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Ulleksa [173]
3 years ago
9

7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.​

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.​

We can find y using formula of finding slope of a line.

The formula is: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=3, y_1=5, x_2=2, y_2=y and Slope = 3

Putting values and finding y

Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2

So, we get value of y: y = 2

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\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\  \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\  \\ 500\pi+\frac{125\piα}{72}=625\pi \\  \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi  \\  \\ \frac{125\pi α}{72}=125\pi  \\  \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi  \\  \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\  \\ α=72^{\circ} \\  \\  \end{gathered}

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