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3 years ago

Three consecutive integers are such that three times the smallest is 14 more than the largest.Find the integers.

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Answer:

Step-by-step explanation:

x ← the smallest integer

x+1 ← the middle integer

x+2 ← the largest integer

3x ← three times the smallest

x+2 + 14 ← 14 more than the largest

3x = x+2 + 14

-x -x

2x = 16

÷2 ÷2

x = 8

x+1 = 8+1 = 9

x+2 = 8+2 = 10

Check: 3×8 = 24; 24-14 = 10

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Factor 64 - P.<br> (8 - x(8 - x)<br> (8 + x (8 - x)<br> (X + 8)(x-8)

muminat

Question:

Factor $64-x^2$

(8 - x)(8 - x)

(8 + x) (8 - x)

(X + 8)(x-8)

Answer:

Option B: $(8+x)(8-x)$ is the factor

Explanation:

Given that the expression is $64-x^2$

We need to find the factor of the given expression.

Let us rewrite the expression as $8^2-x^{2}$

Since the expression is of the form $a^2-b^2$ , let us use the identity $a^2-b^2=(a+b)(a-b)$

where a = 8 and b = x

Substituting the values in the identity, then the expression can be written as

$8^2-x^{2}=(8+x)(8-x)$

Thus, the factor of the expression is $(8+x)(8-x)$

Hence, Option B is the correct answer.

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3 years ago

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4 years ago

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3 years ago

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timama [110]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

kayden paddled a canoe to an island. the island is 8 miles from the shore. his trip to the island took two hours while paddling

Andrew [12]

Answer:

$2\text{ mph}$

Step-by-step explanation:

GIVEN: kayden paddled a canoe to an island. the island is $8$ miles from the shore. his trip to the island took two hours while paddling against the current. he paddles $6$ mph with no current.

TO FIND: what was the speed of the current.

SOLUTION:

distance of island from the shore $=8$ miles

total time taken by Kayden $=2$ hours

speed of Kayden in still water $=6\text{ mph}$

Let the speed of current be $x$

Speed of Kayden against current $=6-x\text{ mph}$

As,

$\text{Time}=\frac{\text{Distance}}{\text{speed}}$

$2=\frac{8}{6-x}$

$12-2x=8$

$x=2\text{ mph}$

Hence speed of current is $2\text{ mph}$

7 0

3 years ago