Answer:
120 baseball cards
Step-by-step explanation:
15 × 2 = 30
30 + 10 = 40
40 ÷ 1/3 = 40 × 3/1 = 120
Therefore there were 120 cards in the back
<em>I just did the inverse of each process starting from the last step and ending at the first</em>
Answer:
reflection
Step-by-step explanation:
it goes against the y axis
Answer:
You only want a 10% discount...
500 - 450 = 50
50/500 = 1/10 = .1 = 10%
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
