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trapecia [35]
3 years ago
6

Write ordered pairs of integers that satisfy the criteria in each part below. Remember that the origin is the point whose coordi

nates are (0, 0). When possible, give ordered pairs such that (i) both coordinates are positive, (ii) both coordinates are negative, and (iii) the coordinates have opposite signs in either order.
a. These points’ vertical distance from the origin is twice their horizontal distance.
b. These points’ horizontal distance from the origin is two units more than the vertical distance.
c. These points’ horizontal and vertical distances from the origin are equal, but only one coordinate is positive.
Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

a. These points’ vertical distance from the origin is twice their horizontal distance.

both coordinates positive A(2,4)

both coordinates negative B (-2,-4)

opposite signs case 1:  C (2,-4)

opposite signs case 2: D (-2,4)

b. These points’ horizontal distance from the origin is two units more than the vertical distance

both coordinates positive A(4,2)

both coordinates negative B (-4,-2)

opposite signs case 1:  C (4,-2)

opposite signs case 2: D (-4,2)

c. These points’ horizontal and vertical distances from the origin are equal, but only one coordinate is positive.

Case 1 x coordinate negative

A (-5,5)

Case 2 y coordinate negative

B (3,-3)

Step-by-step explanation:

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You could still divide by 2

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3 years ago
What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above t
Darina [25.2K]

You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

<h3>How to know what does 1.3 residual value mean?</h3>

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

Learn more about line of best fit here:

brainly.com/question/2396661

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Answer:

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Step-by-step explanation:

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Sveta_85 [38]
For the answer to the question above, I've used my calculator to inverse your given equation because my brain can't do that.
The answer to your question is
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Simplify, picture attached
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Step-by-step explanation:

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