Answer:
1/5
Step-by-step explanation:
The original is 2/10 but simplified it is 1/5
Answer: x = 5/7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/3 (x + 1) + 2x = 2
(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)
1/3x + 1/3 + 2x = 2
(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)
7/3x + 1/3 = 2
Step 2: Subtract 1/3 from both sides.
7/3x + 1/3 - 1/3 = 2 - 1/3
7/3x = 5/3
Step 3: Multiply both sides by 3/7.
(3/7) * (7/3x) = (3/7) * (5/3)
Answer: x = 5/7
Answer:
2nd choice
Step-by-step explanation:
Answer:
i
Step-by-step explanation:
The pattern is as follows
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
Following this pattern, i^45 = i.
Answer:
y = −3x − 23
Step-by-step explanation:
The equation of the line in the slope-intercept form is y= x/3 + 6.
The slope of the perpendicular line is negative inverse: m = −3.
So, the equation of the perpendicular line is y = −3x + a.
To find a, we use the fact that the line should pass through the given point:
−2 = (−3) ⋅ (−7) + a.
Thus, a = −23.
Therefore, the equation of the line is y = −3x − 23.
Answer: y =−3x − 23
