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3 years ago

Will Give Brainliest!!!

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

I think the best answer would be answer D

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The sum of the reciprocals of two consecutive even integers is 3/4 Find the two integers.

Vedmedyk [2.9K]

$\Large{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}$

Let one of those even numbers be x, Then other even number would be x + 2.

According to question,

⇛ Their reciprocal add upto 3/4

So, we can write it as,

⇛ 1/x + 1/x + 2 = 3/4

⇛ x + 2 + x / x(x + 2) = 3/4

⇛ 2x + 2 / x² + 2x = 3/4

Cross multiplying,

⇛ 3(x² + 2x) = 4(2x + 2)

⇛ 3x² + 6x = 8x + 8

⇛ 3x² - 2x - 8 = 0

⇛ 3x² - 6x + 4x - 8 = 0

⇛ 3x(x - 2) + 4(x - 2) = 0

⇛ (3x + 4)(x - 2) = 0

Then, x = -4/3 or 2

☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2

Then, x + 2 = 4

✤ So, The even numbers are 2 and 4.

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4 0

4 years ago

Can some one help me please thank you

nika2105 [10]

What’s the question

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4 years ago

EASY MATH QUESTION Urgent pls

Serga [27]

Answer:

I don't know that is hard

Step-by-step explanation:

You said this was an easy math question.

8 0

3 years ago

3.7 x 0.25 please show me the steps on how to solve thank you

Sedaia [141]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the following statements correctly uses the distributive property?

Anna007 [38]

Answer:

d) 9(-7+6) = 9(-7) + 9(6) is the correct use of Distributive Property.

Step-by-step explanation:

Distributive Property states that form any three expressions A, B and C

1. A( B -C) = AB - AC

2. A (B + C ) = AB + AC

Now, here

a) 0-3(12+5)= -3(12) - (-3)(5)

Solving Left side by distributive property, we get

0-3(12+5) = -3(12) + (-3)(5)

and -3(12) + (-3)(5) ≠ Right Side -3(12) - (-3)(5)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

b) 7(19 - 8) = 7(19) - 8

Solving Left side by distributive property, we get

7(19 - 8) = 7(19) - 7(8)

and 7(19) - 7(8) ≠ Right Side 7(19) - 8

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

c) -2(15 - 3) = -2(15) + (-2)(3)

Solving Left side by distributive property, we get

-2(15 - 3) = -2(15) - (-2)(3)

and -2(15) - (-2)(3) ≠ Right Side -2(15) + (-2)(3)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

d) 9(-7+6) = 9(-7) + 9(6)

Solving Left side by distributive property, we get

9(-7+6) = 9(-7) + 9(6)

and 9(-7) + 9(6) = Right Side 9(-7) + 9(6)

⇒ CORRECT USE OF DISTRIBUTIVE PROPERTY

3 0

3 years ago