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3 years ago

This graph shows a proportional relationship.

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

9514 1404 393

Answer:

9/8

Step-by-step explanation:

The equation of a proportional relationship is ...

y = kx

The constant of proportionality, k, can be found from ...

k = y/x . . . . . above equation divided by x

Using the given points, we find the constant of proportionality to be ...

k = (3/4)/(2/3) = (3/4)(3/2) = 9/8

The constant of proportionality is 9/8.

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Which of the following number sentences is an example of the identity property of addition?

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Answer:

Option C is correct

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3 years ago

What is the tenth term in the sequence 9, 13, 17, 21, 25…?

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Answer:

Step-by-step explanation:

9, 13, 17, 21, 25

We are adding 4 each time

9+4 = 13

13+4 =17

17+4 = 21

The common difference =4

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The formula is

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Step-by-step explanation:

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3 years ago

Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3

andrew11 [14]

Answer:

$y = -\frac{3}{2}x + 2$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that $b = 2$ . So

$y = mx + 2$

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

$\frac{2m}{3} = -1$

$2m = -3$

$m = -\frac{3}{2}$

$y = -\frac{3}{2}x + 2$

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2 years ago