The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A = lw

x=
length =
width=

Answers

Answer 1

Answer:

x=-10,8

length=13

width=5

Step-by-step explanation:

(x+5)(x-3)=65

x^2+2x-15-65=0

x^2+2x-80=0

(x+10)(x-8)=0

x=-10,8

x+5

(-10)+5=-5, negative length does not make sense

x+5

8+5=13

x-3

(-10)-3=-13, negative width does not make sense

x-3

(8)-3=5

Answer 2

Answer:

x=8

length= 13inches

width=5inches

Step by step explanation:

A=lw

65= (x+5)(x-3)

65= x²-3x+5x-15

x²+2x-80=0

x²+ 10x - 8x - 80 = 0

x(x+10) -8(x+10) = 0

(x-8)(x+10)=0

x= 8 or -10

x cannot be negative

hence x= 8

length= x+5

=8+5

=13inches

width= x-3

=8-3

=5inches


Related Questions

choose the number that is less than:3.15 x 10A.1.11 x 10B.9.9 x 10C.36,500D.3.26 x 10

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The Answer is A……… hope this helps

45 + 30 = 100 - w


Answer:



Explanation:

Answers

Answer:

w = 25

Step-by-step explanation:

45+30 = 100 - w75 = 100 - ww = 100 - 75w = 25
In order to work out “w”, you could begin by working backwards, starting with 100, then doing the inverse operation (subtracting 30 then subtracting 45).

100 - 30 = 70 - 45 = 25.

100 - 25 = 45 + 30

w = 25

How to solve this guys..:< Show solution guys pls.. (3/7)(3/7)

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Answer:

[tex] \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } [/tex]

Solve the pair of simultaneous equations
x = 4 - y
x = y + 2

Answers

(3,1)

x=3; y=1

Step-by-step explanation:

Algebraic

Answer:

The solution to this system of linear equations is (3, 1).

Step-by-step explanation:

Here we have two equations for x.  We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y

Then y must be 1.  Substituting this into the first equation, we get x = 4 - 1 = 3.

The solution to this system of linear equations is (3, 1).

Equation of the line that passes through (-6,-5) and (-3,0)

Answers

Answer:

y=(5/3)x + 5

Step-by-step explanation:

Every line is in the form: y = ax+b. If some points are on this line, they satisfy this equation. So we can write:

-5 = a(-6) + b

0 = a(-3) + b

It's a system of equations. We can solve them by subtracting the second equation from the first:

-5-0 = -6a - (-3a) + b - b

That becomes:

-5 = -3a

Therefore:

a = 5/3

Now we plug this value in the second equation of the system, and find the value of b:

0 = 5/3*(-3) +b

b=5

The final line equation will be: y=(5/3)x + 5

Answer:

y = [tex]\frac{5}{3}[/tex]x + 5

Explanation:

First, find the slope. The formula to find slope can be defined as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Given points (-6, -5) and (-3, 0), we can substitute those values in and find that the slope for this line will be [tex]\frac{5}{3}[/tex].

Using slope-intercept form, our equation so far is y = [tex]\frac{5}{3}[/tex]x + b. To find b, we substitute the coordinates of any point and solve. Doing so gets us a value of 5 for b.

Therefore, our final answer is y = [tex]\frac{5}{3}[/tex]x + 5.

Please help me on this question!

Answers

-8 to 8

Step-by-step explanation:

f(x) is the same as y when discussing functions. Therefore we look for the places where the line is above or touching the x axis

I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 10 MINS!

Answers

Answer:

644.972

Step-by-step explanation:

6x100=600

4x10=40

4x1=4

9x(1/10)=0.9

7x(1/100)=0.07

2x(1/1000)=0.002

add all of these values up. hope this helps!

If a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Monday?

Answers

it will have driven 550000 miles


I don’t understand this. Can I plz get some help

Answers

There are 3 right triangles in this picture, and they are all mutually similar.

• the smallest triangle has legs 4 and y, and hypotenuse z

• the middle one has legs y and 16, and hypotenuse x

• the largest one has legs z and x, and hypotenuse 16 + 4 = 20

Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have

4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)

4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)

y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)

We just want to find x, which we can do easily with the last equality,

16/x = x/20

Solve for x :

20 • 16/x = 20 • x/20

320/x = x

x • 320/x = x • x

320 = x²

⇒   x = √320 = √(64 • 5) = 8√5

HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow

Answers

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

20 × f = 20 × 1/7 = 2.857142857... ft

the heights of two cylinders are in the ratio of 5:3 and their volume are in the ratio 20:27. then the ratio of their radius is...... ?

plz its urgent

Answers

Answer:

The ratio of their radius is [tex]2:3[/tex]

Step-by-step explanation:

Volume of cylinder is [tex]\pi r^2h[/tex], where r is radius and h is height

We have

The heights of two cylinders are in the ratio of [tex]5:3[/tex]

[tex]\frac{h_1}{h_2} =\frac{5}{3}[/tex]

The volume are in the ratio [tex]20:27[/tex]

[tex]\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}[/tex]

The ratio of their radius is [tex]2:3[/tex]

Answer:

2 : 3

Step-by-step explanation:

Let,

Radius of cylinder 1 = R

Radius of cylinder 2 = r

Now,

We know that

Volume of cylinder = πr²h

=> πR²h/πr²h' = 20/27

=> R² × 5/r² × 3 = 20/27

=> R²/r² = 20/27 × 3/5

=> R²/r² = 4/9

=> R/r = √(4/9)

=> R/r = 2/3

=> R : r = 2 : 3

1/3(1/6 + 5/12) - 1/36

Answers

Answer:

1/6

Step-by-step explanation:

Apply the distributive property.

1/3 x 1/6 = 2/36

1/3 x 5/12 = 5/36

Add the products.

2/36 + 5/36 = 7/36

Subtract the result by the 1/36.

7/36 - 1/36 = 6/36

Simplify the fraction.

6/36 = 1/6

-hope it helps

What is the perimeter of a rectangle whose length is twice the width? Width = 7 cm.

Answers

Answer:

42 cm is the perimeter

Step-by-step explanation:

Brainleast answer mo nalang

Answer:

P = 42 cm

Step-by-step explanation:

The perimeter (P) is the sum of the 4 sides of the rectangle with opposite sides being congruent.

Given width = 7 cm then length = 2 × 7 = 14

P = 7 + 7 + 14 + 14 = 42 cm

please please look at the picture and see if you can help!!!! i’m struggling so badly!

Answers

Can u take another one it’s blurry

Eight children can fold 5 paper cranes in 6 minutes.


(i) How long will it take 36 children to fold 120 paper cranes?

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given that 3^y=243:find the value of y​

Answers

Answer:

5

Step-by-step explanation:

So lets do this slowley

3x3=9

9x3=27

27x3=81

81x3=243

It took 5 threes or 3x3x3x3x3 to get 243

Answer:

y=81, try that for answer

The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
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Answers

Answer:

6 cups of chocolate chips

Step-by-step explanation:

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When Deema begins her drive, she is 400 mi from home. For the first two hours, she drives on country roads at

an average rate of 25 mph. Then she drives at an average rate of 75 mph until she gets home. Draw a graph to

represent this situation. Show any calculations you need to determine the graph.

Answers

Answer:

Step-by-step explanation:

The coordinates of the graph representing the given situation are listed below

A (0 ,400)

B ( 1 ,350 )

C (2,300)

D(3,250)

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  H(7, 50)

  I (8, 0)

The graph attached shows the nature of the graph.

What is the probability that the reader is a young adult given that their favorite is Asimov or Brooks?​

Answers

Answer:

7/16

Step-by-step explanation:

80 is the given amount which would become the denominator then you get the number of young adults in those sections and add them up to equal 35

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Answers

Answer:

y = -5/6x + 3

Step-by-step explanation:

6 less than the quotient of y and 5.

Answers

Answer:

(y/5)-6

Step-by-step explanation:

quotient is dividing, less than is subtracting

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Answer:

option a is the correct answer

Step-by-step explanation:

bye

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answer

2.5

Step-by-step explanation:

that is what I got so

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Answers

Answer:

27/100

Step-by-step explanation:

make 3/10 into an equivalent fraction with a denominator of 100

therefore, multiply both 3 and 10 by 10 to get:  30/100

57/100 - 30/100 = 27/100

Answer:27/100 Step-by-step explanation:57/100 - 3/10=> 57/100 - 30/100=> 27/100Therefore, 27/100 is your answer.Conclusion:

Hoped this helped

[tex]BrainiacUser1357[/tex]

slope=5, y-intercetp=3

Answers

y=5x+3

Hope this helps

Answer:

y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c

Step-by-step explanation:

Solve the following system of equations using elimination.

5x+y=24
-5x-4y=-56

Solve for y:


Solve for x:

Answers

I believe that this is the right answer

Which equation represents the relationship in the table?
y= 14 - 5
y = 2 + 14
Х
y
y= 14 - 3
0
14
1
9
2
4
y = 14 - 52
3
-1

Answers

D) y=14-5x
Hope this helps!

What is the solution to the following system 3x+3y+6z=9

Answers

Answer:

x=1 y=1 z=1

Step-by-step explanation:

3+3+3=9

and

3x+3y+3z=9

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A number minus 33 is at least -5

Answers

Answer:

28

Step-by-step explanation:

Put in calculator 28-33= -5

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