Answer:
slope(m) = y2 -y1/ x2 - x1
m = -1 - 2/ 2 - 1
m = -3/1 ; m = -3
using the formula y -y1 = m(x - x1)
y - 2 = -3( x -1)
y -2 = -3x +3
collect like terms
3 +2 = y + 3x
y + 3x = 5
y = -3x + 5( y = mx + c)
equation of the line= y = -3x + 5
Answer:
3) 124
Step-by-step explanation:
a1 = 10
a2 = a1+6 = 10+6 = 16
a3 = a2+6 = a1+6+6 = a1 + 2×6 = 22
a4 = a3+6 = a2+6+6 = a1+6+6+6 = a1 + 3×6 = 28
...
=>
an = an-1 + 6 = a1 + 6(n-1)
=>
a20 = a1 + 6(20-1) = 10 + 6×19 = 10+114 = 124
Answer:
C) 2+7i is the correct answer.
Step-by-step explanation:
simplify by combining the real and imaginary parts of each expression. in this question, the variable i represents an imaginary number.
The larger box is 5x bigger than the smaller one.
Let the time taken by Vince to complete the race was x hours.
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury:
Distance = 16(x - 1.5)
For Vince:
Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6
This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
