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2 years ago

Write the formula of the area of a circle

Mathematics

1 answer:

Lunna [17]2 years ago

3 0

A = π × r2

Hope this helped!

-Akito

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C. Beverly

Step-by-step explanation:

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3 years ago

Does the graph represent a function? Khan Academy

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yes

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try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function

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What is the present value of $4,900 per year at a discount rate of 10 percent if the first payment is received 6 years from now

Nesterboy [21]

Answer:

17640

Step-by-step explanation:

at a discount of 10% per year $4900 is equal to $490 per year

payment started 6 years ago from now and ended 20 years from now

therefore there is an accumulation of 26 years

for 26 years = 26 *$490= $12740

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3 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

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2 hours is how long it would take

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