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andre [41]
3 years ago
13

What is the equation of the quadratic graph with a focus of (2, 0) and a directrix of y = −12?

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0
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
You might be interested in
what is an equation in slope intercept form for the line that passes through the points (1,-3) and (3,1)
Ede4ka [16]
Y=2x-5.
I found the slope using the formula m=y2-y1/x2-x1.
m=-3-1/1-3=-4/-2=2.

I used (3,1) (only use one point, your choice) to find out b. 3=x, 1=y.
y=mx+b is the formula for slope intercept equations, so I plugged in the x and y.
1=2(3)+b; 1=6+b, subtract 6 on both sides and get -5=b.
I used the information to get y=2x-5.
Hope this isn’t too confusing! :)
6 0
3 years ago
Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the
docker41 [41]

Answer:

64

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

= 64 coupons

8 0
3 years ago
Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would
Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

56656.04 = \pi {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{56656.04}{\pi}

Find the square root of both sides

r =  \sqrt{ \frac{56656.04}{\pi} }

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

3 0
3 years ago
How can the scaling of a line graph be used to mislead a reader?
Anna [14]
Misleading may be present even t<span>hough all graphs may share the same data, and even the </span>slope<span> of the </span><span>data is the same. If the way the data is plotted is not correct, it can change the visual appearance of the angle made by the line on the graph. This is so because each plot has different scales on its vertical axis. As the scales are not correctly shown then there is where the misleading appears.</span>
5 0
3 years ago
What is the name of the property given below ? If ab = 0 then a = 0 , b = 0 or both a = 0 and b = 0 . A. Zero property B. Distri
FromTheMoon [43]

Answer:

c. zero product rule

Step-by-step explanation:

apex

3 0
3 years ago
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