Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has
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Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
Answer:
or
Step-by-step explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to
we have the ordered pairs
(3,-5) and (1,-9)
substitute the values
step 2
Find the equation in point slope form
Analyze two cases
<em>First case</em>
we have
substitute
<em>Second case</em>
we have
substitute
Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form