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Rina8888 [55]
3 years ago
9

A line passes through point (-2,5) and has a slope of 2/3. Points A (x,3) and B (-2,y) lie on on the line.

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
Have you attempted to graph the line

Remember *rise / run*
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Find the distance between the following points using the Pythagorean theorem: (-5, 4) and (8, -3)
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First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\  \\ =\sqrt{(8--5)^2+(-3-4)^2} \\  \\ =\sqrt{(13)^2+(-7)^2} \\  \\ =\sqrt{169+49} \\  \\ =\sqrt{218} \\  \\ \approx14.7648... \end{gathered}

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.

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Step-by-step explanation:

Give examples to explain the properties of real numbers

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Jeff uses 3 fifth size strips to model 3/5 he wants to use tenth size strips to model an equivalent fraction how many tenth size
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