Answer:
C
Step-by-step explanation:
Given the 2 equations
3x + 4y = 8 → (1)
y - 5x = 2 ← rewrite as
- 5x + y = 2 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
20x - 4y = - 8 → (3)
Add (1) and (3) term by term to eliminate y
23x + 0 = 0
23x = 0 , then
x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (1)
3(0) + 4y = 8
4y = 8 ( divide both sides by 4 )
y = 2
solution is (0, 2 )
That is the lines intersect once at (0, 2 )
Answer:
-i
Step-by-step explanation:
(-i)^0 = 1
(-i)^1 = -i
(-i)^2 = -1
(-i)^3 = -i
(-i)^4 = 1
(-i)^5 = -i
etc.
From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.
213 = 4 * 53 + 1
213 is 1 more than a multiple of 4.
(-i)^213 = (-i)^1 = -i
Answer:
19.38 Months, so 1.6 years
Step-by-step explanation:
6.5% compounded monthly is $325 a month (5,300*.065) so if you subtract 11,300-5,000 you get $6,300. You divide that by 325 and you get 19.38 (months) divide that by 12 months and you get 1.6 (years)
9/18 because that is equal to 1/2