If you would like to solve y = x - 4 and 2 * x + y = 5, you can do this using the following steps:
y = x - 4
2 * x + y = 5
_____________
2 * x + (x - 4) = 5
2 * x + x = 5 + 4
3 * x = 9 /3
x = 9 / 3
x = 3
y = x - 4 = 3 - 4 = -1
The correct result would be x = 3 and y = -1.
Sorry if it’s wrong but I think it’s like that
Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)
This sequence is represented as:
a(n+1) = 5 + 11n
So for 19th term, a(19) = 5 + 11*(19-1) = 203
