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3 years ago

The sum of twice a number, n, and 14 is 30. Write an equation that models this

Mathematics

1 answer:

Andru [333]3 years ago

8 0

Answer:

2n +14 = 30 I can use inverse operations and solve for n.

Step-by-step explanation:

twice means 2 so twice a number,n, means 2 times n thus 2n.

sum means add so, 2n + 14

is means equal so 2n + 14 = 30

If you solve it you will find n = 8

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The measure of the angle ∠ABD is 64 degrees

<h3>How to determine the measure of the angle?</h3>

From the question, we have the following parameters:

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1 year ago

How do I solve this equation and check the solutions?

IgorLugansk [536]

<h3>SOLUTION :-</h3>

<u>By squaring on both sides :</u>

$: \implies \sf {\big( \sqrt{20 - 8x} \:\big)}^{2} = x^2 \\ \\$

$:\implies \sf {20 - 8x} = {x}^{2} \\ \\$

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$: \implies\sf{ {x}^{2} + 10x - 2x - 20 = 0 } \\ \\$

$: \implies\sf{ x(x + 10) - 2(x + 10 )= 0 } \\ \\$

$:\implies\sf{( x + 10 )(x - 2)= 0 } \\ \\$

$: \implies\sf x + 10 = 0 \: or \: x - 2 = 0 \\ \\$

$: \implies\sf x = 0 - 10\: or \: x = 0 + 2\\ \\$

$: \implies \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}$

$\huge {\therefore}$ The roots of this equation are -10 and 2.

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