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3 years ago

The diameter of a table is 5 feet. What is the circumference

Mathematics

1 answer:

gulaghasi [49]3 years ago

6 0

if the diameter is 5, then its radius is half that, or 2.5.

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies C=2\pi (2.5)\implies C=5\pi \implies C\approx 15.71$

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3 years ago

Let f(x) = x2 − 2x − 3. The secant line through (2, f(2)) and (2 + h, f(2 + h)) for f(x) has slope h + 2. Use this formula to co

Mkey [24]

Answer:

a) slope of secant line = 3

b) slope of tangent line = 2

Step-by-step explanation:

Given:

- The function:

f(x) = x^2 -2*x - 3

- The slope for f(x) @ x = 2 is:

slope = h + 2

Find:

a) The slope of the secant line through (2, f(2)) and (3, f(3))

b) The slope of the tangent line at x = 2

Solution:

- Since we are given the slope of the line computed via secant method. All we need to do is evaluate the slope given for respective question.

- The slope of secant line between points ( 2 , f(2) ) and ( 3 , f(3) ) is:

slope = h + 2

Where, h is the step size between two points. h = 3 - 2 = 1

slope = 1 + 2 = 3

Hence, the slope of the secant is 3.

- The slope of tangent line @ points ( 2 , f(2) ) is:

slope = Lim _ h-->0 (h + 2)

Where, h step size is reduced to infinitesimal small number. Hence, h = 0

slope = 0 + 2 = 2

Hence, the slope of the tangent is 2.

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4 years ago

In the 7th grade, 132 students take Spanish as an elective. If there are 330 seventh graders, what percent of

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Answer:

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3 years ago

Read 2 more answers

adoni [48]

Answer:

The solution set is (5,6).

Step-by-step explanation:

Given equations are:

-6x + 6y= 6 Eqn 1

-6x + 3y=-12 Eqn 2

Subtracting Eqn 2 from Eqn 1

(-6x+6y)-(-6x+3y)= 6-(-12)

-6x+6y+6x-3y=6+12

3y = 18

Dividing both sides by 3

$\frac{3y}{3}=\frac{18}{3}\\y=6$

Putting y=6 in Eqn 1

-6x+6(6)=6

-6x+36=6

-6x=6-36

-6x=-30

$\frac{-6x}{-6}=\frac{-30}{-6}\\x=5$

Hence,

The solution set is (5,6).

8 0

3 years ago