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:
Step-by-step explanation:
The Inverse of the matrix doesn't exist because the determinant is equal to 0.
The random variable is the number of cars held up at the intersection.
A random variable is one whose value is aleatory, then you can not know anticipatedly the outcome for sure. In this case, the number of cars held up at the intersection may be different at any time inside the range given and you cannot know the number of cars that there will be in a future moment.
Answer:
95%
Step-by-step explanation:
133/140 = 0.95
0.95 x 100 = 95%
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
1) Find m(the slope of the equation):
Since the slope-intercept form is already given, then you can obtain the slope from it by using y = mx + b
m=5
2) Substitute the given point into the point-slope form y - y1 = m(x - x1)
y-(-13) = 5(x - (-2))
y + 13 = 5(x + 2)