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3 years ago

Explain how you calculate the constant of variation.

1 answer:

4 0

Answer:Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Step-by-step explanation:The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.

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What is the distance between (5,-2) and (5,3)

Mumz [18]

Answer:

B-1

Step-by-step explanation:

6 0

3 years ago

What is the volume of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface: 75.3

Andrew [12]

Answer:

150.72 ft³

Step-by-step explanation:

Given:

Area of the base :

B = 50.24 ft²

Height of cylinder:

h = 3 ft

The volume is:

V = Bh
V = 50.24*3 = 150.72 ft³

5 0

3 years ago

Read 2 more answers

What is the solution to this equation? 3x – 5 + 2x = 25

LekaFEV [45]

Answer:

$x=6$

Step-by-step explanation:

We want to find the solution to the equation:

$3x-5+2x=25$

Rearrange:

$(3x+2x)-5=25$

Combine like terms:

$5x-5=25$

We can add five to both sides:

$5x=30$

And divide both sides by five. Therefore:

$x=6$

3 0

3 years ago

Read 2 more answers

Javier used the expression below to represent his score in a game of mini-golf.

Cerrena [4.2K]

Answer:

The three true options are B, C and E.

Step-by-step explanation:

Let's simplify the expression that represent the score of Javier in a game of mini-golf:

3x + x + 5 – 2x

2x + 5

Which statements are true about the parts of the simplified expression? Select three options.

A. The constant is 2.

It's false. The constant is 5.

B. The coefficient is 2.

It's true. The coefficient of x is 2.

C. The constant is 5.

It's true.

D. The coefficient is 5.

It's false. 5 is the constant and the coefficient of x is 2.

E. There are two terms.

It's true. The two terms are 2x and 5.

The three true options are B, C and E.

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4 years ago

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Write the equation of the line that passes through A(-3,-2) and B(1,6).

topjm [15]

Answer:

Step-by-step explanation:

$A(-3,-2) and B(1,6).\\\\x_1 = -3\\y_1 = -2\\x_2 = 1\\y_2 =6\\\frac{y-y_1}{x-x_1} =\frac{y_2-y_1}{x_2-x_1} \\\frac{y -(-2)}{x -(-3)} =\frac{6-(-2)}{1-(-3)}\\\frac{y+2}{x+3} = \frac{6+2}{1+3} \\\frac{y+2}{x+3} = \frac{8}{4} \\Cross-multiply\\4(y+2) =8(x+3)\\4y +8 =8x+24\\4y = 8x +24-8\\4y = 8x+16 \\OR\\ y = 2x+4$

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3 years ago