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:
Therefore the Equation and missing value is
.............Equation for the Diagram
Step-by-step explanation:
Given:
Let Label the Diagram such that
To Find:
Equation =?
x = ?
Solution:
Here Total Length is given in Two Parts
For a Line A-B-C
..............Line Addition Property
Substituting the values we get
...Equation for the Diagram
Therefore the Equation and missing value is
...Equation for the Diagram
Answer:
-5
Step-by-step explanation:
The equation to find the slope between two points is y₂-y₁/x₂-x₁.
In this case that would be 0-20/4-0 which simplifies into -20/4=-5
So your slope is -5
Answer:
The difference between the sample percentage and the population percentage is likely to be less than 4 percent
Step-by-step explanation:
The margin error is the difference between the values of the sample analyzed and the actual population. In reality, the result of the sample analyzed will be different from the actual result. This can be due to approximation error or human error. However, the difference in the two results should not be more than the allowable limit.
