Write the equation of a circle in standard form with diameter stack a b with bar on top. where a(7, 5) and b(-1, -1). for full credit, show your work.

ANSWER

EXPLANATION

The given circle has diameter A(7,5) and B(-1,-1).

The center of the circle is the midpoint of the diameter.

The midpoint is given by the formula:

We substitute the points to get

The radius of the circle is calculated using the center and any point on the circle.

We substitute the center and the radius into the standard equation of the circle.

Substitute the values to get,

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true