Answer:
the answer is 172
Step-by-step explanation:
Answer:
y²=4√2.x
Step-by-step explanation:
The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.
The distance between the focus and the directrix of the parabola P is
=
{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by 
}
Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax
{Since the parabola has vertical directrix}
Hence, the distance between focus and the directrix is 2a = , {Two parabolas are congruent when the distances between their focus and the directrix are same}
⇒ a=√2
Therefore, the equation of the parabola is y²=4√2.x (Answer)
Answer:
x = -1
Step-by-step explanation:
<u>Step 1: Distribute</u>
-5(x + 2) = -(-5x + 1) - x
-5x - 10 = 5x - 1 - x
<em>-5x - 10 = 4x - 1</em>
<em />
<u>Step 2: Solve for x</u>
-5x - 10 + 5x = 4x - 1 + 5x
-10 + 1 = 9x - 1 + 1
-9 / 9 = 9x / 9
<em>-1 = x</em>
<em />
Answer: x = -1
<u>Answer</u>
12 units
<u>Explanation</u>
This can be solved using the properties of a circle.
DG and EG are secants f the circle.
DG×HG =EG×FG
(x+3+5)×5 = (x+6)×6
(x+8)5 = 6x + 36
5x +40 = 6x + 36
x = 4
DG = (x+3+5)
= 4 + 3 + 5
= 12 units
So taking this as if there are 13 dozens of cookies. First we do 13 times 12 which would be 156 cookies in total. Then 156 cookies times 2.08 is 324.48
