Answer: 
On a keyboard you would type sqrt(41)
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Work Shown:
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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.
The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.
The distance formula is an altered version of the Pythagorean theorem.
Answer:
We need to demontrate
As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.
<h3>Therorem.</h3>
<em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>
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Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.
Therefore, based on the inscribed angle arc theorem, we have
Answer:
8.4
Step-by-step explanation:
d=√(x2-x1)+(y2-y1)
d-√ (-1-(-7))^2+(-1-(-7))^2
d=√ (-1+7)^2+(-1+7)^2
d=√ (6)^2+6^2
d=√ 36+36
d=√ 72
d=6√ 2=8.4852
d=8.4
