Sum of infinite series of a GS is a1 / (1-r)
so here it is 65 / (1 - 1/6) = 65 / 5/6 = 65*6 / 5 = 78 answer
I think The answer is d 10cm hope this helped
2x-y=8...(1)
x+y=7....(2)
from (2)
y=7-x....(3)
put (3) into (1)
2x-(7-x)=8
2x-7+x=8
2x+x=8+7
3x=15
x=5.....(4)
put (4) into (2)
x+y=7
5+y=7
y=7-5
y=2
Hope it helps c:
Simplify √-y to √yi
3+ 2y = √yi
Square bot sides
(3 + 2y)^2 = -y
Expand
9 + 12y + 4y^2 = -y
Move all terms to one side
9 + 12y + 4y^2 + y = 0
Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2
9 + 13y + 4y^2 = 0
Split the second term in 9 + 13y + 4y^2 into two terms
4y^2 + 9y + 4y + 9 = 0
Factor out common terms in the first two terms, then in the last two terms
y(4y + 9) + (4y + 9) = 0
Factor out the common term 4y + 9
(4y + 9)(y + 1) = 0
Solve for y
y = -9/4, -1
Check solution
when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.
Therefore,
<u>y = -1</u>
Answer:
4.5 + pi (3.14) is a rational because it is a terminating decimal. irrational because it is a non-terminating and non-repeating decimal.
hope this helped!