Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7

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Presentation transcript:

Warm up r = -3 k = -3 x = 2 1. 12 – 6r = 2r + 36 2. 3k – 5 = 7k + 7 Solve 1. 12 – 6r = 2r + 36 2. 3k – 5 = 7k + 7 3. 2(x + 4) = 6x r = -3 k = -3 x = 2

The Distance Formula

D = 3.16 Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths. D = 3.16

Example Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths. D = 50

3. Find the distance between the points. Round to the nearest tenths. 3.6

4. Find the distance between the points. Round to the nearest tenths. 3.2

Pythagorean Theorem

Pythagorean Theorem Word Problems Ashley travels 42 miles east, then 19 miles south. How far is Ashley from the starting point? Round to the nearest tenths. x = 46.1 miles

Pythagorean Theorem Word Problems A square has a diagonal with length of 20 cm. What is the measure of each side? Round to the nearest tenths. x = 14.1 cm

Pythagorean Theorem Word Problems What is the length of the altitude of an equilateral triangle if a side is 12 cm? Round to the nearest tenths. x = 10.4 cm

Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s. Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

Midpoint Formula

(.5, 5.5) (5.5, 6) Find the midpoint. 1. (3, 7) and (-2, 4)

(8.5, 3.5) (2.5, 13) Find the midpoint. (3, -9) and (14, 16)

If M is the midpoint of AB, find B. A(-4,10) and M(8,6) 5. (20, 2)

Find the midpoint. 6. (1.5, 4)