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muminat
3 years ago
12

What is the largest integer n such that (n^2-38) / (n +1) is an integer?

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

a. 36

Step-by-step explanation:

for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.

we check with the options

option a n=36 sutisfies the above condition.

(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36

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Convert 18.5 into centimeters
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3 years ago
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1700 feet, what
Leokris [45]

Answer:

I. L = 10.35 feet

II. W = 93.15 feet.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangular field = 1700 feet

Translating the word problem into an algebraic expression, we have;

W = 9L

Mathematically, the formula for the perimeter of a rectangle is;

P = 2(L + W)

A. To write an equation;

X = P = 2(L + W)

B. To find the dimensions of the field;

207 = 2(L + 9L)

207 = 2L + 18L

207 = 20L

L = 207/20

L = 10.35 feet

To find the weight;

W = 9L

W = 9 * 10.35

W = 93.15 feet.

Therefore, the width of the field is

93.15 feet and the length of the field is

10.35 feet.

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2 years ago
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3 years ago
In your own words, explain the steps needed to rewrite an equation so that it is "FRACTION" free
leva [86]

Answer:

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Step-by-step explanation:

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hope this helps

have a great day

:)

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2 years ago
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