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2 years ago

A cyclist rode a distance of 38 miles in 4 hours. Find the speed of the cyclist.

Mathematics

2 answers:

Afina-wow [57]2 years ago

4 0

Answer:

9.5

Step-by-step explanation:

To find the speed of the cyclist, we have to do rate (or speed) = distance/time

r=d/t

So we simply do 38/4 which gets you 9.5

The cyclist is traveling at a rate of 9.5 miles per hour

Let me know if you have any questions

Simora [160]2 years ago

3 0

Answer:

9.5

Step-by-step explanation:

Since he did 38 miles in 4 hours, we need to divide it by 4 to find mph. 38/4 = 9.5

therefore, his speed his 9.5 mph

I hope this helped, and if my answer was right, please mark this answer as brainliest! Thank you!

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C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

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Which means that correct answer is C.

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