Answer:
d^2 = 12^2 + 5^2 = 169
d = 13
r = d/2 = 6.5
A = pi·6.5^2 = 132.73 cm²
1. Yes, angles a and b have a common vertex (starting point) and a common side (the line between angle a and b). They do not overlap.
2. No, angles a and b share a common vertex but not a common side.
3. No. Same as above.
4. Yes, anlges a and b share a common vertex and side.
which of these story problems describes the sum 19 + (-12)? check all that apply. show your work to justify your answer.
1
2. is the right answer
3
ivied the total number of tennis balls buy the number of cans to see how many tennis balls are in 1 can
9 divided by 3 = 3
there are 3 tennis balls per can
fraction would be 3/1 ( meaning 3 balls to 1 can)
Use Multiplication Distribute Property: (xy)^a = x^ay^a
6^2(x^-2)^2(0.5x)^4
Simplify 6^2 to 36
36(x^-2)^2(0.5x)^4
Use this rule: (x^a)^b = x^ab
36x^-4(0.5x)^4
Use the Negative Power Rule: x^-a = 1/x^a
36 × 1/x^4(0.5x)^4
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
36 × 1/x^4 × 0.5^4x^4
Simplify 0.5^4 to 0.0625
36 × 1/x^4 × 0.0625x^4
Simplify
2.25x^4/x^4
Cancel x^4
<u>2.25</u>