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Tasya [4]
3 years ago
11

A parabolà can be drawn given a focus of (7,9) and a

Mathematics
1 answer:
NeTakaya3 years ago
6 0

from the provided focus point and directrix, we can see that the focus point is above the directrix, meaning is a vertical parabola and is opening upwards, thus the squared variable will be the "x".

keeping in mind the vertex is half-way between these two fellows, Check the picture below.

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h = 7\\ k = 7\\ p = 2 \end{cases}\implies 4(2)(y-7)=(x-7)^2\implies 8(y-7)=(x-7)^2 \\\\\\ y-7=\cfrac{1}{8}(x-7)^2\implies \boxed{y=\cfrac{1}{8}(x-7)^2+7}

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In the past year Jenny watched 44 movies that she thought were very good. She watched 55 movies over the whole year. Of the movi
igomit [66]

To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.

44/55 = 44/11 / 55/11 = 4/5

Next, we can now easily divide our simplified fraction.

4/5 = 0.8

Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.

0.8 * 100 = 80%

Therefore, Jenny thinks that 80% of the movies she watched this year were very good.

Hope this helps!

7 0
3 years ago
An owner wants to discount his pizza from $15 to $14.25, how much percent does he need to discount?
IrinaVladis [17]

Answer:

5%

Step-by-step explanation:

Amount of money that is discounted

= $15 - $14.25

$0.75

Percentage that needed to be discount

=(0.75/15) * 100%

= 5%

Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.

3 0
3 years ago
Pretty pls help me with A and B with work SHOWN
-BARSIC- [3]
A.  11/30 x 50= 18/36=1/2

18/36 x 1/10= 5/100

B.    1,210 x 1.1= 1,331

I am not so sure about A, but I hope this helps a little.
7 0
3 years ago
If f(x) = 1 - 2x^3, find the inverse of f.
Artyom0805 [142]
Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

Change it up to x = 1-2y^3 and solve for y

X - 1 = - 2y^3

(X - 1)/-2 = y^3

So the cube root of ((x-1)/2) = y
7 0
3 years ago
Sam shot the basketball 15 times. 40% of his shots were made. How many shots did Sam make?
love history [14]

Answer:

6

Step-by-step explanation:

40% is equal to 40/100

He made 40% of 15 shots so you miltiply 15 by 40/100 which is equal to 6.

6 0
2 years ago
Read 2 more answers
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