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2 years ago

What equation results from completing the square and then factoring?

Mathematics

1 answer:

Vinil7 [7]2 years ago

6 0

Answer:

$\large\boxed{D.\ (x-4)^2=55}$

Step-by-step explanation:

$(a-b)^2=a^2-2ab+b^2\qquad(*)\\\\\\x^2-8x=39\\\\x^2-2(x)(4)=39\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\\underbrace{x^2-2(x)(4)+4^2}_{(*)}=39+16\\\\(x-4)^2=55$

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In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mi

Kay [80]

47 miles taxi ride will cost $32.9

Step-by-step explanation:

Given,

Cost every 36 miles = $25.20

Cost of one mile = $\frac{Cost\ for\ 36\ miles}{36}$

Cost of one mile = $\frac{25.20}{36}\\$

Cost of one mile = $0.7

Cost of 47 miles = Cost of one mile * 47

$Cost\ of\ 47\ miles = 0.7*47\\Cost\ of\ 47\ miles = \$32.9$

47 miles taxi ride will cost $32.9

Keywords: Division, multiplication

Learn more about multiplication at:

#LearnwithBrainly

5 0

3 years ago

On Sunday a library checked out 52books .if 24 of the books were fiction what is the ratio of non fiction books to fiction books

lana66690 [7]

Answer:

Ratio of Non Fiction : Fiction books = 7 : 6

Step-by-step explanation:

Total number of books checked out = 52

Number of fiction books checked out = 24

So, number of non fiction books = Total books - number of fiction books

Or, number of non fiction = 52 - 24 = 28 books

Now, ratio of Non Fiction : Fiction books = 28 : 24

Solving the ratio term in its lowest form, we get

The Ratio of Non Fiction : Fiction books = 7 : 6

7 0

3 years ago

Sara buys soil from a gardener to fill a planter.The gardener has 1.5 cubic feet of soil to sell for $6. Sara buys just enough s

Travka [436]

The first thing you should do is calculate the volume of the prism.
We have then:
V = h * L ^ 2
Where,
L: side of the square base.
h: height.
Substituting we have:
V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
Then, we can make the following rule of three:
1.5 feet ^ 3 ---> 6
0.5 feet ^ 3 ---> x
Clearing x we have:
x = (0.5 / 1.5) * (6) = 2 $
Answer:
it will cost Sara 2 $ to completely fill her planter with soil

5 0

3 years ago

Which of the following is the last step in problem solving? A. Understand the problem. B. Check your answers and present the sol

almond37 [142]

B - check your answers and present the solution

7 0

3 years ago

Write a function that models each variation.

Leno4ka [110]

Answer:

z = 2.7x/r²y

Step-by-step explanation:

z = kx/r²y

½ = k × ⅓ ÷ (3² × ⅕)

½ = ⅓k × 5/9

k = 27/10 = 2.7

z = 27x/10r²y

z = 2.7x/r²y

7 0

3 years ago