Answer:
Step-by-step explanation:
Given
Required
Find x
To do this, I will assume 
.
So, we have:
Collect Like Terms
Divide by -2
2x+3x+x+9 = ??
5x+x+9 = ??
6x+9= ??
6x = -9 ---- subtract 9 on both sides
x = - 3/2 ----- didvide by 6 on both sides, simplify
120
OA = OB
angle OAN = 90 degrees, so OAB and OBA is both 30 degrees.
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
