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Alina [70]
4 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]4 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

You might be interested in
3 3/4x2 4/5 simplest form
solong [7]

Answer:

The answer is 10 1/2.

Step-by-step explanation:

<u>First:</u>

Convert any mixed numbers to fractions.

Then your initial equation becomes:

15/4×14/5

<u>Next:</u>

Apply the fractions formula for multiplication,

=15/4×14/5

=210/20

<u>Last:</u>

Simplify 210/20, the answer is

=10 1/2

Hope this helped! =)

6 0
3 years ago
a teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each g
GarryVolchara [31]
7 x 14 = 98, 100 - 98 = 2.

She gives 14 cubes to each group, and there are 2 cubes leftover.

Hope this helps!
7 0
4 years ago
K=10t−19<br> Find the output, k, when the input, t is, -7.
aalyn [17]
K= 10(-7) -19
k= -70-19
k=-89
4 0
3 years ago
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
3 years ago
Person A is breathing five times as fast as person B. Compare the graphs of the breathing of the two people over time.
hammer [34]

Answer:

A

Step-by-step explanation:

Focus on what the question is telling you, as it's given to you in the question. It's saying five times, which means "×5" the number of person B, so it'll always be 5 times quicker, since they're breathing more times in a certain period of time than person B.

Hopefully this helped!

8 0
3 years ago
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