Here, we are missing the slope and the y intercept.
Lets look for the y intercept first.
Where does it cross the y axis? At 3!!
3 is the y intercept.
Now, find the slope by using the slope formula.
(0,3) and (2,1)
m = 1-3/2-0 = -2/2 = -2/2 = -1
m = -1
Okay, so we found our slope, now just write the equation.
Answer: y = -1x + 3
Answer:1. y = 2x - 3
2. y= 2x + 3
3. y = -2x + 3
4. y = -2x - 3
Step-by-step explanation:
So, let's say that all the dogs had a number of x.
then 1/12 x were the Hound Group dogs.
then, out of the Hound Group,, that is 1/12 x, 3/10 were English Foxhounds.
For this, we need to multiply the fractions:
so of all the dogs at the show, the English Foxhunds were a 1/40 fraction,
Answer:
x2=−8(y−2)
Step-by-step explanation:
Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.
Let P(x,y) be the moving point on the parabola with
focus at S(h,k)= S(0,0)
& directrix at y= 4
Now,
|PS| = √(x-h)2 + (y-k)2
|PS| = √(x-0)2 + (y-0)2
|PS| = √ x2 + y2
Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0
- d= |ax +by + c|/ √a2 + b2
- d= |y-4|/ √0 + 1
- d= |y-4| units.
equation of parabola is:
- |PS| = d
- √ x2 + y2 = |y-4|
Squaring on both sides, we get:
- x2 + y2 = (y-4)2
- x2 + y2 = y2 -8y + 16
- x2 = - 8y + 16
- x2 = -8 ( y - 2)
This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.
