Completing the Square
2. Solve the equation by completing the square. Show your work.
x^2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)
Add 225 both sides of the equation
x^2 – 30x + 225 = –125
+ 225
x^2 - 30x + 225 = 100
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
x^2 - 30x + 225 = 100
Factor the left side of the equation:
(x - 15)^2 = 100
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
√(x - 15)^2 = √100
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
x - 15 = + - 10
x - 15 = 10
x = 25
x - 15 = -10
x = 5
Solutions x = 25, 5
Answer: y=1.4
1.4 x 85= 119
Step-by-step explanation:
- Do rise over run to get the answer on the graph and finding that Y is 1.4 then multiply to 85 and you will have 119
Similarity cannot he determined but I’m not sure
Answer:
d = 7.51 cm
θ = 60°
Step-by-step explanation:
The baffle used in the notch of a whistle is a triangular baffle (Isosceles triangle OAB).
For the isosceles triangle, the sides with equal dimension are OA and OB which is represented with d
d = the vertical component of the side of a triangle
It is given by
6.5cm = d sin60
d = 6.5/sin60
d = 7.505553499465134
d = 7.51 cm -------- Approximated
To calculate angle θ
Angle on a straight line is = 180
So, 60 + 60 + θ = 180
θ= 180 - 120
θ = 60°
(See attachments below)
