you can see the distance between the intervals in the graph more easily because you can see how far the plots are away from each other by connecting the w/ lines. Ex you had 5 on a graph and you had 12 after it there is an interval of 8 in between so you can visually see how far apart the numbers area simple 2d xy line graph has only the possibility for 2 different variables (x and y).. for a 3 variable graph you would have to go into a 3d xyz graph with each variable as x, y and z. it is possible to fit a line to this but for an easier analysis it is better to analyse the variables in pairs. Hope this helps.
Answer:
10,38,43
Step-by-step explanation:
n+4n-2+5n-7=91
10n=91+2+7
10n=100
n=10
4(10)-2=38
5(10)-7=43
if anything is unclear, ask freely.
I think 6x3=18
So, the answer is 18
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = 
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
Pears: 30
Step-by-step explanation:
Constant:
3x + 5x + 2x = 150
10x = 150
x = 15
Multiply ratio with constant from above:
oranges : apples
3 * 15 : 5 * 15
45 : 75 ==> 45 oranges: 75 apples
pears : apples
2 * 15 : 5 * 15
30 : 75 ==> 30 pears: 75 apples
Check:
45 oranges + 75 apples + 30 pears = 150 fruits
