Answer:
- A. Slope = -2, y-intercept = 2/3
Step-by-step explanation:
<u>Convert the given equation into slope-intercept form:</u>
- 3(y - 2) + 6(x + 1) - 2 = 0
- 3y - 6 + 6x + 6 - 2 = 0
- 3y + 6x - 2 = 0
- 3y = - 6x + 2
- y = - 2x + 2/3
The slope is -2, the y-intercept is 2/3
Correct choice is A
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
Answer:
I think 3+×37p I think it the answer
This can be expressed by,
80 + 40 + 20 + 10 = 150
