Can someone help me out with this??

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Step-by-step explanation:

2 nd one , is it online asset practice test?

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality? X 4 7 12 Y 32 56 96

dalvyx [7]

<h3>Answer: Yes we have a direct proportional relationship</h3><h3>constant of proportionality = 8</h3>

equation is y = 8x

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Explanation:

Divide each x and y pair like so: y/x

If we get the same result each time, then we have a direct proportion.

y/x = 32/4 = 8

y/x = 56/7 = 8

y/x = 96/12 = 8

Each time we get the same result 8, which is the constant of proportionality. The table does show a direct proportional relationship. The equation is y = 8x which is in the form y = kx. The k value is the constant of proportionality. So k = y/x.

6 0

3 years ago

the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.

wel

Answer:

$\sqrt{14}$

Step-by-step explanation:

In any square with side length $s$ , the diagonal of the square is equal to $s\sqrt{2}$ . Since the side length of this square is $\sqrt{7}$ , the diagonal is equal to $\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}$ .

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states $a^2+b^2=c^2$ , where $c$ is the hypotenuse of the triangle, and $a$ and $b$ are the two legs of the triangle.