No solution because the lines are parallel.
Answer:
40
Step-by-step explanation:
1. multiply all terms by the same value to eliminate fraction denominators (n times 5/8 = n times 25/n)
2. cancel multiplied terms that are in the denominator (n times 5/8 = 25
3.re order terms so constants are on the left (5/8n =25)
4. combine multiplied terms into a single fraction (5n/8 = 25)
5. multiply all terms by the same value to eliminate fraction denominators (8 times 5n/8 = 8 times 25)
6. cancel multiplied terms that are in the denominator (5n=8 times 25)
7. multiply the numbers (5n = 8 times 25 5n= 200)
8. simplify (n=40)
Begin with cos(θ) = 5/13, θ in Quadrant IV
you should distinguish the 5-12-13 right-angled triangle
and then cosØ = adjacent/hypotenuse
x = 5, r = 13 , y = -12, since Ø is in IV
and sinØ = -12/13
also tan(ϕ) = −√15 = -√15/1 = y/x and ϕ is in II,
y = √15 , x = -1
r^2 = x^2 + y^2 = 15+1 = 16
r = 4
sinϕ = √15/4 , cosϕ = -1/4
you must know that:
cos(θ − ϕ) = cosθcosϕ + sinθsinϕ
= (5/13)(-1/4) + (-12/13)(√15/4)
= -5/52 - 12√15/52
= (-5-12√15)/52
It looks like the first thing you have to find is their GCF, ya reckon ?
The factors of 56 are 1, 2, 4, 7, 8, 13, 28, and 56 .
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64 .
The common factors are 1, 2, 4, and 8 .
The greatest one is 8 .
56/8 = 7
64/8 = 8
56 plus 64 = (8 times 7) plus (8 times 8)
<span>56 plus 64 = </span><u>8 times (7 plus 8)</u><span> <== that's the answer</span>
Check it out:
<span>56 plus 64 = </span><u>120</u>
<span>8 times (7 plus 8) = 8 times 15 = </span><u>120</u><span> </span>
