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Contact [7]
3 years ago
9

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

Mathematics
1 answer:
dalvyx [7]3 years ago
6 0
<h3>Answer: Yes we have a direct proportional relationship</h3><h3>constant of proportionality = 8</h3>

equation is y = 8x

=============================================

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.

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The area for this is 48.

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Given sin x = 4/5 and cos = 3/5<br> What is the ratio for tan x?
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4/3

Step-by-step explanation:

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4 years ago
Point A located at -11 and -7 on the coordinate plan is reflected over the X axis to form point B.Then point B is reflected over
Diano4ka-milaya [45]

Answer:

<em>The coordinates of B are (-11,7)</em>

<em>The coordinates of C are (11,7)</em>

Step-by-step explanation:

<u>Reflection of Points</u>

Given a point (x,y), it can be reflected in several ways. Two of the most-used are reflection over the x-axis and reflection over the y-axis.

When the point is reflected over the x-axis, the x-coordinate is unchanged, and the y-coordinate is inverted: (x,y) -> (x,-y).

When the point is reflected over the y-axis, the y-coordinate is unchanged, and the x-coordinate is inverted: (x,y) -> (-x,y).

Point A is located at (-11,-7). It's reflected over the x-axis to form point B whose coordinates are (-11,7).

Then, point B is reflected over the y-axis to form point C with coordinates (11,7).

The coordinates of B are (-11,7)

The coordinates of C are (11,7)

7 0
3 years ago
Find x, y and z for the following triangle. ​<br>Please show the steps with details, Thanks!
Lubov Fominskaja [6]

Answer:

x = 100°

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Step-by-step explanation:

A straight line is 180°

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Y: 180 - 55 = 125

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3 years ago
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