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3 years ago

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

Answer: third option.

Step-by-step explanation:

By definition, a direct variation function has the form shown below:

$y=kx$

Where k is a constant.

Then, knowing the given points, you can calculate k with the formula for calculate the slope of a line:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-3)}{-12-(-9)}=\frac{1}{3}$

Substituting k into $y=kx$ , you obtain:

$y=\frac{1}{3}x\\\\y=\frac{x}{3}$

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Jet001 [13]

Answer:

Step-by-step explanation:

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3 years ago

The quantities x and y are proportional. Find the constant of proportionality r in the equation y = rx

ELEN [110]

Answer:

r = 7

Step-by-step explanation:

To solve this, we can plug in a pair of x and y values and solve for r.

y = rx | Plug in a pair

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We can test this by plugging in r with a pair.

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3 years ago

Read 2 more answers

Please this is your answer.

xeze [42]

Answer:

3. 4

4. is correct

5. is correct

Step-by-step explanation:

3 is incorrect, you have to start with division first

3. 6-6/3

6-(6/3)

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the answer for question 3 is 4

question 5 and question 4 are correct

6 0

2 years ago

Read 2 more answers

(3,15) is the solution for what equation

juin [17]

Hello there, i think the answer is 15=3*5
(Please leave a thanks if this IS the right answer! Thanks ;)
What times 3 = 15?
x*3=15
X=5

5 0

3 years ago

If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott

Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

$a^{2} + b^{2} = c^{2}$

$8^{2} + b^{2} = 17^{2}$

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

$8^{2} + b^{2} = 17^{2}$ --> Square 8 and 17

$64 + b^{2} = 289$ --> Subtract 64 from both sides

$b^{2} = 225$ --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0

3 years ago