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3 years ago

What is the equation of the following graph?

Mathematics

1 answer:

vivado [14]3 years ago

5 0

From the diagram, Vertex =(2,3)

So, (h,k)=(2,3)

So, h=2 and k=3

The equation of parabola is

$(x-h)^{2}=4p(y-k)$

p is the distance of directrix or focus from vertex.

As directrix is

y=8=k-p=3-p

So, 8=3-p

Let, us subtract 3 from both sides, we get

8-3=3-3-p

5=-p

or p=-5

So, h=2,k=3 and p=-5

So, the equation of parabola is

$(x-2)^{2}$ =4(-5)(y-3)

Equation of graph is

(x-2)^2=-20(y-3)

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What is the mean and median of 4,9,26,20,23,0,37??

yan [13]

Answer: Hello, The mean is is 17 and the median is 20

Step-by-step explanation: The mean is a type of average. It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. ... That is the mean. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

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2 years ago

Read 2 more answers

Burka [1]

Answer:

Step-by-step explanation:

$F \alpha \frac{1}{d^{2} }$

$F = \frac{K}{d^{2} }$

When F = 18; d = 2

$18 = \frac{K}{2^{2} }$

$18 = \frac{K}{4}$

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and $d^{2}$ is

$F = \frac{72}{d}$

Now, Find F when d = 6

All you do is to substitute d = 6 in to $F = \frac{72}{d}$

$F = \frac{72}{6}$

Therefore;

F = 12

Please mark me brainiest if correct.

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2 years ago

Translate the word phrase into a math expression.

viktelen [127]

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2 years ago

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The difference of the range and the interquartile range of the data set represented by the box plot is

Varvara68 [4.7K]

Answer:

$R - IQR = 10$

Step-by-step explanation:

The interquartile range is IQR is:

$IQR = Q_3 -Q_1$

Where:

$Q_3$ = third quartile

$Q_1$ = first quartile

So the interquartile range is the difference between the highest quartile and the lowest quartile. In other words, it is the width of the box in the diagram.

So:

$IQR = 29 -21\\IQR = 8$