Answer: 1) Vertex: (6, -2) Focus: (6, -7/4) Directrix: y = -9/4
2) Vertex: (-2, -1) Focus: (-7/4, -1) Directrix: x = -9/4
<u>Step-by-step explanation:</u>
Rewrite the equation in vertex format y = a(x - h)² + k or x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.
- (h, k) is the vertex
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix

1) y = x² - 12x + 34


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2) x = y² + 2y - 1


Factor out cosx: cosx(sinx-2)=0
cosx=0 or sinx-2=0
cosx=0 or sinx=2
the largest value of sinx is 1, sinx will never be 2, so cosx=0, x=π/2 or 3π/2 are the two answers.
Past due balance = $87.50
Late fee = 15% of $87.50 = 0.15*87.50 = $13.125
New charges = $75.00
New total = 87.50 + 13.125 + 75 = $175.625
Answer: The new total is $175.63
Take 47,000/12
12 months in a year = $3917
$3917.00 is what he would take home every month before taxes of course.
Answer:
<h2>M(-a, b)</h2>
Step-by-step explanation:
Use the formula of a midpoint:

We have the points P(-2a, 0) and Q(0, 2b). Substitute:
