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svp [43]
4 years ago
8

Triangle inequality theorem

Mathematics
1 answer:
Lapatulllka [165]4 years ago
6 0
Triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side because if not you don't have a triangle.
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Which choice is equivalent to the quotient below when -2<=x<2
Arlecino [84]

The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).

<h3>Which choice is equivalent to the quotient?</h3>

According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;

√(4-x²)/√(2-x) = √(4-x²)/(2-x)

Hence, the numerator can be evaluated by difference of two squares where;

(4-x²) = (2-x)(2+x)

Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).

Read more on difference of two squares;

brainly.com/question/3189867

#SPJ1

4 0
2 years ago
A dilation centered at the origin is applied to the line y = 3x + 5.
SOVA2 [1]

Answer:

"The question cannot be answered without knowing the scale factor."

Step-by-step explanation:

<u>The complete question:</u>

<em>A dilation centered at the origin is applied to the line y = 3x + 5.  What is true about the image of the line?</em>

  • <em>It is the same line. </em>
  • <em> It is another line parallel to y = 3x + 5. </em>
  • <em> The image is not a line. </em>
  • <em> The question cannot be answered without knowing the scale factor.</em>

<em />

A dilation, center at origin, with a scale factor of "k", will have a rule:

(x,y) = (kx,ky)

This basically means that the image after dilation will have the points kx and ky respectively.

If k ≠ 1, this means the image is parallel to the line y = 3x + 5

If k = 1, this means the image is same, it coincides with the line y = 3x + 5

<u><em>Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.</em></u>

<em />

<em />

8 0
3 years ago
Read 2 more answers
What combination of variables could you analyze using correlation?
Anon25 [30]

Answer:

YOu have to add them i think

Step-by-step explanation:

First add the 3-4 and then finish it

3 0
3 years ago
Graph the funtion f(x) - -3x + 6
scoundrel [369]

Answer:

The y intercept is 6 and the slope is -3.

Please see the attached graph.

6 0
4 years ago
Chec<br> Match each data relationship with a type of correlation.
AleksandrR [38]

I've attached an image showing the data relationship.

Answer:

1) y does not change based on changes in x: no-correlation

2) y tends to increase as x increases: positive correlation

3) y tends to decrease as x increases: negative correlation

Step-by-step explanation:

1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.

2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.

3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.

5 0
3 years ago
Read 2 more answers
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