Determine the approximate minor arc length of CD.

Step-by-step explanation:

CB is the Hypotenuse of the right-angled triangle CDB.

Pythagoras :

CB² = 20² + 21² = 400 + 441 = 841

CB = sqrt(841) = 29

=> radius = 29/2 = 14.5

the total circumference of the circle (360 degrees) is

2×pi×r = 29×pi

but here we need only the part of the circumference for 180-70= 110 degrees.

CD arc = 29×pi × 110 / 360 = 29×pi×11/36 =

= 27.83800157 ≈ 27.84 cm

(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

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step-by-step explanation:

should you really be posting this isn't math boi.