1. Warm Ups 1. Find the absolute value of -8 – 3i.
Saturday, August 03, 2019
1. Find the absolute value of -8 – 3i.
Write the expression as a complex number.
-3i + (4 + 3i) – (6 + 2i)
-2 -2i
3. Solve: x2 + 3 = -24
4. Solve by graphing: y = 2x2 + x + 3
No solution
How would you translate the graph of
y = x2 to produce the graph of y = x2 – 8?
Shift vertically downward 8 units

2. Daily Homework Quiz
For use after Day 1
Use these triangles for exercises 1- 4. 3.
Find d and e if c = 4. 1.
Find a if b = 2 10
ANSWER 10
ANSWER
d = 4 3
, e = 8 2.
Find b if a = 19 4. 3 50
Find c and d if e = .
ANSWER 2 19
ANSWER 3 25
c =
, d = 75

3. Daily Homework Quiz
For use after Day 1 5.
Find x, y and z.
ANSWER 3 2
x = 6
z =
y = ,

4. Special Right Triangles
Essential Question:
How do you use the properties of special right triangles to solve problems?
Saturday, August 03, 2019
Lesson 5.1B
M2 Unit 2: Day 2

5. Sketch the figure that is described. Find the requested length
Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth.
1. The side length of an equilateral triangle is 5 cm.
Find the length of an altitude of the triangle.

6. Sketch the figure that is described. Find the requested length
Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth.
You have a guitar pick that resembles an equilateral triangle. It has a perimeter of 96 mm. What is the approximate height of the pick?

7. Sketch the figure that is described. Find the requested length
Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth.
3. The perimeter of a square is 36 in.
Find the length of a diagonal.

8. Sketch the figure that is described. Find the requested length
Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth.
4. The diagonal of a square is 26 in.
Find the length of a side.

9. 5. A point on the edge of a symmetrical canyon is feet above a river that cuts through the canyon floor. The angle of depression from each side of the canyon to the canyon floor is 60°.
a) Find the distance across the canyon.
b) Find the length of the canyon wall (from the edge to the river).
c) Is it more or less than a mile across the canyon? (5280 feet 1 mile)
less

10. Draw a square and label the sides 90 feet.
6. A baseball diamond is a square. The distance from base to base is 90 feet. To the nearest foot, how far does the second baseman throw a ball to home plate?
Draw a square and label the sides 90 feet.
Label the bases.
2nd
1st
What is the length of the diagonal?
Home
3rd
The distance from second base to home plate is about 127 feet.

11. 7. A light pole is 30 ft high and is stabilized by a guy wire
7. A light pole is 30 ft high and is stabilized by a guy wire. A 30 degree angle is formed by the wire and the pole.
Find the length of the wire.
Find the distance from the base of the pole to the point where the wire meets the ground.
What is the angle measure formed by the wire and the ground?
34.6 ft.
30o h 30
17.3 ft.
60o b

12. 8. Billy plans to clean out the gutters at his house
8. Billy plans to clean out the gutters at his house. He leans a 12 foot ladder against the wall. The ladder forms a 45 degree angle with the wall.
How far is the bottom of the ladder from the bottom of the wall?
What is the angle formed at this point?
What type of triangle is formed?
8.5 ft
45o
45o-45o-90o

13. Homework:
page 155 # 1 – 14.