Acircle has a diameter of 26 units. what is the area of the circle to the nearest hundreths of the square units?

A = 530.66 units^2

Step-by-step explanation:

Area of a circle is given by

A = pi * r^2

The radius is 1/2 of the diameter

r = d/2

r =26/2

r =13

Now we can find the area

A = pi * (13)^2

A = 169 pi

We can approximate pi by 3.14

A = 169(3.14)

A =530.66

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3