Mathematics High School

The length of a rectangle can be represented by the expression (2 - 1) and the width can be
represented as (x + 3). The area of the rectangle is 12 square feet. Set up an equation that
could model this information, Solve the quadratic equation to determine a possible value for x,

PLS HELP ME AND IF YOU CAN SHOW HOW U GOT THE ANSWER IF NOT THATS OKAY!!! ILL ALSO MARK YOU BRANLIEST IF YOU HELPED ME!!! <333

Answers

Answer 1

Answer:

Step-by-step explanation:

The length is (x-1), not (2-1).

area = (x-1)(x+3) = 12 ft²

x²+2x-3 = 12

x²+2x-15 = 0

(x+5)(x-3) = 0

x = -5, 3

-5 is an extraneous solution, so x=3.

Length = x-1 = 2 feet

Width = x+3 = 6 feet

Related Questions

5. Write an equation that models exponential decay.

Answers

Answer:

Step-by-step explanation:

y = ab^x where 0<b<1 for exponential decay

an example would be y = 3(1/7)^x

What’s the value of x?

Answers

14 sorry if I’m wrong

Answer:

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

Step-by-step explanation:

I've gone ahead and labeled some points.

There is a formula that says PA*PB = PC*PD, this is what you use. If you would like me to show why this works I would be happy to.

So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

EDIT: Here is the explanation for the formula

If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle. Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.

This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.

This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number

[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]

can I get help with my homework

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1 = scale factor of 2 and x =3

10 - 6z = -104 *pls help me

Answers

X is equal to 19. Hoped this helped

Answer:

z=19

Step-by-step explanation:

Your mom is throwing a huge party for your graduation! Her total budget for the party is $1050. She must pay a fee of $400 to hold your party at Dave & Buster's. She is responsible for paying $50 for each guest so that they can eat and play. How many guests, g, can you invite to your graduation party?

Answers

Step-by-step explanation:

She has 1050

400 of that is the DB fee

Now she has 650 dollars

650/50 per person is 13

She can have 13 people

Marshallhasalreadyjarred1literofjamandwilljaranadditional7litersofjameveryday.HowmanydaysdoesMarshallneedtospendmakingjamifhewantstojar22litersofjaminall?

Answers

Answer:

thanks for the points, don't forget to drink water

explanation:

give me crown please

What is the value of X

Answers

Answer:

11=x

Step-by-step explanation:

since the lines are parallel the distances between each section of line is proportional to each other.

5/6=(x-1)/12

multiply both sides by 12

12(5/6)=(x-1)12/12

10=(x-1)

add 1 to both sides

10+1=x-1+1

11=x

I hope that helps :)

Question 6
Find the slope of the line that passes through the pair of points.
(-3, 2), (7, 2)

Answers

Answer:

Slope = 0

Step-by-step explanation:

Given the pair of points: (-3,2) (7,2)

Slope formula: y2-y1/x2-x1

2-2/7-(-3) = 0/10

0/10 = 0

I NEED HELP WITH ALL, MUST SHOW WORK!!! will give brainliest to the correct one!!!

Answers

1. 20 squared + 48 squared = 2704
square root of 2704 is 52. Answer: 52 inches.

2. -18 squared + 82 squared = 6400
square root of 6400 is 80 Answer: 80 inches

PLEASE HELLPP!!!!! Don’t know what it is

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Answer:

I think of having straight line

I need help with number 2

Answers

Answer: Area= 10

Step-by-step explanation:

The length is 2 the width is 5 2x5 equals 10 :D

Answer:

If its in inches, than the area is 10.

Step-by-step explanation:

if your answer is -2 what is my solution

Answers

What’s the question

Answer:

is there a photo ? or something

what is x? (7x+1)=(9x-7)

Answers

Step-by-step explanation:

Given

7x + 1 = 9x - 7

9x - 7x = 1 + 7

2x = 8

x = 8 / 2

x = 4

Hope it will help :)❤

Three-twelfths of the girls on Jamilia’s softball team missed practice. Which of the following is equal is equal to 3/12?

Answers

3/12=1/4 or 25%. You can simply 3/12 by 3. 3/3=1 and 12/3=4, and therefore: 3/12=1/4.

which inequality is true if p = 3.4

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i think it is p > 3.3

Help plz. I don't get this.

Answers

Answer:

6/4

Step-by-step explanation:

up 6 and over 4

　　°　　　•　　.°•　　　 ✯

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　 .　　　•　° ★　• ☄

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　 .　　　•　° ★　• ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Make a triangle to find c, the hypotenuse.

Using the Pythagorean Theorem:

a^2+b^2=c^2

4^2+6^2=c^2

16+36=c^2

52=c^2

7.211102550927=c

7.2~c

Question in photo! answer asap! will give brainliest!

Answers

Answer:

Option B

Step-by-step explanation:

When you put option b in y intercept form, the slope is -3/2 which is the negative reciprocal of 2/3, making the lines perpendicular.

3x + 2y = -4

-3x -3x

2y = -3x -4

/2 /2

y = -3/2 -2

Evaluate the expression 6.2 - (-9.1).

Answers

Answer: 15.1

Step-by-step explanation: subtracting a negative (ex. 1 - (-1)) just change to addition (prev. ex. would be 1+1) (also adding decimals is like adding normal numbers just remember the place values

Find the solution of the system of equations.
10x+6y= 16
−10x+5y= 50

Answers

Answer:

( − 2 , 6 )

x = − 2

y = 6

Step-by-step explanation:

I need help on how to get the answer too number 27.

Answers

a^2 + b^2 = c^2
3^2 + 8^2 = c^2
9 + 64 = c^2
73 =c^2
take the square root of each side
c= 8.544

DE is a midsegment of AABC. Find the value of x.
A
х
D
B
E
6
-
X=
please HELP 30 points

Answers

14 i believe, if it’s a mid segment then 7 is half of x.

Item 5
Find the area of the circle. Round your answer to the nearest hundredth.

area: about
cm2

Answers

Here’s the link to the answe

:510 around th e cme3 cthulhu.com

The area of a rectangle is 35x - 20. Find the length and width of the triangle. (Hint: Factor completely) Write your answer as a product. Ex: 8(3x-2).

Answers

Answer should be 5(7x-4)
I factored out the greatest common factor which is 5.

Solve the system of equations by graphing.
y = 2x + 5
y = -1/2x
Where do the two lines cross?

Answers

The answer is (-2,1) or x is -2 and y is 1. You just need to know how coordinate plane works

Find the area of the blue shaded figure.
25 mm
120 mm
I’m begging atp. Please help me

Answers

area of blue shaded figure = area of big circle minus small circle

radius of big circle = 60mm

area of big circle= πr² = check pic

Fill in the table to convert the units of time from hours to minutes or minutes to hours.
Minutes Hours
60 1
300
4

Answers

Ok so first we need to under stand that 60 minutes is equivalent to 1 hour, by knowing this we should be able to answer the following. Our first box which needs to be filled in asking how many hours are in 300 minutes, well let’s figure this out. So we know that in 60 minutes it will be equivalent to one hours, so in order to find how many minutes are in 300 minutes we would divide 300 by 60 which give a us 5. Therefore causing the second box to me 5 hours. Our next and final box is asking how many hours are in four minutes well this one is a little harder than our previous one but I’ll help you through it. By following the same procedure as we did the previous question we are going to divide 4 by 60 and we know that dividing like so we are going to get a decimal but that’s ok it’s going to give us the answer we need to fill in the box. By dividing like so we should get a long decimal that look that this 0.066666666666667. I am going to simply this down to 0.0667. Causing my last box to be 0.667.
Summary:
second box: 5 hours
Third box: 0.0667 hours
Hope this helps!!!
Please tell me if I have made an error, I enjoy learning from my mistakes:)
Have a great rest of your day❤️

if ABC is similar to DEF, determine the measure of A

Answers

Answer:

the answer is 66°

Step-by-step explanation:

As it is given that triangle ABC is similar to triangle DEF so

< A = < D ( being corresponding angles of similar triangles)

3x + 18° = 4x + 2°

4x - 3x = 18° - 2°

x = 16°

So now

< A = 3 * 16° + 18° = 66°

how long is the shorter ladder

Answers

I am just assuming here- but imma say 12 ft. Because the other one looks at least 40 ft.

Hope I don’t get this wrong xd

Can you help me with this? (easy)

Answers

Answer:

6. 18

7. 8

do the rainbow method

Answer:

The GCF of 36 and 90 is 18

The GCF of 16, 24, and 40 is 8

Step-by-step explanation:

RECREATION An instructor at a swimming pool asked her students if they would be interested in a n advanced swimming course, and 60% stated that they would. Is the sample method valid? If so, suppose there are 870 pool members. How many peoplecan theinstructorexpecttotakethecourse?

Answers

She can expect 522 people to take the advanced course.

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