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

x^2 + 6x = 90

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

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

(x + 3)^2 = 99

Answer: B

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

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

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Select the TWO answer choices that apply.

Can someone pls help me ASAP

What are the values of A, B, and C in the equation –4x – 5y = 8?

David worked seven hours and earned $117.25. If he earned $670, how many hours did he work?

Need help with question 4 :(

The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). One hundred of these amounts are shown in the table below. These amounts will form the population for this question.

dollar amounts

A random number table was used to generate the following numbers: 01, 03, 72, 15, 53, 20, 07, 63, 82, and 91. Use these two digit numbers to select a random sample from the table above. (NOTE: these are NOT dollar amounts. You use these digits to find the dollar amounts.)

Which choice below reflects the random sample of the 10 dollar amounts you found?

Question 3 options:

4.67, 4.06, 4.75, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


4.67, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.86, 4.05, 5.00 and 5.58

Which choice below reflects the random sample of the 10 dollar amounts you found?

Question 3 options:

4.67, 4.06, 4.75, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


4.67, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.86, 4.05, 5.00 and 5.58

PLEASE HELP THIS ASSIGNEMNT IS TIMED

Two​ trains, Train A and Train​ B, weigh a total of 417 tons. Train A is heavier than Train B. The difference of their weights is 249 tons. What is the weight of each​ train?

The distance from a driveway to the closest house is 12,672 feet. How far is that in miles? (1 mile = 5280 feet)
A) 2.2 miles
B) 2.4 miles
C) 4.2 miles
D) 12 miles

please help with this
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A Barrel in the Shape of a Cylinder is cut in half lengthwise to make the water trough for horses.​

15 point, please help :>

Write the equation of the line in slope-intercept form using y=mx+b​

How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Length:3
Width: 1
Height: 1

please help me out i don't understand this question thanks!

plz help i will give brainliest

If you can help with this problem I'll give u brainliest. You can only use each number once and there's no need to give an in-depth explanation, just where each number goes.

SOMEONE PLEASE HELP PLSSS WILL MARK BRAINLIEST

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
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Please help with these questions!!!


Q1:

Show all work to factor x^4 − 5x^2 + 4 completely.

Q2:

Show all work to solve 3x^2 − 5x − 2 = 0.

Q3:

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.



f(x) h(x)

f(x) = −4(x − 8)^2 + 3 graph of negative 1 times the quantity of x minus 3 squared, plus 2

Q4:

The functions f(x) = (x + 1)^2 − 2 and g(x) = −(x − 2)^2 + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

this is so hard i need some help ill give brainliest too

I WILL GIVE BRAINLIEST!!!! ANSWER CORRECTLY OR YOU'RE GETTING REPORTED/BANNED!

When it says square 5, does that mean 5^2 or does it mean [tex]\sqrt{5}[/tex]

Triangles ABC and RST are similar. Find ST.

Please help with this question,Best answer will be marked as brainliest-
convert the following equations in statement form-
(i) 2x - 1 = 8
(ii) 7y + 3 = 10
(iii) 3y/7 = 1

Can someone solve all of this for me (100 FOR BRAINLIEST)

PLEASE HELP ME BRAINLISET FOR RIGHT ANSWER!!

*If there is a decimal, write it to the nearest tenth (1 decimal place)*

Mean:

Median:

Mode:

Range:

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

Please help me with this! I will give brainliest!