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katrin [286]
3 years ago
11

Find RA, 90: (2,5) given that point A is located at (-3, -3).

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

The value of RA is " 9.43".

Step-by-step explanation:

In the given question there is some typing mistake so, the points are:

R =(2, 5)

A= (-3, -3)

Find:

RA= ? where it is a distance (D).

Formula:

D= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2} \\\\\ compare  \ the \ value \\\\x_1 = 2\\y_1=5\\x_2=-3\\y_2= -3

put the value in the formula:

\Rightarrow D =\sqrt{(-3-2)^2+(-3-5)^2} \\\\\Rightarrow D =\sqrt{(-5)^2+(-8)^2} \\\\\Rightarrow D =\sqrt{25+64} \\\\\Rightarrow D =\sqrt{89} \\\\\Rightarrow D = 9.43\\

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If you meant to write y=23x-4 then none of the lines are perpendicular.

I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.

For any line y=mx+b, you have to "invert" m to get  a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.

So 2/3 becomes -3/2, hence answer D.

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