The circle below is centered at the point (4,1) and has a radius of length 2.
1 answer:
Option C: (x-4)^2+(y-1)^2 = 4 is the right answer
Step-by-step explanation:
Given
Center = (h,k) = (4,1)
Radius = r = 2
The equation of circle in standard form is:
Putting the values of h, k and r
Hence,
Option C: (x-4)^2+(y-1)^2 = 4 is the right answer
Keywords: Equation of circle
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Answer:
(x, y, z) = (-4, 2, 1)
Step-by-step explanation:
See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.
The [x, y, z] result vector is the column on the right.
(x, y, z) = (-4, 2, 1)
_____
Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.
Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
