C -21= 41 What is the solution for this equation?

Mathematics

2 answers:

Oksanka [162]3 years ago

5 0

Answer:

C = 61 ist true? İ think is true

lbvjy [14]3 years ago

4 0

Answer:

C = 62

Step-by-step explanation:

To find the solution of this equation, we have to solve for C. To do this we need to isolate C on one side of the equation:

C - 21 = 41

C - 21 + 21 = 41 + 21

C = 62

The value of C is 62.

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Find the center of the circle that you can circumscribe about DABC.

Vlada [557]

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

A circle can be modelled after a expression of the form:

$A\cdot x + B\cdot y + C =-x^{2}-y^{2}$ (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that $(x_{1}, y_{1}) = (2, 8)$ , $(x_{2}, y_{2}) = (0, 8)$ and $(x_{3}, y_{3}) = (2, 2)$ , then the solution of the system of linear equations is:

$2\cdot A + 8\cdot B + C = -68$ (2)

$8\cdot B + C = -64$ (3)

$2\cdot A + 2\cdot B + C = -8$ (4)

$A = -2, B = -10, C = 16$

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

$x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0$