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3 years ago

5

You and your friend are saving money to buy bicycles that cost $175 each. You have $45 to start and save an additional $5 each w

eek. The graph shows the amount y (in dollars) that your friend has after x weeks. Who can buy a bicycle first?
(NEED A JUSTIFIED ANSWER)

1 answer:

Damm [24]3 years ago

8 0

Step-by-step explanation:

we need the graph to answer!!

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3 years ago

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

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Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

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