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3 years ago

What is the length of bd

Mathematics

1 answer:

NikAS [45]3 years ago

3 0

Answer:

Step-by-step explanation:

I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.

We need to find the positive difference in their x coordinates and y coordinates.

The difference in x coordinates: 7

The difference in y coordinates: 8

Now we can use the Pythagorean theorem:

7^2+8^2 = x^2

49+64 = x^2

113 = x^2

x = sqrt(113)

Therefore, the answer is B.

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Determine if the table shows a linear or an exponential function

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Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

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Answer:

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2 years ago

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Answer:

Yes it is showing a function

Step-by-step explanation:

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3 years ago

What's 2/8 divided by 5/16 simplified in fraction form?

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