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3 years ago

Find the point on the line 3x+y = 4 which is closest to the point ( 3, 1 ).

Mathematics

1 answer:

padilas [110]3 years ago

3 0

This is the equation
$3 x + y = 4 \\ y = - 3x + 4$
(1,1) is the closest point, I believe.

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Simplify.<br> A12 over a7

max2010maxim [7]

Answer:

a^5.

Step-by-step explanation:

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Hope this helps!

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3 years ago

How do you write 180% as a fraction or mixed number in simplest form?

Zigmanuir [339]

180% would be written as 1 4/5 in simplest form

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3 years ago

The area of an equilateral triangle is given by A =3^1/2/4s^2. Find the length of the side s of an equilateral triangle with an

yan [13]

Answer:

The length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

$A=3^\frac{1}{2}s^2$

It can be written as

$a=\frac{\sqrt{3}}{4} s^2$ Square inches (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is $12^\frac{1}{2}$ square inches

It can be written as

$A=12^\frac{1}{2}$

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It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches (2)

Now comparing equations (1) and (2) we get

$\frac{\sqrt{3}}{4}s^2=\sqrt{12}$

$\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}$

Dividing by $\frac{\sqrt{3}}{4}$ on both sides we get

$\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}$

$\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}$

$s^2=8$

$s=\sqrt{8}$

Therefore $s=2\sqrt{2}$ inches

Therefore the length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

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3 years ago

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Step-by-step explanation:

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3 years ago

The difference of two times a number and five is eight more than the number

Finger [1]

Add it then x it by 3

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4 years ago