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stepan [7]
3 years ago
6

What is the constant of proportionality?

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:  B) 18

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

Explanation:

x = number of packs of yogurt (column 1)

y = number of ounces of yogurt (column 2)

To get the constant of proportionality k, we divide y over x

k = y/x

k = 36/2 = 18 .... from row 1

k = 54/3 = 18 ... from row 2

k = 90/5 = 18 .... from row 3

This k = 18 value means that each time x goes up by 1, the value of y goes up by 18. This is the slope of the line y = 18x, so it represents the rate of change.

Put another way: 1 pack of yogurt is 18 ounces

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Please use statemnet reasoning!
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Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO <u>congruent</u> angle EWN Vertical Angles

angle OHW <u>congruent</u> angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

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No. Angle 1 is an obtuse angle while angle 2 is an acute angle. obtuse angles are more than 90 degrees, which is more than an acute angle's less than 90 degrees.

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6. Jessica bought a new suitcase. The sales tax was 4.5%. If the amount of
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Answer:

$ 154

Step-by-step explanation

Let the value of suitcase=x

x × 4.5% = 6.93 (converted the question into equation)

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x = 6.93 x \frac{100}{4.5} (took reciprocal of 4.5/100 after moving it to the other side of the equation)

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Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical express
ruslelena [56]

Answer:

The answer is

<h2>\sqrt{85}  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

d =  \sqrt{( { - 1 - 8})^{2}  +  ({ - 7 + 9})^{2} }  \\  =  \sqrt{ ({  - 9})^{2} +  {2}^{2}  }  \\  =  \sqrt{81 + 4}

We have the final answer as

\sqrt{85}  \:  \:  \: units

Hope this helps you

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3 years ago
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