Start by y-k=m(x-h)
m= 3
k=2
h=1
so y-2=3(x-1)
distribute
y=3x-3+2
final answer: y=3x-1
According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
<h3>What is the equation of the circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, we have that the center is at point (0,2), hence:

It goes through point (3,3), hence:


Hence, the equation is:

<h3>What is the equation of the tangent line at point W?</h3>
It is given by:

Applying implicit differentiation, we have that:


Point W(3,3), hence:


Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
More can be learned about the equation of a tangent line at brainly.com/question/8174665
<u>Answer</u>
The first student was right.
The length of the long side is at least 13 inches.
<u>Explanation</u>
The perimeter of any figure is the distance all round.
Perimeter of a rectangle = 2(l+w). Where l is length and w is the width.
2(l + w) ≥ 30
2{(x-3) + 2} ≥ 30
2(x-3+2) = 30
2(x - 1) ≥ 30
x - 1 ≥ 15
x ≥ 16
When x = 16,
l = 16-3
= 13 inches
The length of the long side is 13 inches. The first student was right.
Answer:
it should be 8 and 5, the first one