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Chapter 1: Q12 (page 10)

Find the value of the variable.

45a=鈭�20

Short Answer

Expert verified

The value of the variable is a=-25.

Step by step solution

01

Step 1. Multiply by 54.

To find the value of variable a in the equation 45a=-20, multiply both sides of the equation by 54.

54脳45a=54脳鈭�20

02

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 4 and 5 on both sides.

a=鈭�54脳4脳5=鈭�25

03

Step 3. Verify the value.

In order to verify the value of a, substitute -25 for into the equation 45a=鈭�20.

45脳鈭�25=鈭�20鈭�20=鈭�20True

Hence, the value of the variable is a=-25.

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Most popular questions from this chapter

In Exercises 5-11 you will have to visualize certain lines and planes not shown in the diagram of the box. When you name a plane, name it by using four points, no three of which are collinear.

Write the postulate that assures you that AC鈫�exists.

Points R,S andT are non collinear points.

  1. State the postulate that guarantees the existence of a plane X that contains R,S and T.
  2. Draw a diagram showing planeX containing the non collinear points R,S and T.
  3. Suppose thatP is any point ofRS鈫� other thanR and S. Does pointP lie in plane X? Explain.
  4. State the postulate that guarantees thatTP鈫� exists.
  5. State the postulate that guarantees thatTP鈫� is in plane X.

Draw two points P, Q on a sheet of paper. Fold the paper so that fold line f contain both P, Q. Unfold the paper. Now fold so that P falls on Q. Call the second fold g. Lay the paper flat and label the intersection of f and g as X. How are points P, Q and X? Explain.

For the following coordinates of two points on a number line, state the distance between the points 2 and -6.

State how many points meet the requirements. For the answer write none, one, or an unlimited number.

OnBC鈫� and equidistant from points A and B.
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