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Find both points on the line y = 3 that are 10 units from (3, -3).

User Mattweyant
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Final answer:

To find the points on the line y = 3 that are 10 units from (3, -3), we can use the distance formula. The two points are (11, 3) and (-5, 3).

Step-by-step explanation:

To find the points on the line y = 3 that are 10 units from (3, -3), we can use the distance formula. Let's call the x-coordinate of the points we're looking for as x. The distance formula is given by:

d = sqrt((x - 3)^2 + (3 - (-3))^2)

Substituting the values into the formula, we have:

10 = sqrt((x - 3)^2 + 36)

Squaring both sides of the equation:

100 = (x - 3)^2 + 36

Expanding and simplifying:

64 = (x - 3)^2

Taking the square root of both sides:

x - 3 = ±8

Solving for x:

x = 11 or x = -5

Therefore, the two points on the line y = 3 that are 10 units from (3, -3) are (11, 3) and (-5, 3).

User Taohidul Islam
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