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

would you solve this by multiplying the second equation by 2 or -2 and why?

Answers

What’s the equation?
Umm can you take a screen shot of the question???

Find the value of the x

Answers

Answer:

The answer should be 77, but the triangle in the question seems off. Read the explanation.

Step-by-step explanation:

To find the exterior angle in this problem, you can use the exterior angle theorem.
Interior angle + interior angle = exterior angle
25 + 52 = 77
You can double-check this answer by figuring out the third interior angle.
Since the sum of all the interior angles of a triangle should be 180, you can determine that
25 + 52 + y =180
Y= 103
or, since a straight line is always 180 degrees (Y+X=180)
25+52+(180-x)=180

X= 77
The reason why I think the question looks weird is since 77 is an acute angle, and even though it's the only answer that makes sense in this question, angle X is clearly an obtuse angle, as shown in the picture.



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

I need help. Can someone please help me!?

Answers

Answer:

girl

Step-by-step explanation:

Answer:

What type of exercises

Step-by-step explanation:

PLEASE HELP, CORRECT ANSWER GET BRANiliest

Answers

A quadrilateral is a parallelogram if and only if the diagnosis bisect each other. So yes.

Evaluate the power.
{1/2}6

Ps. The six is the exponent

Answers

In fraction form it would be 1/64 and in decimal form it would be 0.015625
In a fraction you have to make one have and then do the other

You are flying from Houston to Chicago. You leave Houston at 7:30 A.M. At 8:35 A.M. you fly over Little Rock, a distance of 455 miles.

27. Write a linear equation that gives the distance in miles, y, in terms of time, x. Let x represent the pumber of minutes since 7:30 A.M.

28. Approximately what time will you arrive in Chicago if it is 950 miles from Houston?​

Answers

Answer:How long does it take to fly between Little Rock, AR and Houston, TX? Get the flight duration. Use the calculator to view a map and find flying times between cities. ... Supermodel Coco Rocha back on the runway just 3 months after giving birth ... you can use DistanceCalc.com to get the distance from Little Rock to Houston.

Step-by-step explanation:

. If it takes $36 to mow 4 yards of lawn, what is the cost of mowing 13 yards of lawn?

Answers

Answer:

117

Step-by-step explanation:

What is the answer for this problem?

Answers

Answer:

x

+

y

=

0

 

x

+

6

y

=

5

7

x

+

y

=

0

Step-by-step explanation:

Answer:

(-5,1)

Step-by-step explanation:

The larger the number in standard notation, the ____________ the exponent on base 10.

Answers

Larger I think, sorry if that’s wrong.
The larger the number in standard notation, the larger the exponent on base 10.

7x(7) + 7(2) = 7(x+2)
How many solutions does this equation have?
-one
-none
-infinite

Answers

Answer: One

Step-by-step explanation:

7x(7) + 7(2) = 7(x + 2)

49x + 14 = 7x + 14

49x = 7x

x = 0

7x(7)+7(2)=7(x+2)

the answer is: one

help please 12 points :>

Answers

2x+5-0.75x+2= 1.25x+7; Equivalent

x-7+.25x+14= 1.25x+7; Equivalent

x+.25+5+2= x+7.25; Not Equivalent

hope this helps! :)
Answer:

1)[tex]x+.25+5+2[/tex]=[tex][x= - \frac{28}{5}]=[x=-5.6[/tex][tex]][/tex] [tex]EQUIVALENT[/tex]

2)[tex]x-7+.25x+14[/tex]=[tex][x=-\frac{28}{5}]=[x=-5.6][/tex] [tex]EQUIVALENT[/tex]

3)[tex]2x+5-0.75x=2[/tex]=[tex][x=-\frac{29}{4}]=[x=-7.25][/tex] [tex]IS[/tex] [tex]NOT[/tex] [tex]EQUIVALENT[/tex]

[tex]1.25x+7[/tex]=[tex][x=-\frac{28}{5}]=[x=-5.6][/tex]

Answer: 1 and 2 are equivalent, 3 is not equivalent!

please help asap!! :0

Answers

Answer:

THE ANSWER IS A

Step-by-step explanation:

The and answer is A did this help?

ᕕ( ᐛ )ᕗ

hello good day.

can someone help me?

thanks

-ordange

Answers

Answer:

2880 ( plus i love your Demon slayer pfp)

Step-by-step explanation:

Because 8 x 10 x 4 x 9 = 2880

2880 because you multiply all the numbers

15 points please help :")

Answers

Answer:

15*C

Step-by-step explanation:

The temperature rises by 2.4 every 3 cycles per second. So you would have to keep the pattern going.

6 cycles p/second = 19.8*C

3 cycles p/second = 17.4*C

0 cycles p/second = 15.0*C

So, because 0 cycles means the engine is resting, 15*C would be the answer.

15 is the answer .......

Help plz I have 14 extra min!

Answers

Answer:

20 dvds

Step-by-step explanation:

find how much each block is worth

8 blocks= 32

32/8=4

each block is worth 4

how much is 5 blocks equal to?

5(4)=20

Please answer number 17 and you will get brainliest

Answers

Answer:

Since the shape was formerly a square,ofarea 100in²

Then,Area of square=side×side

100in²=side²

side=√100in²

side=10 inches

Perimeter of the shape=10+10+7+6+5

=38inches

Now a length of 3inches is cut off from the upper horizontal side and a length of 4in is also cut off from the right vertical side.

So now we can say a triangle of base 4in and height 3in is cut off from the square.

Area of cut off triangle=½base×height

=½×4×3=0.5×12

=6 inches ²

So the Area of the shape=Area of square-Area of triangle

=100-6=94inches²

PLEASE GIVE BRAINLIEST

Please see image below

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I think

r^2-3r-54=0
Solve by completing the square and show you work please so I can understand how to do it

Answers

Answer:

r = 9, -6

Step-by-step explanation:

Use the rectangle to the right. Write your answer in simplest form.
Find the perimeter _____
Find the area _____

Answers

Answer:

perimeter: 12x-6

area: 6x-10

Step-by-step explanation:

PERIMETER:

6x-5(2)+2(2)

12x-10+4

12x-6

AREA:

6x-5•2

6x-10

plz help with this question will mark brainlietss

Answers

Answer:

(2, 6)

Step-by-step explanation:

HELP ASAP AND USE IMAGE TO HELP!!

Answers

All the same and it is 3.5

Whether the ratio of cups of flour to teaspoons of vanilla is 5:2, 10:4, or 15:6, the recipes would make cookies that taste the same. We call these equivalent ratios.
4a. Find another ratio of cups of flour to teaspoons of vanilla that is equivalent to these ratios.

4b. How many batches can you make using this new ratio of ingredients?

Answers

Answer:

4A - 25:10

4B - 5

Step-by-step explanation:

Did 5:2 x 5 which equals to 25:10.

Assuming 5:2 equals one batch and 10:4 equals 2, 25:10 equals 5.

UMMM i need help can u plz help?

Answers

Photo Math should help

**URGENT(***
Select from the drop-down menus to correctly complete the statements about the given figures.

Quadrilateral ABCD is the result of a
Choose...

translation and then a dilation
reflection and then a rotation
rotation and then a translation

of quadrilateral IJKL.

Therefore, the quadrilaterals are
Choose...
congruent
similar
neither congruent nor similar
.

Answers

Answer:i would say translation then dilation and they are similar.

Step-by-step explanation:

Have a nice day:)

. On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid. The base of the pyramid had side lengths of 1.5in. Determine the volume of the stone if the height of the pyramid was 2in.

Answers

4.5 ^3/cubed

length * width * height = volume

1.5 * 1.5 = 2.25
2.25 * 2 = 4. 5
Your answer is 4.5 or 6.9 Hahahahahahahahahahahahahah

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.

Maddy draws a new picture every 6 minutes. How many drawings can she make in 8 hours?

Answers

Answer:

Roughly 480

Step-by-step explanation:

6 minutes for each drawing, so 10 pictures each hour for 8 hours is roughly 480

Answer:

80

Step-by-step explanation:

im pretty sure

Matteo was told he could spend AT MOST $80 to spend at the mall. He bought lunch for $25. He wants to buy phone cases for his friends. If the phone cases cost $5. How many phone cases can he buy?
Write and solve the inequality for each word problem

Answers

80 - 25 = 55. 55 divided by 5 = 11 phone cases.
You start with $80 and you buy lunch so you subtract 80-25=55. The phone cases are $5 each. 55 divided by 5= 11 phone cases

Hope it helps

Write an expression for 4(x + 6)

Answers

Answer:

Your final answer will be, x^2 +4x -12

Step-by-step explanation:

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