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Mathematics

1 answer:

I am Lyosha [343]3 years ago

6 0

Answer:

2x - 3y = 24

Step-by-step explanation:

You use the formula Ax ± By = C.

This is the standard linear equation form.

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Given that y varies directly with x in the table find the value of y if the value of x is 5

Sophie [7]

Answer:15

Step-by-step explanation:

I took the test

8 0

3 years ago

While waiting for a video game to download, you notice that

salantis [7]

Find out the how many kilobytes have been downloaded so far .
To prove
As given
While waiting for a video game to download.
notice that 30 percent of 32000 kilobytes have been downloaded so far .
30% is written in the decimal form.

= 0.30
kilobytes uses in downloaded = 0.30 × 32000
= 9600 kilobytes
Therefore 9600 kilobytes have been downloaded so far .

7 0

3 years ago

Help please? If you could answer both A and B that’d be great, but you can do only one if you want.

kati45 [8]

For a, this is just the median and the range of the data. Median is the middle number after all of them are in order, and the range is the highest number minus the smallest number.

If we arrange them all in order:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15

The middle ones are 8 and 9, because there is an even number of results. That means the median is 8.5.

The range is 15 - 2, which is 13.

For b, 21 is an outlier because it is outside the set of movies watched. If 21 was a value in the table, that means that the order is:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15, 21

Meaning that the middle value is now 9 (because of the odd number of values) and the range is 21 - 2, which is 19. The range would increase because the 21 is greater than all the other values (outlier), so the highest number is now 21. The median would also increase because you added a higher number to the list of numbers, so that the middle would shift one place higher.

Hope I helped!

5 0

4 years ago

What is the equation of the following graph?

boyakko [2]

Answer:

$\frac{(x-1)^2}{5^2} -\frac{(y-2)^2}{2^2} =1$

Step-by-step explanation:

Here you are require to find the equation of the hyperbola given that the center (h,k), the coordinates of the vertices and those of the co-vertices can be determined from the diagram given

The sharp turning points of the curves give the vertices at (-4,2) and (6,2)

Joining the vertices with a straight line will form the transverse axis with length 2a .

To find the length of the transverse axis 2a will be ; 6--4=10. 2a=10 hence a=10/2 =5

a=5

Find the center of the hyperbola at (h,k) by finding the intersecting point of the diagonals of the rectangle in the diagram

The center identified will be (h,k) = (1,2)

To find the length of the conjugate axis 2b will be ; the length between points (1,4) and (1,0) which are the coordinates of the co-vertices in the hyperbola. 2b= 4-0=4 , b=4/2 = 2

b=2

The standard equation of the hyperbola with center (h,k) is written as ;

$\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1$