The reciprocal of 7 is 1/7, reciprocal of 8 is 1/8, and reciprocal of 9 is 1/9
Assuming this is some kind of modular question, maybe mod 17.
since 1+8+9=1, we can say that 8+9=0
therefore, 2+0=x, so x=2
SinB = cosC = AC / BC = 8/10 = 4/5;
tgB = ctg C = AC/AB = 8/6 = 4/3, because we use T. Pitagora for calculating AB;
sinC = cosB = AB/ BC = 6/10 = 3/5;
tgC = ctgB = AB/ AC = 6/8 = 3/4.
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
The expression we have is:
And we are given some values for x and y:
The first step will be to substitute the given values into the expression:
The next step is to solve 4^2 which is equal to 16:
And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:
Solving this final multiplication we get the result:
Answer: 512
