The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle and solve in order to determine the value of x.

Answers

Answer 1

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

[tex]\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}[/tex]

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0


Related Questions

I NEED HELP I WILL MARK BRAINLIEST!!!
Find the slope of the following graph.

Answers

2/1 or 2
It's goes up by 2 and to the right once.

Answer:

1/2 or one half

Step-by-step explanation:

I did this question

Is 9x negative or positive?
-9x + 17x + -8x

Answers

Answer:

-9x is negative but the answer of the whole problem would be 0.

A woman can do a job in 9 days and her daughter can do the same job in 16 days. They start working together, but after 4 days the daughter leaves and the woman finishes the job alone. How many days did it take her to finish the job alone?

Answers

Step-by-step explanation:

ans...9days.......,........

if you form a triangle from three given angle measures, do you always get a unique triangle, or more than one triangle?

Answers

It depends on the measurements. If you have equal measurements, it would just be an equilateral triangle. If you got measurements that had two of the same degrees, that would be isosceles. Measurements that are all different to one another would be a scalene triangle.

Which value from the set (54,45,27,6) makes 54/x = 9 true?

Answers

Answer:

x = 6

Step-by-step explanation:

54/6 is 9. This is the only correct one.

Hope it helps!

PLEASE HELP ME I WILL GUVE BRAINLIEST I REALLY NEED HELP

Answers

The word solution means the value that makes the equation true. 88 is the solution because it makes he equation true.

A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3? A 1/18 B 1/4 C 1/3 D 4/9 E 2/3​

Answers

Answer:

C 1/3

Step-by-step explanation:

The numbers on a 6-sides die are 1, 2, 3, 4, 5, 6.

The number of an 8-sided die are 1, 2, 3, 4, 5, 6, 7, 8.

All the possible sums are:

2, 3, 4, 5, 6, 7, 8, 9,

3, 4, 5, 6, 7, 8, 9, 10,

4, 5, 6, 7, 8, 9, 10, 11,

5, 6, 7, 8, 9, 10, 11, 12

6, 7, 8, 9, 10, 11, 12, 13

7, 8, 9, 10, 11, 12 ,13, 14

The multiples of 3 are shown in bold and italic.

There are 48 possible sums.

16 sums are multiples of 3.

p(numbers whose sum is a multiple of 3) =

(number of outcomes that are multiples of 3)/(total number of possible outcomes)

p(numbers whose sum is a multiple of 3) = 16/48

p(numbers whose sum is a multiple of 3) = 1/3

Answer: C 1/3

The perimeter of the square below is 116 m. What is the value of a?
5a +9

Answers

(5a+9)4=116

20a+36=116

20a=116-36

20a/20=80/20

a=4

Jaden is participating in a 4-day cross -country biking challenge. He biked for 56, 60, and 47 miles on the first three days. Over the four days he averaged ( arithmetic mean ) 57 miles per day. How many miles did he bike on the last day?

Answers

Answer:65

Step-by-step explanation:

Determine how (if possible) the triangle can be proven similar:

Answers

Answer:

Not similar

Step-by-step explanation:

 You can only find the vertical angles at the intersection.

So, you know they share one angle.

That is not enough information to prove similarity.

Therefore, I'd say they're not similar.


The Kings Dominion Gold Pass costs $89. If you buy it the first week of
December you will get a 15% discount. What will your total cost be with the
discount?

Answers

Answer:

$75.65

Step-by-step explanation:

1 - .15 = .85 = 85% of the price is what you pay

89 • .85 = $75.65

como seria una ecuacion de (2,3) si la pendiente es -2​

Answers

Answer:

Hola, antes de dar la respuesta quisiera recomendarte una app llamada m a t h w a y (sin espacios) esto te va a ayudar con preguntas sobre matematica y super rapido.

Step-by-step explanation:

(2,3) pendiente de -2

                                           1. Usa la fórmula de la ecuación de la recta para

                                              hallar b

y = mx + b

                                          2.  Substituye el valor de m, x y "y" en la ecuacion

3 = (-2) · (2) +b                      

                                           3. Calcula para hallar el valor de b

b = 7

                                          4. Ahora con el valor de b, calcule de nuevo

y = mx + b

3 = -2x +7

Espero esto haya ayudado en algo, sino puedes intentar buscando en el sitio que recomende.      

13 × 20 – 15 × 9 + 20 × 7 – 6 × 15.

Answers

Answer:

the answer is 175

Step-by-step explanation:

have a good day

Answer:

The correct answer is 175.

Step-by-step explanation:

  [tex]13 * 20 - 15 * 9 + 20 * 7 - 6 * 15\\[/tex]

= [tex]260 - 135 + 140 - 90[/tex]

= [tex]400 - 225[/tex]

= 175.

15+26-13
Random okay have a great day

Answers

Answer:

28

Step-by-step explanation:

41-13=28

you too have a great day ♡

Find the missing number (i.e. the coefficient in front of x) so that the equation has no solutions: □x + 4 = 4x + 15

Answers

Answer:

X=8

Step-by-step explanation:

I am not sure how to do this.​

Answers

Answer:

Hopefully this can help

Step-by-step explanation:

jack wanted to leave a 15% tip on a $36.00 bill. How much would he leave for a tip
A. $7.20
B. $5.40
C. 3.60
D. $3.96

Answers

The answer is $5.40. hope this helped <3

Answer:

B = $5.40

Hope this helps!

Step-by-step explanation:

Find the missing value so that the two points (-1, -1) and (x, 1) have a slope of 217.
6
7
10
12

Answers

Answer:

6

Step-by-step explanation:

you needed to make a graph and then find the (-1,-1) and then move two spaces to the right and then seven up and you get (6,1)

hope this helped

Complete the following ratio table so that each pair represents the same rate.
1
5
2
10
3
15
4
20
5
25

Answers

51 so I hope that help you in the long turm

Answer:

Step-by-step explanation:

A principal of $2900 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 14 years?

Answers

Answer:

$6774.4

Step-by-step explanation:

Given data

P=$2900

r= 6.25%

t= 14 years

A=???

The compound interest formula is given as

A=P(1+r)^t

substiute

A= 2900(1+0.0625)^14

A= 2900(1.0625)^14

A= 2900*2.336

A= $6774.4

Hence the final amount is $6774.4

Plz help due tomorrow

Answers

Answer:

1/2

Step-by-step explanation:

The problem is asking for the coefficient of the sum of the two expressions, which are 2/3 and -1/6.

2/3 + -1/6 = 1/2, therefore, the answer is 1/2.

pleaseeeeee someone help i'm in tears

Answers

Answer:

the correct answer is 6

Step-by-step explanation:

only reasonable answer

Can anyone help me with this

Answers

Answer:

No ....................

30. A mom bought her kids 3 cartons of milk
for $1.25 each and 6 doughnuts. The total
cost was $6.90. Write an equation to
determine the cost of a doughnut.

Answers

Answer:

x = (1.25 * 3 - 6.90) divided by 6

Step-by-step explanation:

this will get the price of all the milk, then take it out of the total price, then divide it by 6 because there are 6 donuts, this will give you the price of 1 donut

Answer:

$3.15

Step-by-step explanation:

$1.25x3=$3.75

$6.90-$3.75=$3.15

find the value of each expression for n = 2.​

Answers

Answer:

1. 22

2. 22

3. 28

Step-by-step explanation:

Substitue the n in each expression with two, then solve the problem for the value

Pl help it’s for a grade I will give you a Brainly if right

Answers

Answer: a= (4x-1)(6x+9)

Step-by-step explanation:

area= length x width

Answer:

below

Step-by-step explanation:

24 x 2 + 30 x − 9

HIIII
anyone know what's 10.00 - 6.79 is if you do please explain how'd you got your answer it'll make me understand more (: - Liz ( kim's little sister lol )

Answers

Answer:

3.21

Step-by-step explanation:

got it from googIe

Answer:

I got 3.21 by subtracting them

10.00

-6.79

____

3.21

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

a. no correlation
b. positive correlation; as time passes, the birth rate increases.
c. positive correlation; as time passes, the birth rate decreases.
d. negative correlation; as time passes, the birth rate decreases.

Answers

Answer:

a

Step-by-step explanation:

Answer:

I think D, Correct me if I'm wrong!

Step-by-step explanation:

Which equation represents the graphed line?
y
6
4
NO
O
2
4
6
A. y - 1 = -2(x - 3)
O
B. y - 1 = -2(x + 3)
C. y + 1 = -2(x - 3)
O D. y + 1 = -2(x + 3)

Answers

Answer:

D

Step-by-step explanation:

someone plz solve this quickly!

Answers

Answer:

Tyler made an error on step 2

The correct answer should be -20x+33

Other Questions
Bill drove 871 miles in 13 hours.At the same rate, how many miles would he drive in 8 hours?Please hurry! I need help ASAP! PLSSSSSSSSSSSSSSSSSSSSSSS HELP!!!!!!!!!!!!!!!!!!Compare and contrast the treatment of different religions by rulers of the Arab empire. PLEASE HELPI don't understand this question this is langagague arts Which of these things will not dissolve in water? A.dye B.salt C.sugar D.plastic why we should manage disaster minimum 5 point Samantha makes $250.00 a week and saves 10% of her paycheck each week. How much will she save in 12 months distribute 2(9x + 2) Masa is a dough used to make tortillas, tacos and tamales. true or false? Determine which of the following words best describes the underlined word(s) in the context. The President of a mobile phone manufacturer wants to know what color mobile phone users prefer. The company sells mobile phones throughout the world. There are 5.16 billion unique mobile phone users in the world. A Statistician for the manufacturer conducts a random sample of 1,000 mobile phone users throughout the world and from the sample determines that 23.6% prefer white and 34.6% black. variable, population, statistic, sample, data, parameter quivalerWhat is the decimalequivalent for 15_? Lucass computer took 8 minutes to download 30 songs. How many seconds per song did it take his computer to download SOMEONE PLEASE HELP ME WITH THIS I NEED HELP PLEASE ILL GIVE BRAINLY!!!! Please help ASAP!Lisa is thinking about a career in Hospitality and Tourism. She has always wanted to run a small bed and breakfast. What area might have just the right economy for Lisa?A. a concentrated manufacturing districtB. a farming community with chicken houses everywhereC. a small town close to the beachD. a cold, icy community in a rural area What is 3/8 written as a decimal? what is the answer to 7.7w-4.6w 5x - 3y = -28 4x + 6y = -14 Seven more than two times a certain number is 181. Find the number Is this table proportional or non proportional , How do you know?Help the best answer will get brainly Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83 hour.Who runs faster? Which question can be represented by the equation ?How many 3s are in 1/8?What is 3 groups of 1/8?How many 1/8s are in 3?What is 1/8 of 3?