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
Step-by-step explanation:
Given that,
The length of the shelf = 24 inches
The width of the shelf = 7 inches
Area of the shelf, A = 24 × 7
= 168 inch²
When the width of the shelf is doubles,
New width = 14 inch
New area, A' = 14×24
= 336 inch²
It means,
A' = 2(A)
So, the new area becomes 336 inch² i.e. twice the initial area.
Solve for r.
You want to get r by itself on one side on the equal sign.
bh + hr = 25
Subtract bh from both sides.
hr = 25 - bh
Divide h on both sides.
r = 25 - bh / h
The two h's cancel each other out.
r = 25 - b
Hope this helps!
It will be 1 of the 100block
5 of the tens block and 2 single
Answer: 20+44=64
32+56=88
88+64=$152
Step-by-step explanation:
