Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
Answer:
11 pizzas, 5/7 left
Step-by-step explanation:
to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over
(13 + 20) + 15 = 13 + (20 + 15)
Answer:
6/1000
Step-by-step explanation:
.0006 times 10,000
Answer: The equation of the parabola is
.
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,

Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,

On comparing,

.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),


Put this value in (1).

Put p= -6, h= -5 and k=1 in the standard form of the parabola.


Therefore, the equation of parabola is
.