Answer:
5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?
6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
18/3=6
6/ -2/6
=6* 6/-2
=-18
Answer:
L.S = R.S ⇒ Proved down
Step-by-step explanation:
Let us revise some rules in trigonometry
- sin²α + cos²α = 1
- sin2α = 2 sin α cosα
- cscα = 1/sinα
To solve the question let us find the simplest form of the right side and the left side, then show that they are equal
∵ L.S = csc2α + 1
→ By using the 3rd rule above
∴ L.S =
+ 1
→ Change 1 to 
∴ L.S =
+ 
→ The denominators are equal, then add the numerators
∴ L.S = 
∵ R. S =
∵ (sinα + cosα)² = sin²α + 2 sinα cosα + cos²α
∴ (sinα + cosα)² = sin²α + cos²α + 2 sinα cosα
→ By using the 1st rule above, equate sin²α + cos²α by 1
∴ (sinα + cosα)² = 1 + 2 sinα cosα
→ By using the 2nd rule above, equate 2 sinα cosα by sin2α
∴ (sinα + cosα)² = 1 + sin2α
→ Substitute it in the R.S above
∴ R. S = 
∵ L.S = R.S
∴ csc 2α + 1 =
A. There is one solution. The solution is where the lines intersect. Because both are linear and do not have the same slope, they will only cross once.
B. The solution is (3,4) since this is the coordinate at which the two lines intersect.
Answer:66
Step-by-step explanation:
an=21+5n
ninth term is a9
a9=21+5x9
a9=21+45
a9=66