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Arada [10]
3 years ago
12

Find all points having an x-coordinate of 5 whose distance from the point (2, 6) is 5

Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

The points are (5,2) and (5,10)

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(2,6)\ and\ (5,y)\\d=5\ units

substitute in the formula

5=\sqrt{(y-6)^{2}+(5-2)^{2}}

solve for y

5=\sqrt{(y-6)^{2}+(3)^{2}}

5=\sqrt{(y-6)^{2}+9  

squared both sides

25=(y-6)^{2}+9  

(y-6)^{2}=25-9

(y-6)^{2}=16

square root both sides

(y-6)=\pm4  

y=6\pm4

so

y=6+4=10

y=6-4=2

therefore

The points are (5,2) and (5,10)

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Question 6
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¶

+

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¶

i.

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