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3 years ago

13

Selena rides her bicycle to work. It takes her 15 minutes to go 3 miles. If she continues at the same rate, how long will it tak

e her to go 8 miles?

1 answer:

Paha777 [63]3 years ago

7 0

It would take her 40 minutes because 15 divided by 3 is 5 so 8 times 5 would get 40

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Benji walks 1/3 miles in 10 minutes how far will he travel in one hour?

vitfil [10]

So 1/3 miles in 10 minutes
an hour is 60 minutes
to see how much he walks in a minute you divide
1/3 / 10
so he walks 1/30 miles per minute
now to see how much in an hour
1/30 * 60
that is 2
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3 years ago

Write the standard equation of a circle having endpoints of a diameter at (-1, 6) and (9,-8).

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Answer:

$r ^{2} = (x-4)^2 + (y+1)^{2}$

Given:

endpoints at (-1, 6) and (9, -8)

Solve for:

the standard equation of a circle having endpoints of a diameter at (-1, 6) and (9,-8).

Step-by-step explanation:

$d=\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1})^2}$

$d=\sqrt{(9-(-1))^2+(-8-6)^2}$

$d=\sqrt{10^2+-14^2}$

$d=\sqrt{100+196}$

$d=\sqrt{296}$

$d=2\sqrt{74}$

$r=\frac{d}{2}$

$r=\frac{2\sqrt{74} }{2}$

$r=\sqrt{74}$

$Center = (\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2})$

$= (\frac{-1+9}{2}, \frac{6+(-8)}{2} )$

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$Center = (4,-1) \\and\\r = \sqrt{74}$

Equation:

$(\sqrt{74}) ^{2} = (x-4)^2 + (y+1)^{2}$

$r ^{2} = (x-4)^2 + (y+1)^{2}$

*This took forever so I hoped it helped lol*

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