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Zanzabum
3 years ago
6

10. Solve the system of equations 3y + 2z = 12 and y – z = 9. A. y = 6, z = –3 B. y = 24, z = 15 C. y = 6, z = 15 D. y = –6, z =

15
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0
3y + 2z = 12
Now you just try every answer until you get the right one.
A) y=6 z=-3
3×6 + 2×(-3) =18 -6=12
This is CORRECT
B) y=24 z=15
3×24 + 2×15= 72 + 30 =102
This is INCORRECT
C) y=6 z=15
3×6 + 2×15=18+30=48
This is INCORRECT
D)y=-6 z=15
3×(-6) + 2×15 = -18 + 30 = 12
This is CORRECT
So the correct answers are A and D
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Step-by-step explanation:

How is the circumference of a circle related to its radius?

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In brief,

\text{Circumference} = 2\pi\times \text{Radius}.

For this question,

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Divide both sides of the equation by 2\pi:

\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}.

\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14.

In other words, the radius of this circle is 14 inches.

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The value of y in the triangle will be illustrated thus:

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