dvd she bought.

Hope this helps

where is point b on the number line?​

Answers

Answer:

i dont know but can you pick me brainiest

Step-by-step explanation:

Johanna flips a coin, and then she spins a spinner with 4 equal sections colored yellow, green, red, and purple.

Answers

Answer:

What's the question though?

look at pic 10 pts will mark brainilest pls

Answers

Answer: it look like you have to do 20*10=200 and 8*4=32 the 4 where I got it from is 10-6=4 so 200+32=232 this is what I think, sorry if it wrong.

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

Complete the sentences to compare the functions.
The range of f1(00) is
The domain of f(x) is
The minimum of f(x) is equal to the

Answers

Give me a second to take a look at it


Find mHK.
pls hurry and answer lol

Answers

It would be mark N? I think

Answer:

mHK= 104

Step-by-step explanation:

X+39=4X

39 = 3x

X=13

13+39=4(13)

52=52

HK=52+52

mHK=104

Tom sells the hot dogs for £3.15 each

Answers

Answer:

Then what???

Step-by-step explanation:

Ok what I don’t get it

8 over 15 as a decimal rounded to the nearest tenth.

Answers

it would be .53 which is rounded to the nearest tenth

Answer:1.9

Step-by-step explanation:

15/8=1.87500

please help. i need this in by today at 12:00

Answers

Answer:

A

Step-by-step explanation:

P( music ) = number of students in music/ total number of students

P (music) = 4 / 14

= 2/7

The answer should be A, hope this helps :)

Find the volume of the cone plsss help

Answers

the volume is 56.52in^3

Answer:

the volume of the cone is about 56.52

Step-by-step explanation:

the formula for the volume of the cone is πr^2(h/3), so if you plug in the numbers, you'll get about 56.52

Solve the system of equations x + 2y = 8 and - 2x - 3y = - 7 by combining the equations.

Answers

Answer:

  X+2Y = 8

-2X-3Y = -7

(X-2X+2Y-3Y)=8-7

-X-Y=1

Ernesto has 34 cups of water. Is this enough water to make 18 batches of green slime for a class
project?

Answers

Answer:

Question is not clear. How many cups of water is required before you can make  1 batch of green slime?

Step-by-step explanation:

help pls
750000 + 4000 x 4%

Answers

750000+4000 x 4% is 750160

Answer:

750160 ez

Step-by-step explanation:

Pls Help! Put a proper answer! And do not put a link or I will report you!
Two times the sum of a number, x, and 9 is at most four times the number. Write and solve an inequality to find the value of the number.

Answers

Answer:

2(x+9)≤4x

Step-by-step explanation:

2x+18≤4x

-18       -18

2x≤4x-18

-4x  -4x

-2x≤18

/-2  /-2

x≥9

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