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True [87]
4 years ago
10

Which linear function shows a direct variation?

Mathematics
1 answer:
tankabanditka [31]4 years ago
4 0

Answer:

D. Graph D

Step-by-step explanation:D. Graph D

Step-by-step explanation:

We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.

That is, if one variable changes, the other variable also changes in proportion to the first variable.

The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.

Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.

Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.

Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.

Hence, the linear function in Graph D shows a direct proportion.

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Which of the following is most likely the next step in the series?​
DedPeter [7]

Answer:

D

Step-by-step explanation:

It's a repeating pattern

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3 years ago
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Each side of a square family room is 6 meters long. What is the family room's area?
Temka [501]

Answer:

36

Step-by-step explanation:

since the formula for a square is length times width, and that is 6 x 6 which is 36

Plz mark as brainliest

6 0
3 years ago
In AABC, MLA = 53, m4C = 84, and side a = 8 inches. Find the length of side b to the nearest tenth of an inch.
Cerrena [4.2K]

Answer:

6.8 inches

Step-by-step explanation:

Given data :

m∠ A = 53°  ,  m∠ C = 84° , side a = 8 inches

therefor m ∠ B = ( 180 - (84 + 53 )) = 43°

<u>Find the length of side b </u>

we will apply sine rule here

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

= \frac{8}{sin53}  = \frac{b}{sin43}

∴ b = ( sin43° * 8 ) / sin53°

      = ( 0.6819 * 8 ) / 0.7986

      = 5.4552 / 0.7986 = 6.83 ≈ 6.8 inches

8 0
3 years ago
A football match began at 4:15 and finished at 5:45 how long did the football match last​
Bad White [126]

Answer:

1 hour and 30 minutes

Step-by-step explanation:

There is 1 hour between 4 and 5

30 minutes between 15 and 45

3 0
3 years ago
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The nominal level of data describes what type of information? Multiple choice question. Observations of a quantitative variable
iren [92.7K]

Answer:

Observations of a qualitative variable that can only be classified and counted.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. Ordinal : data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. Nominal : is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

Hence, the nominal level of data describes observations of a qualitative variable that can only be classified and counted.

For example, an end of year stock classification (high yield, medium yield, or low yield) for a business firm is a nominal level of measurement because they are categorized or classified. Also, this type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

5 0
3 years ago
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