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s344n2d4d5 [400]
3 years ago
11

Use substitution method to solve the system of equations. 2x+5x=132y-3x=5​

Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0

Answer:

x=3/7  y=37/7

Step-by-step explanation:

7x=13 x=13/7

2y-3*13/7=5

14y-39=35

14y=74

y=74/14=37/7

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Answer:

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Each piece of candy weighs one eight pound. If Donna buys 15 pieces of candy how many pounds of candy will she buy.
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3 years ago
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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

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The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

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