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Chapter 8: Q25. (page 415)

Find the distance between the pair of points with the given coordinates1,-14and-6,10.

Short Answer

Expert verified

The distance between the given pair of points is25units.

Step by step solution

01

Step 1. Write down the given information.

The given pair of points have coordinates 1,-14and-6,10.

02

Step 2. Concept used.

If a line segment has end-points at x1,y1andx2,y2 then the distanced between these points is given as:

d=x2鈭�x12+y2鈭�y12....1

03

Step 3. Calculation.

The distance dbetween the pair of points with given coordinates 1,-14and-6,10 is evaluated using the formula (1) stated above.

d=x2鈭�x12+y2鈭�y12=鈭�6鈭�12+10+142=鈭�72+242=25units
04

Step 4. Conclusion.

The distance between the given pair of points is 25units.

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Most popular questions from this chapter

For Exercises 45 and 46, use the following information. You can use midpoints and slope to describe some transformations. Suppose point A is the image when point A is reflected over the line with equationy=x.

What is the slope of AA'炉? Explain.

Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the given equation y=2x+72+3. Then find the length of latus rectum and graph the parabola.

Use the equation x=3y2+4y+1 to find the x-intercept.

Use the equation x=3y2+4y+1 to find the coordinates of the vertex.

CRITICAL THNKING

Verify the Midpoint Formula. (Hint: You must show that

the formula gives the coordinates of a point on the line through the given

endpoints and that the point is equidistant from the endpoints.)
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