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Alina [70]
3 years ago
11

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

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

y = \frac{1}{3} x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (- 9, - 3), then

k = \frac{y}{x} = \frac{-3}{-9} = \frac{1}{3}

y = \frac{1}{3} x ← equation of function

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Blizzard [7]

#22. We are given that y = 1/4. So, we want to plug this value into the expression 15/y:

15/(1/4)

When you divide by a fraction, you should follow the rule “flip the guy and multiply”. Basically, 15/(1/4) = 15 * 4 = 60.

The answer for #22 is (D).

#23. We can use a proportion:

(The shaded area)/(entire circle area) = (360 - 60)/360

But, we don’t have to find the areas of the region and circle; we can just solve the fraction:

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The answer for #23 is (A).

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3 years ago
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katrin2010 [14]

Answer:

the surface of hexagonal prism is 12 cm

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3 years ago
Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156
tensa zangetsu [6.8K]
An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.

a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13

an = 130 + 13(n - 1)

an = 130 + 13n - 13

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4 0
3 years ago
Cuántos años tendre en 2030 si tengo 16 en 2022?​​
stepan [7]

¿Cuántos años tendre en 2030 si tengo 16 en 2022?

Resolvamos:

\:  \: {\sf \rightarrow2030 - 2022 = 82030−2022=8}

\:  \:  \sf \rightarrow16 + 8 = 2416+8=24

Entonces, Tendrás 24 años en 2030.

Espero que te sirva, salu2!!!!

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2 years ago
What is 1-4-x-(4-1)=-x-2-(4) With your work shown
erastovalidia [21]

Lets take this step by step.

1-4-x-(4-1)=-x-2-(4)

first, we'll simplify the parentheses on the left side of the equation.

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second, we'll combine like terms on the left side.

-6-x=-x-2-(4)

third, we'll combine like terms on the right side of the equation.

-6-x=-6-x

since these are equal, (x=x), we have infinitely many solutions.

7 0
3 years ago
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