Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.
2 answers:
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Answer:
(x + 3)² + (y - 1)² = 80
Step-by-step explanation:
Circle equation: (x - h)² + (y - k)² = r²
We are given <em>h</em> and <em>k</em>, so we just plug that in:
(x + 3)² + (y - 1)² = r²
To find <em>r</em>, we need to use distance formula: between the center of the circle and the point on the circle. We should get √80 as <em>r</em>. We plug that in to get our answer:
(x + 3)² + (y - 1)² = 80
The equation of a line with slope 2/3 and point (0,2) is 3y - 2x = 6
The equation of a line is given as
m = slope
c = intercept
The data given are
- slope (m) = 2/3
- x = 0
- y = 2
Put in the values into the equation above and solve for the intercept.
Multiply through by 3
From the above calculation, the equation of a line is 3y - 2x = 6
Learn more about equation of a line here;