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.
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
can someone plz help me answer this i will give brainliest due by 12:30
Answer: Yes
Step-by-step explanation:
I'm pretty sure it's correct so yes
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
13p
Step-by-step explanation:
12p+1p
(12+1)p
13p
T-Mobile has a family plan of four lines $120 additional lines are $10 each per month. If Jason wants to spend at most $175 per month on cell phone expenses, how many additional lines can he afford?
Answer:
Jason can afford 5 more additional lines, making 9 lines total because
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Step-by-step explanation:
Answer:
B.) 120+ 10x =< 175
Step-by-step explanation:
Help? please- Can someone help me solve for x. Like you don't need to tell me the answer just how to. It's just a little hard for me-Thank you to anyone who helps
9514 1404 393
Answer:
undo what is done to the variable
Step-by-step explanation:
As with any "solve for" problem, it is a good idea to take a look at what is being done to the variable you're solving for.
Starting "as is"
Here, the value 2.5 is added to it, and the sum is multiplied by -5 (which we notice is negative).
In general, you want to "undo" what is done to the variable — in reverse order. What was done:
add 2.5multiply by -5If we adopt that strategy, it means we first need to undo multiplication by -5. That is, we must either (a) multiply both sides by -1/5, or (b) divide both sides by -5. Either choice will require that the sense of the comparison be reversed, so you will have ...
( ) < (x + 2.5)
After that, you need to "undo" the addition of 2.5. That is accomplished by adding -2.5 to both sides of the equation.
__
Simplifying first
For many problems that have fractions and/or parentheses, it can work well to eliminate both before you start with your "undo" strategy. Here, a first step can be to simplify the inequality, eliminating parentheses. This means you will use the distributive property to multiply each term inside parentheses by the (negative) factor outside.
Having done that, you find the "what was done to the variable" list is slightly different:
multiply by -5add -12.5As a consequence the "undo" steps are slightly different. Addition is still reversed by adding the opposite. Multiplication is still reversed by multiplying by the reciprocal, or by division (same thing).
As before, (and as always), what you do to one side of the inequality, you must also do to the other side. If multiplication or division by a negative number is involved, the comparison symbol must be reversed.
_____
About Negative Multiplication/Division
Above, we have noted that multiplication or division by a negative number requires reversal of the comparison symbol. For example, ...
starting with -1 > -2
multiplying both sides by -1 gives ...
ending with 1 < 2
__
When the (only) variable term has a negative coefficient, there is another strategy you can use that does not require the comparison to be reversed. You can add the opposite of that term to both sides of the inequality. For example, ...
starting with -5x < -38
we can add 5x to both sides to get ...
0 < -38 +5x . . . . . now the variable has a positive coefficient
This lets us proceed with the solution without worrying about the sense of the inequality. (Note that the variable will be "greater than" some value.)
_____
More about solving strategy
The rules that make Algebra possible are the rules of equality. If you look them up, you may find separate versions for addition, multiplication, subtraction, division. If you realize that subtraction is a form of addition, and that division is a form of multiplication, there are really only two—and those can be simplified to ONE RULE: always do the same operation on both sides of the equal sign. The same rule applies to inequalities. You will stay out of trouble if you remember and follow this rule. (There are many "shortcut" versions that go by names like "cross-multiply" and others. They are basically this rule with some steps not shown.)
When it comes to applying functions to inequalities, you need to consider carefully whether the function preserves the ordering relationship (>, ≥, <, ≤). Some functions do not, or have different behavior in different domains, so paying attention is required. Multiplication by a negative number is just the tip of the iceberg here.
PLEASE HELP ME I HAVE OTHER HOMEWORK TO BE FINISHED!!
Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy?
Step-by-step explanation:
Pyramid
1/2 * 12 * 15
6 * 15 = 90
90 * 4 = 360cm
Cube
12 * 12 = 144
144 * 4 = 576cm
576 + 360 =
936 cm² of paint
First to answer get's brainly.
Answer:
A is 12 cards
B is 18 cards
C is 16 cards
Step-by-step explanation:
Give me a cold stone cake order =)
Its my birthday and I dont have anyone to celebrate it with so I figured I would celebrate it with myself! :)
Just kidding, can you help me with this IXL problem?
Answer:
j would be -7
please help with 6 , 9 , & 10
9514 1404 393
Answer:
6. 15/22
7. 1/12
9. 1/16
10. 0
Step-by-step explanation:
6. 10 of the 12 tiles are "not P", so the probability of a "not P" on the first draw is 10/12 = 5/6. After drawing a "not P" on the first draw, 9 of the remaining tiles are "not P". The probability of drawing one of those is 9/11. So, the joint probability of drawing two "not P" tiles is ...
(5/6)(9/11) = (5·9)/(6·11) = 15/22
__
7. The probability of drawing a tile worth 3 points is 3/12 = 1/4. The probability of drawing a tile worth 1 point is 4/12 = 1/3. So, the joint probability of drawing a 3-point tile, then a 1-point tile is ...
(1/4)(1/3) = 1/12
__
9. There are 3 of the 12 tiles worth more than 4 points. The probability of drawing one of them is 3/12 = 1/4. The probability of doing it again is also 1/4, so the probability of doing it twice is ...
(1/4)(1/4) = 1/16
__
10. The probability of drawing a Z is 1/12. Having drawn a Z, the probability of drawing a 10-point tile is 0/11. The joint probability of drawing a Z twice is ...
(1/12)(0/11) = 0
_____
Additional comment
We revisited problem 7 because we needed that answer for problem 9.
need help with finding the area of the trapezoids
Answer:
560
Step-by-step explanation:
7 x 8 x 10= 560
Answer:
This is what I came up with base on my knowledge please note that I learned this in 4th grade and its been 4 years I am in 8th grade well 7th but I got moved up a grade Thank You :)
Step-by-step explanation:
7) 56*the other 3
8) 4.6*3 + the other 9.2
:)
Please help ASAP!!!!50 points!!!!!!!!No fake answers!!!!!!!!!!!!need ALL answers ASAP!!!!!!!!!!!!
please please please don't waste my points!!!!!!!! ONE ANSWER PER QUESTION!!!!!!!!!!!!!!!!
all questions MUST BE ANSWERED!!!!!
PLSSSSSSSSSSSSSSSSSSSSSSSSS, will give free 3 brainliests if right! write the unitrate in a sentence pls
Answer:
a). 100 of 2 = 50
a). 150 of 3 = 50
Step-by-step explanation:
b). Gallon per miles
PLEASE HURRY
Triangle RST has vertices R(−6,2), S(−2,8), and T(−4,−2).
Determine the transformation of triangle RST that produces triangle R′S′T′.
R′(6,2), S′(2,8), T′(4,−2)
reflection across the x-axis
reflection across the y-axis
reflection across the line y = x
rotation clockwise 90° about the origin
Answer:6,2
Step-by-step explanation:you need to add each step and divide
if you and answer any of these 7-9 that would really help!!
(pic below)
Answer:
7. 8x^2 + 3y^2
8. 9y^4 -- 8x
9. 5x^2- 2x- 3
Step-by-step explanation:
Find the area of the polygon.
question: The area of the polygon is
___ square meters
Answer: 634 sq meters
Step-by-step explanation:
Its alittle bit too complicated to explain.
1. 36-29 = 7
2. 18-14 = 4
3. 7 x 4 / 2 = 14
4. 14 x 7 = 98
5. 18 x 29 = 522
6. 14 + 98 + 522 = 634
So the area of the polygon is 634 sq meters (I didn't double check.)
The circumference of a circle is 113.04 feet. What is the circle's diameter?
Use 3.14 for .
Answer:
you would do
113.04 divided by 3.14 to get 36.
the diameter of the circle is 36 ft
solve: 7 - 2x = 2 (x - 4) - 1
Answer:
Step-by-step explanation:
Help please, i'm trying to get all my work done as report cards come out today!
Answer:
1. -7
Step-by-step explanation:
-3x - 5 = 16
add 5 to both sides of the equation.
-3x = 16
divide both sides by -3
x = -7
(Sorry, I don't know what 2 is!)
What is the measure of the missing angle in the triangle below?
The measure of the missing angle in the triangle is ? degrees. brainliest plz
WILL GIVE BRAINLIEST DONT SCAM ME A librarian is rearranging the bookshelves and notices that the pair of bookends on the shelf are not the same size. The librarian then notices that the bookends create similar triangles. What is the length of the diagonal, x, created by the smaller bookend? 5 in. 7.2 in. 27.2 in. 20 in.
Answer:
Think 139 in
Step-by-step explanation: You multiply all the numbers together then square root your final answer
The length of the diagonal [tex]x[/tex] created by the smaller bookend is 7.2 inches.
How to apply triangle similarity
In this question we have two pairs of books which create two similar triangles, whose formula is an application of the concept of direct proportionality:
[tex]\frac{12\,in}{10\,in} = \frac{x}{6\,in}[/tex] (1)
[tex]x = 7.2\,in[/tex]
The length of the diagonal [tex]x[/tex] created by the smaller bookend is 7.2 inches. [tex]\blacksquare[/tex]
Remark
The figure associated to the question is missing. We included a simplified representation of the figure below.
To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965
Create a list of 5 potential jobs that students of meteorology can obtain.
PLEASE HELP ME WITH MY MATH (1-9) BUT SKIP NUMBER 5
Answer:
1 22
2 57
3 60
4 15
5 14
Step-by-step explanation:
also, how many geometry worksheeta do u have, holy
can someone help me with these questions?
Answer:
1. 2:5
2. 110 (the total degree of a triangle is 180 so it would be 40+30+x=180)
3. 37 (It's a right angle, 90 degrees so it would be 90-53=x)
Please answer the question below. Answer needed by tonight. Will give brainliest!
Answer:
120 cm
Step-by-step explanation:
10 x 6 = 60
60/2 = 30
30 x 4 = 120
There is a hiking trail that is 2,930 feet long. There is 1 person hiking for every 10 feet of the length of the trail. Write and solve an equation to find how many people are hiking on the trail.
Answer: question question for you to do a walk on a walk and jog on a walk on a field trip and jog the field of a walk on the walk in a walk on the field and jog jog the
Step-by-step explanation:
Answer:
293
Step-by-step explanation:
2930÷10≈293
You are painting the outside of a 36-foot fence that goes around a square playground. There are 4 equal sections. You have painted 1/4 of one section. What fraction of the job have you completed?
pls hurry
Answer:
1/16
Step-by-step explanation:
if you do Keep, Change, Flip, you get 1/16. So what you do is you lay out 1/4 divided by 4/1. You KEEP the first fraction, CHANGE the division sign into a multiplication sign, and then FLIP the 4/1 into 1/4. Then all you have to do is multiply 1 times 1, and then 4 times 4. Hope this helps :)
Evaluate the expression for the given value of x.
4x + 7 for x = 7
-96Step-by-step explanation: i-
SAME SCENARIO - DIFFERENT QUESTION
The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). A random number table was used to generate a random sample of 20 pieces of data. The dot plot below shows the twenty pieces of data.
Based on the data in the dot plot, what would you expect the mean of the sample to be? EXPLAIN YOUR REASONING.
Answer:
20=XY
Step-by-step explanation:
Please answer number 20
HELPPP MEEE!!! Here is another question I got way more coming!!!!!!
Answer:
A: tea formation 4
Step-by-step explanation:
Dilating changes the size which makes the shape not congruent
Answer:
transformation 4
Step-by-step explanation: