Circle P has a diameter with endpoints at (-4, 3) and (1,6). Find the center of the circle.

(-3/2, 9/2)

Step-by-step explanation:

Midpoint formula (x1 + x2)/2, (y1 + y2)/2 would be your best way to go. Because you have been given the diameter of the circle with end points, you can just find the middle of those 2 points to find your center. Remember the diameter goes through the center of the circle and is not a chord, so:

(-4 + 1)/2 for x

(3 + 6)/2 for y

Simplify and put into coordinates, you get:

(-1.5, 4.5)

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c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.