Distance from the point (x,y) to the focus = distance of (x,y) from the directrix
so we have
sqrt [(x - 2)^2 + y2] = 12 + y
squaring both sides
x^2 - 4x + 4 + y^2 = 144 + 24y + y^2
x^2 - 4x + 4 = 144 + 24y
24y = x^2 -4x - 140
y = x^2/24 - x/6 - 35/6 is the required equation
0.05 x 30 = 1.5
0.15 x 70 = 10.5
0.004 x 100 = 0.4
3r/5 -21/5=1
3r-21=5
3r=26
r= 26/3
Length = 6.25 feet
Your dad is designing a new garden for your
backyard. He has 20 feet of fencing to go
around the garden.
Let the width is X.
Length is 2 1/2 feet longer than the width i.e. (×+2 1/2) = (×+2.5) feet Perimeter = 20 feet
2(1+b) = 20
(I+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015,
thus the exponential growth function of this situation is:
y=8000(1.015)ˣ
b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
y=8,878.76
Answer: $8,878.76
