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VikaD [51]
2 years ago
5

How do you know if a situation represents a proportional relationship?

Mathematics
1 answer:
kvasek [131]2 years ago
7 0
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
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What is the slope of the line through (-9, 6) and (-3, 9)?<br> Choose 1 answer:
trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

<u>Plug in the values</u>

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{9 - 6}{-3 - (-9)}

<u>Simplify the expression</u>

  • m = \frac{3}{-3 + 9}
  • m = \frac{3}{6}
  • m = \frac{1}{2}

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

4 0
1 year ago
Read 2 more answers
HELP WILL GIVE BRAINLIEST
AnnyKZ [126]
<h2>Good evening ,</h2>

<em><u>Answer</u></em>:

q=-10

<em><u>Step-by-step explanation:</u></em>

D:y=-3x+q

let’s find q

A(-4,2)∈D ⇔ 2=-3(-4)+q ⇔ q=-10

then D:y=-3x-10

look at the photo for more details.

______________

:)

5 0
2 years ago
What is the following sum 3b^2
densk [106]

The given expression is 3b^2*(\sqrt[3]{54a}) + 3*(\sqrt[3]{2ab^6})

This can be simplified as :

= 3*b^2*(\sqrt[3]{27 *2*a}) + 3*(\sqrt[3]{2*a*b^6})

We know that: \sqrt[3]{27}  = 3

Similarly we also can simplify: \sqrt[3]{b^6}  = b^2

So our expression will look like this:

= 3*3*b^2*(\sqrt[3]{2a}) + 3*b^2*(\sqrt[3]{2a})

= 9b^2*(\sqrt[3]{2a}) + 3b^2*(\sqrt[3]{2a})

=\sqrt[3]{2a}*(9b^2 + 3b^2)

=\sqrt[3]{2a}*(12b^2)

This can also be written as:

12b^2(\sqrt[3]{2a})

So the Answer is Option B


6 0
2 years ago
Read 2 more answers
Which graph could be used to show the situation described?
trasher [3.6K]
It would be the top right
because they are increasing by intervals of 4 each time. it can’t be the others because top left those are increasing by 5, bottom left decreasing by 4, and bottom right decreasing by .5.
4 0
2 years ago
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Explain step by step ​
Neko [114]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
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