Let P(x,y) be a point on the parabola. The definition of a parabola is the squared distance from P to focus F(2,2) equals the squared distance to the directrix x=8.
squared distance from P(x,y) to focus F(2,2)
(x - 2)² + (y - 2)²
squared distance from P(x,y) to the directrix x=8.
(x-8)²
Those are equal in a parabola,
(x - 2)² + (y - 2)² = (x-8)²
x² - 4x + 4 + y² - 4y + 4 = x² - 16x + 64
y² - 4y - 46 = -12x
That's a sideways parabola,
x = -(y² - 4y - 46)/12
Answer:
1)-n-5m
2)-13n+10m+6mn
Step-by-step explanation:
1) (6n-7n)-5m= -n-5m
2)(n-7n-7n)+(2m+2m+6m)+6mn= -13n+10m+6mn
Answer:
96cm3
Step-by-step explanation:
formula is
v=1/3×area of the base×height
area of base which is a square=l×l
which is equal to 6×6=36
therefore
v=1/3×(6×6)×8
=96cm3
I hope it helps
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
when the hawk reaches the rabbit the value of h is equal to zero
we have
substitute
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
<span>Two other points on this line would be (4,3) and (1,5).</span>