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shtirl [24]
4 years ago
8

PLEASE HELP 20 POINTS!

Mathematics
1 answer:
butalik [34]4 years ago
6 0

Hello!

The radius of a circle is a line from the center of the circle to any point on the circumference of the circle. Also, all radii in a circle will be the same length.

Since the distance from A to B is 5 inches, and line AB is a radius, line AD is also a radius and its distance must be 5 inches.

Therefore, the distance from line A to B is 5 inches.

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Simplify - 1/2 - (-3/4)
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Explanation

Step 1

break the parenthesis:

to do that, multiply the signs,

\begin{gathered} -\cdot-=\text{ +} \\ so \end{gathered}\begin{gathered} -\frac{1}{2}-(-\frac{3}{4}) \\ -\frac{1}{2}-(-\frac{3}{4})=-\frac{1}{2}+\frac{3}{4} \\ -\frac{1}{2}+\frac{3}{4} \end{gathered}

Step 2

now, add / subtract the fractions:

remember.

\frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm bc}{bd}

so

\begin{gathered} -\frac{1}{2}+\frac{3}{4} \\ \frac{3}{4}-\frac{1}{2}=\frac{3\cdot2-1\cdot4}{4\cdot2}=\frac{6-4}{8}=\frac{2}{8}=\frac{1}{4} \\ -\frac{1}{2}+\frac{3}{4}=\frac{1}{4} \end{gathered}

therefore,

\begin{gathered} -\frac{1}{2}-(-\frac{3}{4})=\frac{1}{4} \\  \end{gathered}

so,the answer is

\frac{1}{4}

I hope this helps you

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