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3 years ago

Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

$4\left(n\right)-3=-2\left(n\right)+9$

remove the parentheses

$4n-3=-2n+9$

Add 3 to both sides

$4n-3+3=-2n+9+3$

Simplify

$4n=-2n+12$

Add 2n to both sides

$4n+2n=-2n+12+2n$

Simplify

$6n=12$

Divide both sides by 6

$\frac{6n}{6}=\frac{12}{6}$

Simplify

$n=2$

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})$

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})$

= $\frac{1}{2}(2\sqrt{3} )$

= $\sqrt{3}$

6 0

3 years ago

What is a reasonable estimate for the problem ?

umka21 [38]

Answer:

A is the correct answer

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3 years ago

Which is greater than, less than, and equal to 18 tons or 36,000 lbs?

slamgirl [31]

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3 years ago

Use the Distributive Property to<br> REWRITE 6x(2y - 4x + 1)

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Answer:

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Step-by-step explanation:

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Serjik [45]

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Step-by-step explanation:

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3 years ago