It cant be 7 because,
X-7>3
7-7>3
0>3
And 0 is not bigger than 3
It cant be 9 because,
X-7>3
9-7>3
2>3
And 2 is not bigger than 3
So it is 11 because,
X-7>3
11-7>3
4>3
And 4 is bigger than 3
So the answer is 3) 11
In mathematics, every integer is a rational number, hence a whole number 8 can be written as 8/1. 1/3 x 8 = 8/3 in fraction form. 1/3 x 8 = 2.6667 in decimal form.
Step-by-step explanation:
[(-3 × 2 × (-4)] ÷ [-6 × 12]
[3 × 2 × -4] ÷ [-6 × 12]
[6 × -4]/[-6 × 12]
-4/(-1 × 12]
-4/-12
⅓
Option A is wrong
Option B is wrong -9/-18 = ½ not ⅓
Option C is correct = -24/-72 = ⅓
Option D is wrong = 9/-18 = -½ not ⅓
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
