Find the area and the circumference of a circle with radius 5m.

Mathematics

1 answer:

irga5000 [103]4 years ago

4 0

Answer:

A≈78.54m²

Step-by-step explanation:

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An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3, -2). Find the other endpoint.

Dimas [21]

Answer:

(-8,1)

Step-by-step explanation:

Using the equation for midpoints we can find:

$\frac{(5+y)}{2} =3, \frac{(4+x)}{2} =-2$

$y+5=6, 4+x=-4$

$y=1, x=-8$

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(-8,1)

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3 years ago

On a number line, what is the difference between -61.5 and -23.4?

Mamont248 [21]

Answer:

-38.1

Step-by-step explanation:

-61.5 - -23.4

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3 years ago

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Whats the parallel equation of y=1/3x-2 goes through point (0,6)

loris [4]

You know that two lines are parallel if they have the same slope, so the new line will also have slope

$m=\frac{1}{3}$

Because the equation of the given line is written in the form

$\begin{gathered} y=mx+b \\ \text{Where} \\ m\colon\text{slope of the line} \\ b\colon\text{ y-intercept} \end{gathered}$

Then, you can use point slope equation, which is

$\begin{gathered} y-y_1=m(x_{}-x_1) \\ \text{Where} \\ (x_1,y_1)\colon\text{ point through which the line passes.} \\ m\colon\text{slope of the line} \end{gathered}$

So,

$\begin{gathered} (x_1,y_1)=(0,6) \\ \text{ And you have} \\ y-y_1=m(x_{}-x_1) \\ y-6=\frac{1}{3}(x-0) \\ y-6=\frac{1}{3}x-0 \\ y-6=\frac{1}{3}x \\ \text{ Add 6 to both sides of the equation} \\ y-6+6=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}$

Therefore, the equation of the line that is parallel to y=1/3x-2 and goes through point (0,6) is