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2 years ago

Which characteristics of a graph tell you that it represents a proportional relationship?

Mathematics

2 answers:

pochemuha2 years ago

4 0

If a line goes through the origin , then it shows a proportional relationship, at this stage , y intercept is zero.

Step-by-step explanation:

netineya [11]2 years ago

4 0

Answer: Sample Response: You can tell a graph is proportional if the points form a single line and that line passes through the origin. The relationship between input and output figures will also remain the same throughout.

Explanation: It was the sample response but if you don't want it to look the same just be sure to include these ideas:

-The points will form a straight line.

-The straight line will pass through the origin.

-The ratio of input and output is always the same.

Good luck!

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A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

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3 years ago

Do the sides 4, 5, and 6 form a Pythagorean Triple?

NemiM [27]

Answer:

They do not form a Pythagorean Triple.

If it was a Triple, 4^2+5^2 should equal 6^2.

4^2+5^2=16+25=41

6^2=36

41≠26

It doesn't work, therefore it is not a Pythagorean Triple.

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2 years ago

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Answer:

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Step-by-step explanation:

when factoring you work with similar concepts and get rid of what you can to make the equation simipler and get your answer like you take a y out of the equation to get y^2 and then reduce and then solve by grouping.

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alina1380 [7]

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Which characteristics of a graph tell you that it represents a proportional relationship?​

Which characteristics of a graph tell you that it represents a proportional relationship?