Kaylee is building a rectangular enclosure with an area of 90 square yards. She
wants the length of the enclosed area to be 6 yards longer than the width, x.
To represent this, she writes the equation x2 + 6x = 90. She then completes the
square to help solve her equation for x.
Which equation is equivalent to Kaylee's equation after she completes the square?
A.
(x + 3)2 = 93
B.
(x + 3)2 = 99
C.
(x + 6)2 = 96
D.
(x + 6)2 = 126

Answers

Answer 1

x^2 + 6x = 90

x^2 + 6x + 9 = 90 + 9

(x + 3)(x + 3) = 99

(x + 3)^2 = 99

Answer: B

Answer 2

The equation x² + 6x = 90 is also written as (x + 3)² = 99. Then the correct option is B.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Kaylee is building a rectangular nook with an area of 90 square yards. She maintains that the length of the encased region should be 6 yards longer than the width, x. The equation is given below.

x² + 6x = 90

Add both sides 9, then we have

x² + 6x + 9 = 90 + 9

(x + 3)² = 99

The condition x² + 6x = 90 is likewise composed as (x + 3)² = 99. Then, at that point, the right choice is B.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


Related Questions

Please help me hurry

Answers

Answer:

The last one I believe

Step-by-step explanation:

If I am wrong I am sorry

Answer:

I think it’s the 3rd one

Step-by-step explanation:

It’s linear because it’s going in a straight line and it’s neither positive nor negative because the x axis is not changing

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

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Answer:

A

Step-by-step explanation:

I think that it's luster tell me if i am right :)

It is 105 ¾ miles from my house to the Georgia Aquarium. On my map, it measures 2½ inches. What is the scale factor of the map? Pls explain

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Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

plz help will mark brainliest if correct answer only ​

Answers

Answer:

A

Step-by-step explanation:

I added all frequencies and it equals 50. The frequency for 1 is 8 so the answer would be 8/50. Simplify it and it equals to 4/25.

Correct the error. Perimeter =4+3+4+5+ = in.


WILL GIVE BRAINLIEST

Answers

Answer: You are missing a 4.

Step-by-step explanation: If you said the answer is 20, 4 is missing. We can add up the follow equation before putting 4.

(4 + 3) + (4 + 5)

   7     +    9 = 16 + 4 = 20.

Hence, 20 is your answer.

I’m pretty sure the mistake is here you are missing 4

The relationship between the cost, , in dollars, of a bottle of Spring Fresh water and the ounces of water, , in a bottle of Spring Fresh water can be modeled by a proportional equation. y

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is 86. The length of the rectangle is one more than twice the width. Determine the length and width of the rectangle.

Answers

There are two equation of the system

(1) The perimeter

    2(w + l) = p

    2(w + l) = 86

(2) The length and the width

     2w = l + 2

From the second equation

2w = l + 2

l + 2 = 2w

l = 2w - 2

Subtitute l with 2w - 2 in the first equation to find the width

2(w + l) = 86

2(w + 2w - 2) = 86

2(3w - 2) = 86

6w - 4 = 86

6w = 90

w = 15

Now, find the length by subtituting w with 15

l = 2w - 2

l = 2(15) - 2

l = 30 - 2

l = 28

The dimension of the rectangle

length = 28 cm

width = 15 cm

A drawer contains unmatched socks. There are 7 black, 4 blue, and 5 white. What is the probability that you will select a white sock, not replace it, and then draw another white sock without looking?

Question 10 options:

0.10=10%


0.098=9.8%


0.078=7.8%


0.08.=8.3%

Answers

0.10=10% is the one you but can see if it’s right u just have to download Socratic.

Jane wants to pick out an outfit for the school dance. She can choose from 3 pairs of pants, 5 shirts, and 2 pairs of shoes. How many different outfits does Jane have to choose from?

Group of answer choices
50
30
10
60

Answers

Answer:

I think 30 I could be wrong good luck :)

Step-by-step explanation:

Answer:

I would like to say 10 love.

Step-by-step explanation:

I believe it's simple math. For every clothing she purchases instantly counts as one outfit, and if you add them all up, you get 10


The point (-2, 1) is on the graph of which of these functions?

Answers

we need a picture to answer

Answer: its A

Step-by-step explanation:

A. y = -x^2 - 1

B. y = x^2 + 3

C. y = 1/2x

D. y = -3x - 5

Given the net below calculate the surface area. The sides measure 6 by 4, the top and bottom measure 8 by 6 and the front and back are 8 by 4.

Answers

Answer:

152

Step-by-step explanation:

So first I find the area of the big rectangle going down, which is 14x8=112

And then I do the flap thingies on the side: 5x4=20x2=40

112+40=152

Answer:

152

Step-by-step explanation:

Please give me brainliest, please, I hope this helps

Help ASAP!! look at the image to help

Answers

Answer:

it's D as the graph shown isn't normal lol

CORRECT ANSWER GETS BRAINLIEST
to plot the point (-3,6), start at the origin and move three places down and six places right.


(theres no graph)

Answers

Answer: 3,3

Step-by-step explanation: the -3 is the x and 6 is the y so if u move 3 down on the y, it’s 3 and if you do 6 right, split the six, -3 plus 3 is 0 plus the remaining 3 is 3

Answer is (3,3).

Explanation: when you move 3 spaces down it’s on the y axis and it is negative. So we minus 3 from 6. This gets us 3 for the y coordinate. For our x coordinate it tells us to move right 6. Since right is the positive side it is -3+6. This will get us 3 for our x coordinate.

I hope this helps c:

Help please show work

Answers

Answer:

C. 56.25π

Step-by-step explanation:

Circumference=15π=πd⇒d=15

Area=πr^2⇒r=d/2⇒r=7.5⇒π7.5^2=56.25π

PLEASE HELP ME, I WILL THE CORRECT AWnSER BRAILIEST

Answers

Answer:

yup true

Step-by-step explanation:

it can be anything like parallogram, square , rhombus, rectangle etc..

mark me as brainlist

Answer: Its true

https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDParallelograms.html

need helppppppppppppppppp

Answers

What is the question and then I can help
Use DESMOS ! It helps

Fine two integers that have a sum of -17 and a product of 52. What are the integers?

Answers

Answer:

{4, 13}

Step-by-step explanation:

Represent the integers by I and J.  Then I + J = -17 and I*J = 52.

Let's solve this system using substitution.  Solve the first equation for I as follows:  

I + J = -17 becomes I = -J - 17

Substitute -J -17 for   I   in the second equation:

(-J - 17)*J = 52

Performing the indicated multiplication, we get:

-J^2 - 17J - 52 = 0

Let's solve this using the quadratic formula.  The quadratic coefficients here are {-1, -17, -52}, and so the discriminant, b^2 - 4ac, is

(-17)^2 - 4(-1)(-52), or 289 - 208, or 81.  This result is positive, so we know that the quadratic equation has two real, unequal roots.  They are:

      17 ± √81         17 ± 9

J =  --------------- = ---------------

         2(-1)                  -2

Evaluating this last result, we get J = (17 + 9)/2, or J = 13, and

J = (17 - 9)/2 = 8/2, or J = 4

pls answer for free 3 brainliests

Answers

Answer:

Step-by-step explanation:

735$

$735 hope this helps

In hopes of encouraging healthier snacks at school, Bert brought in a tray of carrot sticks and apple slices to share. He brought 80 carrot sticks and 20 apple slices. What percentage of the snacks were carrot sticks?

Answers

Answer:

80%

Step-by-step explanation:

80/100, 20/100

therefore 80% of the snacks are carrot sticks

Answer: 80%

Step-by-step explanation:

Help me please and thank you :)

Answers

Answer:

 A. 74 cm

Step-by-step explanation:

First, we break the rhombus down into similar shapes,

The area of 2 triangles = The area of a square

So we take the triangle from the left and combine it with the triangle on the right, it should make a rectangle, Then calculate the area of the rectangle,

10 multiplied by 5 =50

Thats the area of rectangle 1

Rectangle 2

3 multiplied by 6 = 18

Triangle

4 times 3 divided by 2 = 6

Thus

6 + 18 + 50  = 74

PLEASE GIVE BRAINLIEST AND 5 STARS.

The answer would be A

Answer this question please and thank you

Answers

Answer:

1/18

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

There are 8 people, and 4/9 pounds of peanuts. It's simple division, distribute 4/9 pounds to 8 people. So 4/9 divided by 8.

A pair of sneakers that cost $90 last year has now been marked up 25%. Mariel has a coupon that is going to take 10% off the price of the shoes. Is the price that she will pay equivalent to a 15% markup of the original cost of the shoes? Show your work.

Answers

Answer:

Your answer is no.

Step-by-step explanation:

The answer is no because when using the coupon she's only getting 10% off of the price AFTER 25% is added.

10% off of the original price is: $81.00

10% off of the new price is: $101.25

Help please I’ll give brainliest

Answers

Answer:

9:1

Step-by-step explanation:

The Answer is D. 9:1

Please help. You will get a noice amount of points.

Answers

Answer:

5

Step-by-step explanation:

i dont know

the answer is 5 dbjsxbd

In ∆DEF, if m∠D is 14 less than m∠F and m∠E is 10 more than twice m∠F, find the measures of each angle.

Answers

Step-by-step explanation:

pag plasin mo kung anong angel ang present para ma kuha mo yung wla

d=f-14, e=2f+10
f-14+f+2f+10=180
4f-4=180
f-1=46
f=46, d=32, e=102

The middle school basketball team is selling t-shirts for $12.50 each to raise money for new uniforms. They have already sold 40 t-shirts. If they need to raise a total of at least $850, how many more t-shirts does the team need to sell?

Answers

Answer: 28

Step-by-step explanation:

Answer:

28 more t-shirts

Step-by-step explanation:

first 40x12.50 then 850-500 then 350/12.50 and done

40 POINTS PLZ HURRY
ITEM BANK: Move to Bottom 2,5002,5003,0003,00032,50032,50035,000 Consider the data shown on the graph.
• The y-intercept represents a starting salary of $ ? for a new employee. • The slope represents an additional $ ? in salary for each additional year of employment. • If the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = ? x + ? . • If the yearly salary increase is changed to $ ? , the new equation would be y = ? x + ? .

Answers

Answer:

Can you show the graph please?

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

If the yearly salary increase is changed to $ ? , the new equation would be y = ? x + ?.

Let $e for new empolyee.

Let $s for slope for salary.

We know if the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = ?

y = ? the question mark will represent x.

Because $35,000 is the only number, that will be our main goal.

So $35 in shorten, added 25, 20. Which is 45.

With that we do +200 - 45. 155.

So 45+255=300

Answer: 300

Done ✔

Help me plz I’ll give brainliest

Answers

Answer:

It is the top left one

Step-by-step explanation:

A beetle was running along a number line...The the bug ran from 78 to 13. What distance did it cover?If it took the bug 5 seconds, what was its average speed?

Answers

Answer:

It covers 65, and it's average is 13 per 5 seconds.

Step-by-step explanation:

You subtract 78 by 13 to get 65, and then if you divide 65 by 5 you get 13.

What are the coordinates of vertex C'
after rotating the figure 180° about the
origin?
у
6
BI
D
4
2
A А
E
X
o
0
2
4 6
A. (-6,4)
B. (4.-6)
C. (4,6)
D. (-4,-6)

Answers

Answer:

i what are u learning-

Step-by-step explanation:

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