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3 years ago

Find the value of x and if necessary, express answer in simplest radical form.

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

Writing and solving an equation of ratios is the way to go here. See if you can figure out why the following is correct:

x+3 x
----- = -------
12 x+3

Then (x+3)^2 = 12x, and x^2 + 6x + 9 = 12x, so that x^2 - 6x + 9 = 0

This is the square of (x - 3). Thus, x-3 = 0, and x = 3.

The value of x is 3.

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Sunny_sXe [5.5K]

Answer: A 13.4

Step-by-step

a^2 + b^2= c^2 4^2 + b^2 = 14^2 16+ b^2= 195 b^2= 180 b= square root of 180 b= 6 square root of 5 or 13.42

7 0

2 years ago

What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3

Sauron [17]

Answer:

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

Step-by-step explanation:

Given equations can be written as

$y=\frac{2}{3}x+3\hfill (1)$

$x=-2x+3x=-2\hfill (2)$

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

$y=\frac{2}{3}(-2)+3$

$=-\frac{4}{3}+3$

$=\frac{-4+9}{3}$

$=\frac{5}{3}$

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

5 0

3 years ago

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Every set of three points must be collinear.

maria [59]

Answer:

I suppose you're trying to make a triangle of some sort on a plane! So, in this case, yes the three points would reside all on the same plane. Making all three of them collinear.

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3 years ago

Find m< A inscribed angles and arcs

never [62]

Answer: 115 degrees

Step-by-step explanation:

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2 years ago

Solve for x 1 7 1 2 х Your answer

ki77a [65]

Answer:

x = 4

Step-by-step explanation:

3x -5 = -2 + 9

-2 + 9 = 7 so now its 3x - 5 = 7

add 5 to the -5 so it cancels itself out. then add the 5 to 7 so it become 12. the you have 3x = 12

divide 12 ÷ 3 = 4

x = 4

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2 years ago

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