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3 years ago

A circle has a diameter with endpoints at (10,8) and (5,-4) what is the circumference of the circle

Mathematics

1 answer:

mel-nik [20]3 years ago

4 0

<u>Answer:</u>

The circumference of circle is 40.82 units.

<u>Explanation:</u>

The end points of diameter lie on circle. since the coordinates of end points of diameter may be evaluated using

d= $\sqrt{(10-5)^ 2-(8-(-4))^ 2}$

= $\sqrt{25+144}$

= $\sqrt{169}=13$

therefore d = 13 .

The formulae of circumference comprises the length of radius of circle, hence find the radius as half of diameter length r=d/2 = 13/2 = 6.5 ; circumference of circle = $2\pi r$

= 2x3.14xr

= 13x3.14 units.

=40.82 units

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3. Classify each function according to whether it is a vertical stretch, a vertical compression, a horizontal

Vladimir79 [104]

The classifications of the functions are

A vertical stretch --- p(x) = 4f(x)
A vertical compression --- g(x) = 0.65f(x)
A horizontal stretch --- k(x) = f(0.5x)
A horizontal compression --- h(x) = f(14x)

<h3>How to classify each function accordingly?</h3>

The categories of the functions are given as

A vertical stretch
A vertical compression
A horizontal stretch
A horizontal compression

The general rules of the above definitions are:

A vertical stretch --- g(x) = a f(x) if |a| > 1
A vertical compression --- g(x) = a f(x) if 0 < |a| < 1
A horizontal stretch --- g(x) = f(bx) if 0 < |b| < 1
A horizontal compression --- g(x) = f(bx) if |b| > 1

Using the above rules and highlights, we have the classifications of the functions to be

A vertical stretch --- p(x) = 4f(x)
A vertical compression --- g(x) = 0.65f(x)
A horizontal stretch --- k(x) = f(0.5x)
A horizontal compression --- h(x) = f(14x)

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brainly.com/question/1548871

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4 0

1 year ago

How to find if it is a function or not:

Leto [7]

Answer: It is not a function.

Step-by-step explanation:

A function is something that "eats" an input and transforms it into an output.

We write them as y = f(x)

Where x is the input, and y is the output.

Now, a function has an important rule, for each input x, the function can only "transform it" (or map it) into only one possible output.

This means that, for example, if we have, for x = x1.

And a single

f(x1) = y1

f(x1) = y2

where y1 and y2 are different values.

Then this is not a function, because it is mapping the value x1 into two different outputs.

In this case, we would have:

f(Z) = A.

So Z is the input, but we know that a ZIP code works for an entire city, and in a given city we have lots of different street addresses, then for a single value of the input, Z, we have a lot of possible values of the output.

This means taht the set (Z, A) can not represent a function.

6 0

3 years ago

A rental car company charges a base fee of $36.94 plus $0.60 per mile driven. If x represents the number of miles driven, which

Tom [10]

Answer: y=0.60x+36.94

To find the equation we just set y equal to the 0.60 cents times x miles plus the 36.94 base fee. Any questions just ask. Cheers

4 0

3 years ago

HELP 60 PTS Write ln⁡〖(a^2 b^3)/cd〗 in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.

Vinil7 [7]

Answer:

$\frac{(a*a)(b*b*b)}{c*d}$