cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.

Answers

Answer 1

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm


Related Questions

Find the area of the semicircle

Answers

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

given g(x)=2(x-4)+7 find 2g(-6)

Answers

Answer:

g(x)=2(x-4)+7

2g(-6)=2[2(-6-4)+7]

=2[2(-10)+7]

=2(-20+7)

=2(-13)

=-26

HELPPPPPPP!!!!!!!!!!!!!!​

Answers

Answer:

the top and bottom ones

Step-by-step explanation:

Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?

Answers

Answer:

his loss is $3.45

Step-by-step explanation:

you just add then subtract

Write the equation that describes the following variation. Don't forget "k"!
x varies directly with the square rootſofy and inversely with the square of w and the
cube root of z

Answers

Answer:

x=(k√x)/(w^2)(cube√z)

x varies directly with square root of y is:

x = k √y

And inversely with the square of w and cube root of s is:

/(w^2)(cube√z)

Now put those together:

x=(k√x)/(w^2)(cube√z)

The formula is:

x=ky/wz but add the specific info like square, roots, or etc

Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y


Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A

Answers

Answer:

Step-by-step explanation:

ITS A

Answer:

The answer is C , Graph A

Step-by-step explanation:

How Roses Got Their Thorns.

Many years ago ,in the land of Lucia, there was a beautiful queen named —————. Queen —————lived in a century old castle surrounded by a forest on the north side,a maze on the east side, a fountain on the west side and a rose garden on the south side. Her private living quarters had a large window facing the south. Each morning she would start her day by opening her window to the sweet aroma coming from her rose garden. She had a special servant whose only job was to care for her roses. Queen ———- rose garden was her favorite place and every day she would spend time there relaxing and caring for her lovely blooms. Her garden was world famous and people came from miles around to visit and enjoy their beauty and lovely fragrance.
One day she notice there were fewer blooms than usual and she became concerned. She thought her servant was not doing his job,so she obtained a new gardener. The blooms continued to disappear and then she noticed that plants were starting to disappear. Finally, she had some of her servants start guarding the roses. They discovered that the visitors were picking and digging up her roses. She loved sharing the beauty of her garden with her subjects but she had to find a way to protect her roses . Several attempts were tried to protect the. She had a fence built,but the people knocked it down. She had a wall built but they climbed over it. She put guards around but the guards could not be everywhere and the people continued to take her roses . Finally, she sought the advice the local wizard . His solution was to put a curse on the roses. Queen———-agreed to a curse as long as it did not affect the aroma or the beauty of them Beginning that day the loveliest of flowers started growing thorns and still do. P

Answers

Answer:

Queen Marie Antoinette

Not sure how to do this one. Could use some help!

Answers

Answer:

0<x<3 and 8<x<9

Step-by-step explanation:

Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).

I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.

Answers

Answer: 3/5 or 0.6

Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot.  If you divide 3 by 5 you get 0.6.

PLEASE HELP. no links.

Answers

Answer:

45 i think

Step-by-step explanation:

Plz need help i cant do it​

Answers

Answer

adding 2

Step-by-step explanation:

Median is 8

I don't know if this is correct but I tried.


Sally has 8 red marbles and 16 green
marbles. She also has red bags and
green bags. She wants to put marbles in
the bags that match their color. Each
bag will have the same number of
marbles. What is the largest number of
marbles she can put into each bag?

Answers

Answer: 8

Step-by-step explanation: It's just GCF.  The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.

In which step did John first make a mistake?
look at photos

Answers

Answer:

John did not make a mistake

Step-by-step explanation:

he did everything correct

he didn’t make a mistake

what is the length of LK?

Answers

Answer:

26 i think

Step-by-step explanation:

if f (x) =5x^{2} what is 3 f (x) ?

Answers

Answer:

15x²

Step-by-step explanation:

Given

f(x) = 5x² , then

3f(x) = 3 × 5x² = 15x²

A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay? Show work to support how you determined your answer.

Answers

Answer:

So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.

Step-by-step explanation:

brainliest?

Which is an equation in point-slope form for the given point and slope? Point: (1.9); Slope: 5

A: y-1=5(x+9)
B: y-9=5(x+1)
C: y-9=5(x-1)
D: y+9=5(x-1)​

Answers

answer is D

from y-y'=m(x-x') ,where m is slope and x' and y' are our points then ;

given are;

m=5, x' =1 and y' =9

By substituting our given

y-9=5(x-1)

Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.

Answers

Answer:

Im not sure

Step-by-step explanation:

GOOD LOOK ON YOUR TEST HE DISCONN-ECTED

Simplify the expression below.

4x+ 3(2x−1) − 4x

Answers

Answer:

=6x−3

Step-by-step explanation:

Let's simplify step-by-step

4x+3(2x−1)−4x

Distribute:

=4x+(3)(2x)+(3)(−1)+−4x

=4x+6x+−3+−4x

Combine Like Terms:

=4x+6x+−3+−4x

=(4x+6x+−4x)+(−3)

=6x+−3

Answer:

6x - 3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

Distribute, multiply every term inside the parenthesis by the term outside of it,

4x + (3)(2x) + (3)(-1) - 4x

Simplify,

4x + 6x - 3 - 4x

Simplify further, combine like terms,

6x - 3

A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.​

Answers

9514 1404 393

Answer:

  boat speed: (7t -95)/(6t² -110t +500)

  stream speed: (37t -345)/(6t² -110t +500)

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...

  25/(b-s) +44/(b+s) = t

  15/(b-s) +22/(b+s) = 5

This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.

Subtracting the first equation from 2 times the second gives ...

  2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)

  5/(b-s) = 10 -t

  5/(10 -t) = b -s

Substituting for b-s in the second equation gives ...

  15/(5/(10-t)) +22/(b+s) = 5

  30 -3t +22/(b+s) = 5

  22/(b+s) = 3t -25

  22/(3t -25) = b+s

Adding the equations for the sum and difference of speeds, we get ...

  (b-s) +(b+s) = 5/(10-t) +22/(3t -25)

  2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))

  b = (7t -95)/(6t² -110t +500)

Subtracting the equations for sum and difference of speeds, we get ...

  (b+s) -(b-s) = 22/(3t -25) -5/(10 -t)

  2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))

 s = (37t -345)/(6t² -110t +500)

__

The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.

The speed of the stream is (37t -345)/(6t² -110t +500) km/h.

__

Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.

Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?

Answers

9514 1404 393

Answer:

Paul: 5Gina: 21

Step-by-step explanation:

In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.

Paul is 5 now, and Gina is 21.

can some give me the anwsers

Answers

Answer:

150 -160

Step-by-step explanation:

I not amazing at this but i do know this is kinda hard. sorry if it is wrong

Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=

Answers

Answer:

Adjacent

x = 14

Step-by-step explanation:

Find the diagram attached

Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.

The sum of angle on a straight line is 180 degrees, hence;

5x + x+ 96 = 180

6x = 180 - 96

6x = 84

x = 84/6

x =14

The value of x s 14

What is the area of the base ? / / / / /

Answers

Answer:

area of base = 20 in²

Step-by-step explanation:

area of base = 2 x 10 = 20 in²

Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]

Answers

______________________

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

Can some please help me on question 2 I am just confused.

Answers

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:

If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?

Answers

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

PLZZZ ANSWER HURRY 25 POINTS

Answers

Answer:

3

Step-by-step explanation:

*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*

Which of these statements best describes a biased sample?



A. The sample is small



B. The sample has results that are incorrect predictions



C. The sample does not accurately represent the population



D. The sample was chosen randomly

Answers

Answer:

C) The sample does not accurately represent the population

Answer:

C

Step-by-step explanation:

If you go to go   o   g  l    e and search up "bias sample examples" it will give you examples! I hope I helped :)

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