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Mathematics

1 answer:

Sladkaya [172]2 years ago

6 0

Answer:

801 metres

Step-by-step explanation:

To find the distance we must firstly find the circumference of the wheel;

⇒ $C = \pi d = \pi (85) = 85\pi cm$

If the wheel made 300 full revolutions, then we multiply the circumference by 300;

⇒ $d = 300(85\pi ) = 25500\pi$

We can now convert this to decimal to give our distance cm. Therefore we must then divide our answer by 100 to get the distance in metres;

⇒ $d = 25500\pi = 80111cm = 801m$

Hope this helps! :D

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Determine another point on the line given two points on the line. (-2, 9), (2, -1)

Gnom [1K]

Answer:

(4,-6)

Step-by-step explanation:

1) First, let's find the slope of the line between the two points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the x and y values of (-2,9) and (2,-1) into it, then solve:

$m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}$

So, the slope of the line is $-\frac{5}{2}$ .

2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is $\frac{rise}{run}$ . So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).