Step-by-step explanation:
- blue one ====> 3x+16 =9x+4 ( alternate angles)
>9x-3x=16-4
>6x=12
>x=2.
- white one ====> 10x-2=9x+5 (corresponding angle)
>10x-9x=5+2
>x=7.
- green one ====>8x+10=6x+30(vertically opposite angle)
>8x-6x=30-10
>2x=20
>x=10.
hope this helps you.
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
5<span>×</span>10^-7 = 0.0000005
When 10 is to a negative power, you move the decimal to the left because the number is less than positive 1. Here 10 is to the power of -7, so you move the decimal (which is after/behind 5) to the left 7 times.
Lets find that out writing equations and solving them, a multiple of 1/6 is something like this (1/6)x, so we have
(1/6)x > 3/6
and
<span>(1/6)y < 4/6
</span>lets solve both equations:
<span>(1/6)x > 3/6
</span>x > 6(3/6)
x > 3
<span>(1/6)y < 4/6
</span>y < 6(4/6)
y < 4
So the number must be between 3 and 4, which is obvious, lets try with 3.5 then, that is 3 5/10 or 35/10 = 7/2 in fractional form, and lets try it out:
(1/6)(7/2) = 7/12
finally we compare with the original fractions:
1/6 < 7/12
2/12 < 7/12
So, it comply with being greater than 1/6, now lets compare with 4/6
7/12 < 4/6
<span>7/12 < 8/12
</span>therefore is also smaller than 4/6 and hence 7/12 is a multiple of 1/6 between 3/6 and 4/6
Answer:
6:00 AM
Step-by-step explanation:
London is 9 hours behind Tokyo, so it is still 6:00 AM in London when it is 3:00 PM in Tokyo.
