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


Answer:
39
Work:
(x+5)/2=22
We will reverse this equation.
We will start by moving the 2 through inverse operations.
22x2=44
Now we have the equation
x+5=44
We will subtract 5
44-5=39
x=39
the unknown variable equals 39
Kali had 39 CDs on Monday
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where m = slope, and (x1, y1) is a point on the line.
We have point (-2, -13), so x1 = -2, and y1 = -13.
We also have slope 5, so m = 5.
Now we use the coordinates of the given point and the slope in the point-slope equation.
y - (-13) = 5(x - (-2))
We simplify to get
y + 13 = 5(x + 2)
If my calculations are correct the answer is cut your answer in half
Answer:
b = 
Step-by-step explanation:
Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.
Thus, to determine the value of b;
Sin θ = 
Sin b = 
= 
= 0.38462
⇒ b =
0.38462
= 22.6202
b = 
The measure of angle E (= b) is
.
=