If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?

Answers

Answer 1

Answer:

5 and 8

Step-by-step explanation:

quadratic formula.

-(b)+sqrt(b)^2-4(a)(c)

^ans

divide the whole thing by 2(a).

If the formula isn't clear, search quadratic formula up.


Related Questions

tan 235° = 2tan20°+ tan215°​

Answers

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

Use the distributive property to match equivalent expressions.
-7(4 + x)
-28 + 2x
7(4 + x)
28-7X
7(4-x)
28 +7x
-7(4x)
-28-7x
Intro
Done

Answers

Answer:

by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside

1. -7(-4+x) -> 28-7x

2. 7(4+x) -> 28+7x

3. 7(-4-x) -> -28-7x

4. -7(4-x)-> -28+7x

what is the answer for this y=__x+__

Answers

the answer is y=mx+b

Solve for the value of s.

Answers

Answer:

6s+2=4s-2

-4s -4s

2s+2=-2

-2 -2

2s=0

/2 /2

s=undefined or x=0

3x + 2y = -9
X – Y = -13

Answers

Answer:

x =-7. .y=6

Step-by-step explanation:

3x + 2y = -9

(X – Y = -13)×3

3x + 2y = -9

3x – 3y = -39

5y = 30

y=6

3x +2(6)=-9

3x=-21

x=-7

plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?

270 degrees clockwise rotation


90 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Answers

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.9 meters long and has an area of 8.7 square meters.

2.9x = 8.7

What is the width of the section of Clark's backyard?
A.
3 meters
B.
5.8 meters
C.
4 meters
D.
2.23 meters

Answers

Answer:

B

Step-by-step explanation:

Bought an antique for $25. He would it for 30% more than what he paid.

Answers

Answer:

$32.50

Step-by-step explanation:

multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer

What is the value of x?
A. 6
B. 5
c. 4
D.3

Answers

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

Alice gets a job selling boots, and is given the option of wages plus commission, or commission only. In the first option, she would earn $33 in wages for each day of work, plus $2.50 for every pair of boots sold. Under the commission only option, she would earn no wages, and $3.25 for every pair of boots sold. How many pairs of boots would Alice have to sell in one day to make the two options equal?

Answers

Answer:

44 pairs of boots

Step-by-step explanation:

As per two options given to Alice,

1). Wages of $33 for each day work + commission of $2.5 for every pair sold.

 If Alice sells x pairs of boots in a day, then total amount earned by Alice,

 = (33 + 2.5x)

2). Commission of $3.25 for every boot sold.

  If Alice sold x pairs of boots, total earnings of the day = 3.25x

If earning of Alice is equal in both the plans,

(33 + 2.5x) = 3.25x

3.25x - 2.5x = 33

0.75x = 33

x = 44

Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.

There are 12 girls and 18 boys in a class. What is the largest number of groups they can be split into and have the same number of boys and girls on each team?

Answers

12 cause that is the max amount of girls and there is no other way to get the groups even if you go over.

PLEASE HELP WILL GIVE BRAINLIEST! Solve |3x – 1| = |x+1| by graphing.

Answers

it wold be (0,1) and (2,3)

Answer:

Step-by-step explanation:

Hello Guys will ya'll pls help me with these
quiestions...?

Answers

Answer:

I'll help you with this so reflections is not hard.

For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).

For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).

sign is basically + or - if need to know.

I hope this helps you in the long run.

To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =

Answers

Answer: k=1

Step-by-step explanation: PQ already equals ST

What is the prouduct of the number p and 12

Answers

[tex] \frac{p}{12} [/tex]

hope it helps u

what is the distance between (-5,8) and (-5.-8)

Answers

Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.

y= -13x -57

Step-by-step explanation:

I need help on this please n-5>-2

Answers

Answer:

I think that it is n<3

Step-by-step explanation:

Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES

Answers

Answer: D

The answer is D

(6x - 6.3) divided by 3

Answers

Step-by-step explanation:

We can represent the terms like this:

6x = 3 * 2x6.3 = 3 * 2.1

Therefore, (6x - 6.3) / 3

= [(3)(2x) - (3)(2.1)] / 3

= 2x - 2.1.

Answer:

Terms of the equation is :---

6x/3 = 2x and 6.3/3 = 2.1

According to the given problem,

[tex] \frac{(6x - 6.3)}{3} = \frac{3(2x - 2.1)}{3} = \boxed{2x - 2.1} ✓\\ [/tex]

(2x+2.1) is the right answer. ★

Solve the formula a(m+r) -t=s for a.​

Answers

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  [tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]

The answer to the problem

Answers

Answer:

580

Step-by-step explanation:

If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15

Answers

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Devon forgets to pay his credit card bill for three months. Which of the following statements is TRUE? *

1. A Late Payment fee will not be charged to his account.
2. A Balance Transfer fee will be charged to his account.
3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
4. His A.P.R. (interest rate) will rise to 30.24% and stay there until he makes six consecutive minimum payments .

Answers

The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.

giving brainliest to whoever can solve correctly

Answers

Answer:

The answer is 9

Step-by-step explanation:

4/9 = 9/4

Help please! It’s due at 11pm!

Answers

Answer:

it's -7 + 5= -2 I think im not sure

A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?
Plsss fast

Answers

I believe the answer is: 490 students are most likely to ride the bus

We would expect about 490 students to ride the bus to school based on the sample

What is random sampling?

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.

If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:

Number of students who ride the bus = Proportion who ride the bus x Total number of students

Number of students who ride the bus = 0.5833 x 840

Number of students who ride the bus = 489.99

Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.

Thus,

We would expect about 490 students to ride the bus to school based on the sample

Learn more about random sampling here:

https://brainly.com/question/12719656

#SPJ3

Simplify the product using the Distributive Property.

(4r –5)(7r + 2)
A. 28r2 + 43r – 10
B. 28r2 – 27r + 10
C. 28r2 + 43r + 10
D. 28r2 – 27r – 10

Answers

Answer:

D

Step-by-step explanation:

the picture pretty much explain it step by step; hope this helped!

the value of a car is 30,000$ it loses 6.5% of its value each year. What will the value of the car be after 5 years

Answers

Answer:

6.5 x 5=32.5

67.5/100 x 30,000= $20,250

Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of ​​the new skatepark?

(please include the solving steps in your answer)

Answers

Answer:

x² + x - 30

Step-by-step explanation:

Let the initial side be x

New skatepark has dimensions:

x - 5 and x + 6

Its area is:

(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30

It took a skydiver 12 seconds to drop 450 feet. What is the rate (in feet per/second) of the skydiver's drop?

Answers

Answer:

37.5 feet per second

Step-by-step explanation:

Answer:

37.5 ft per second

Step-by-step explanation:

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