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Readme [11.4K]
3 years ago
15

Divide using long division.

" alt="(x^{2} -5)" align="absmiddle" class="latex-formula"> ÷ (x-5)
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

The quotient = x + 5 and the remainder = 20

Step-by-step explanation:

\frac{x^{2}+0-5 }{x-5}=x+\frac{5x-5}{x-5}

\frac{5x-5}{x-5}=5+\frac{20}{x-5}

The quotient = x + 5 and the remainder = 20

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A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
3 years ago
What are the values of A and B?
Darina [25.2K]
I think that either A or B have to be the number of days
6 0
3 years ago
A 3
Andrew [12]

Answer:

There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.

(nk)=n!k!(n−k)!.

(63)=6!3!3!.

Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.

But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.

So the number of combinations of flavors is (63)=1206=20.

<h3>Mark me a brainlist</h3>

7 0
2 years ago
Suppose y varies directly with x. If y = 6 when x = 2, find x when y = 12.
igomit [66]

Answer:

x = 4 when y = 12

Step-by-step explanation:

The ratio of y to x is 6:2. If you multiply either one of them, you must do the same to the remaining number. So, when you multiply 6 by 2 to get 12, you must also multiply 2 by 2 to keep the ratio equal and the same. 2x2 = 4, so x=4 when y=12. Hope this helped! Good luck with other math problems :)

3 0
3 years ago
The triangles are similar.<br> What is the value of x?<br> Enter your answer in the box.<br> X=
Volgvan
X=21

If the triangle are similar then you can divide.
75 divided by 25 is 3
72 divided by 21 is 3
so that means if you take 7 times 3 you will get 21
3 0
2 years ago
Read 2 more answers
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