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Anarel [89]
3 years ago
14

For which value of x is the equation 3x + x = 2x + 24 true?

Mathematics
2 answers:
VikaD [51]3 years ago
7 0

Answer:

x = 12

Step-by-step explanation:

Given

3x + x = 2x + 24, that is

4x = 2x + 24 ( subtract 2x from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Yanka [14]3 years ago
4 0

Answer:12

Step-by-step explanation:3x + x + 2x + 24 = 12

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Two lines, R and M, are represented by the following equations:
likoan [24]
Well, i'm just going to take a stab at this:

The answer out of:
> It is (18,9) ,
> It is (9, 18)
I believe both are correct as those are both plausible coordinates (although I may be wrong)

Line R: 2x + 2y = 18 (x + y = 9)
Line M: x + y = 9
There are infinite many solutions as they are the same line.
6 0
3 years ago
What is the slope of the graph of y=-3X?<br><br> 3<br> 1<br> 3<br> 1<br> -3
Reil [10]

Answer:

-3

Step-by-step explanation:

y = -3x

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

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5 0
2 years ago
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The constant of proportionality is always the point ____________, where kis the constant of proportionality.
spayn [35]

Answer:

The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.

Step-by-step explanation:

Let's take as example a linear function of the form: y = kx.

Where, k is the constant of proportionality.

Therefore, the proportionality constant is the point: (x, kx)

Generically it is always the point: (x, k * f (x)

Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.

8 0
2 years ago
AB = BC, BC = CD, so AB = CD. Which property allows us to make this conclusion?
a_sh-v [17]

Answer:

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Step-by-step explanation:

6 0
3 years ago
HELP ASAP
Andrei [34K]

Answer:

radius = \sqrt{13} or radius = 3.61

Step-by-step explanation:

Given

Points:

A(-3,2) and B(-2,3)

Required

Determine the radius of the circle

First, we have to determine the center of the circle;

Since the circle has its center on the x axis; the coordinates of the center is;

Center = (x,0)

Next is to determine the value of x through the formula of radius;

radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}

Considering the given points

A(x_1,y_1) = A(-3,2)

B(x_2,y_2) = B(-2,3)

Center(x,y) =Center (x,0)

Substitute values for x,y,x_1,y_1,x_2,y_2 in the above formula

We have:

\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}

Evaluate the brackets

\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}

\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}

Eva;uate all squares

\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}

\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}

Take square of both sides

(3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9

Evaluate the brackets

3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9

9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9

9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9

Collect Like Terms

6x -4x + x^2 -x^2 = 4 -4 + 9 - 9

2x = 0

Divide both sides by 2

x = 0

This implies the the center of the circle is

Center = (x,0)

Substitute 0 for x

Center = (0,0)

Substitute 0 for x and y in any of the radius formula

radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}

radius = \sqrt{(x_1)^2 + (y_1)^2}

Considering that we used x1 and y1;

In this case we have that; A(x_1,y_1) = A(-3,2)

Substitute -3 for x1 and 2 for y1

radius = \sqrt{(-3)^2 + (2)^2}

radius = \sqrt{13}

radius = 3.61 ---<em>Approximated</em>

7 0
4 years ago
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