The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if x=12?

Answers

Answer 1

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = [tex] {x}^{2} + 3x - 6x - 18[/tex]

Lets factorise the polynomial

[tex] = > x(x + 3) - 6(x + 3)[/tex]

[tex] = > (x + 3)(x - 6)[/tex]

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = [tex]x + 3 = 12 + 3 = 15[/tex]

Width = [tex]x - 6 = 12 - 6 = 6[/tex]

Area = Length × Width = 15 × 6 = 90


Related Questions

What is the slope of the line whose equation is y=3/5x-4

Answers

Slope-intercept form:

y = mx + b

Your equation in slope-intercept form (which you already have :)):

y = 3/5x - 4

So your slope is m = 3/5

Do you need help finding the y-intercept or x-intercept? I hope this helps and answers your question! Have a lovely day!

PLZ HELP ME. 3 questions be my angel.

Answers

53% for the first oneeee

Answer:

82

Step-by-step explanation:

eat good

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

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What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11

Answers

Answer:

21 because I serch it up I believe

Alex says, if I split a shape into four parts,I have split it into quarters

Answers

The four parts need to be equal, only then the shape will be said to have splitted in quarters.

1.) Given : S is the midpoint of RT; PR = PT

Prove : PRS = PTS


2.) Given : E is the midpoint of AB and CD

Prove: AEC=BED

Answers

Answer: 1.

Given: S is the midpoint of RT

PR=PT

To Prove: PRS=PTS

Step-by-step explanation:

If PR=PT in a triangle PRT, then the triangle is isosceles triangle.

Therefore,  ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)

In ▲PRS and ▲PTS

PR=PT

∠PRT=∠PTR

PS=PS (PS is common)

therefore, ▲PRS≅▲PTS

Therefore, ∠PRS=∠PTS

Hence proved.

Answer: 2.

Given: E is the midpoint of AB and CD.

To Prove: AEC=BED

Step-by-step explanation:

If AB and CD are the diagonals of rectangle, then

diagonals AB=CD,  sides AC=BD and AD=BC

In ▲AEC and ▲BED,

∠AEC=∠BED(vertically opposite angles)

AE=BE

AC=BD

therefore, ▲AEC≅▲BED

Therefore,  ∠AEC=∠BED

Hence Proved.

The proofing of each part should be explained below.

Prove:

a.

In the case when

PR=PT in a triangle PRT,

So the triangle is an isosceles triangle.

Therefore,  ∠PRT=∠PTR

Now

In ΔPRS and ΔPTS

PR=PT

So,

∠PRT=∠PTR

So,

PS=PS (PS is common)

ΔPRS≅ΔPTS

Hence proved.

2.

In the case when AB and CD are the diagonals of the rectangle,

So,

diagonals AB=CD,  sides AC=BD and AD=BC

In ΔAEC and ΔBED,

So,

∠AEC=∠BED

That means

AE=BE

AC=BD

therefore, ΔAEC≅ΔBED

Hence Proved.

Learn more about the midpoint here; https://brainly.com/question/24600215

wich structure ate found in plant cells but not in animal cells multiple choice​

Answers

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

how do you math please help me

Answers

Math is math math gives more math math is math math is more math more math is tons of math tons of math is big brain math knowledge big brain math knowledge means your math

What is 40/9 as a mixed number

Answers

Answer:

4 4/9

Step-by-step explanation:

40÷9=4r4

Therefore:

409=449

Answer:

4  4/9

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Hope this helps :)

20 POINT!!!!!!!11PLEASE HELP!!!!!

A sphere is a three-dimensional geometric figure, hollow or solid, contained by a continuously round surface that is equidistant from its center. The maximum capacity of a sphere is calculated with the formula, where V = volume, and r = radius. For a sphere with a maximum capacity of 1,372pi/3 cubic millimeters, the diameter measures millimeters.

Answers

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        (cancel out the pi and multiply both sides by 3)

r³=343

r=7

Diameter is twice the radius = 2(7) = 14

What the person above me said

6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.

Answers

Answer:

The sale price of your ticket would be $9.22

Step-by-step explanation:

First you subtract 20% off from $10.90

Which is $8.72 , then you add 5.75%

so $8.72 + 5.75% = $9.22

Hope this helps have a nice evening please give me brainliest

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

help pls brainlest to first make sure it's correct Hank you ​

Answers

Answer:

It’s 32

Step-by-step explanation:

You have 7/5 gallons of juice and want to fill cups that hold 1/10 of a gallon. How many cups can you fill?

Answers

Answer:

14 cups

Step-by-step explanation:

Amount of juice had = 7/5 gallons

Cup to fill = 1/10 gallons

We can therefore write;

1cup = 1/10 gallons

x cups =7/5 gallons

ross multiply

1/10 x = 7/5

x/10 = 7/5

70 = 5x

x = 70/5

x = 14

Hence 14 cups cam be filled

pls help due in 2 mins

Answers

Answer:

Good luck

Step-by-step explanation:

Answer:

272 is the correct answer

Step-by-step explanation:

I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!

Hope this Helps! :)

Which operation can be used to solve for x? -3.2x = -4.8​

Answers

Answer:

-3.2x=-4.8 ÷(-3.2)

x=1.5

Step-by-step explanation:

prove me wrong

Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily's tea?

a $108.70
b. $144.93
с. $536.77
d. $715.69

Answers

Answer:

it is B. 144.93 on edge my friends

Step-by-step explanation:

cause i know so

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answers

Answer:

Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Step-by-step explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation:

Sample Answer on Edge

Trigeomentry need help asp about to fail

Answers

Let me do ur work for you and I’ll make u get a A+

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

Is it a function or not a function? Please help me??

Answers

Answer:

No

Step-by-step explanation:

Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39

Answers

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

Write the phrase as an Expression

The product of 6 and a number lll

Answers

Answer:

DURING PUBERTY

its ture

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8


Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?

Answers

Answer:

40.39

Step-by-step explanation:

70% of 57.70

70x57.7/100 =4039/100 = 40.39

The coat will cost 40.39 on sale

The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin

Answers

If A is 1/3 of B then A = 1/4 the sum of A and B. 1/4 times 48 = 12

Coin A = $12
Coin B = $48 - $12 = $36

Express in the form 1:n
Give n as a fully simplified fraction.

12:2

Answers

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

There should be 675 boys
i think the answer is 675:)

please help what would the 5 be in gallons

Answers

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

Rotate the vector (5,1) 90°
clockwise about the origin.

Answers

Answer:

(-1, 5)

Step-by-step explanation:

this is correct

The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.

In this case, the original x-coordinate is 5 and the y-coordinate is 1.

When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ2

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