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Today Review for Today’s Test Review Yesterday’s Topic Take Radical Test #1 May 13

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Today

Review for Today’s Test

Review Yesterday’s Topic Take Radical Test #1

May 13

Warm-Up

Test Review: Radical Operations: (4)

B C

Version 3 #4

The distance between A and B is

| | | | | | | | | | | | | |

-5 4

A B

| -5 – 4 | = | -9 | = 9

Remember: Distance is always positive

A

B

The Distance Formula Is Derived From The Pythagorean Formula

6

15

6² + 15² = C²

𝟐𝟔𝟏 = C

As you can see, the shortest distance between two points is...

A straight line; 16.16 < 21

Distance Formula

Dist. = ( x2 - x1 )² + ( y2 - y1 )²

Remember the order ( x , y )

All answers are positive

Find the distance between the two points on the graph.

The Distance Formula:

What is the distance along the x axis?

What is the distance along the y axis?

Let's first use the P.T. to find the distance: a2 + b2 = c2

Now, let's use the distance formula....

Find the distance between:

( 3 – 8 )² + ( 6 - 10 )²

( -5 )² + ( -4 )²

25 + 16

41 = 6.40

( 8 – 3 )² + ( 10 – 6 )²

( 5 )² + ( 4 )²

25 + 16

41 =6.40

( 3 , 6 ) and ( 8 , 10 )Find the distance between:

( 8 , 10 ) and ( 3 , 6 )

Find the distance between the two points

(x1,y1) (x2, y2)

Find the distance of the line.

(x1, y1) (x2, y2)

Find the distance between:

Class Work:

See Handout

Review Graphingy

x

( 0,0 )

Origin

Positive

Negative

Order ( X,Y )Quadrant

I

Quadrant

II

Quadrant

III

Quadrant

IV

Khan Academy: Radical Equations