1. the equation of a circle is (x + 4)2 + (y – 6)2 = 48
what is the center of the circle?

what is its radius (round to the nearest tenth)?

Center of circle = (-4,6)

Radius = 6.9

Step-by-step explanation:

Formula of a circle:

Center of circle = (a, b)

Radius= c

Your question is:

a= - 4 because - (-4) will only equal to 4

b= 6 because - (6) will only equal to - 6

If (a, b) is the center of the circle, thus (-4,6) is the center of the circle.

To find the radius.

If c = radius.

Note: Please use a calculator when finding the radius.

Thus to the nearest tenth

c= 6.9

Thus the radius is 6.9

m∠a is 90°

m∠b is 40°

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