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3 years ago

Help me please for brainliest!

Mathematics

2 answers:

UkoKoshka [18]3 years ago

7 0

Answer:

1)option b

2)option a

Step-by-step explanation:

1) circumference = 62.8 in

=> 2πr= 62.8

=> r= 62.8/(2×3.14)= 10 in

diameter = 2×10 in = 20 in

2)diameter = 14m

radius = 7 m

Area of the circle= πr² =3.14(7)²=3.14×49

= 153.86

=153.9 m²

kirill115 [55]3 years ago

3 0

Answer:

Q1) B

Q2) A

Step-by-step explanation:

Q1) The equation for working out the circumference of a circle is 2 × π × r or π × d, but here we are asked to do the reverse so,

π × d = 62.8

d = 62.8 ÷ π

d = 19.9

So the answer to the Q1) is 20 inches

Q2) We have to work out the area of the circle so we utilise the formula

π × r² . We only have the diameter but we can half it to find the radius so

14 ÷ 2 = 7. So 7 is the radius, now we substitute into the formula π × r²

3.14 × 7² = 153.86

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Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

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3 years ago

Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.

jeyben [28]

Considering the given function and the asymptote concept, we have that:

The vertical asymptote is of x = 25.

The horizontal asymptote is of y = 5.

The end behavior is that as $x \rightarrow \infty, f(x) \rightarrow 5$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

$f(x) = \frac{5x}{x - 25}$ .

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5$ .

Hence the end behavior is that as $x \rightarrow \infty, f(x) \rightarrow 5$ .

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

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