Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC =
= 5,09902
BD =
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
Answer:
The answer is 4.
Step-by-step explanation:
1. find the factors of 16(1,2,4,4,8,16) and of 28(1,2,4,7,14,28)
2. find the highest factor of the two Factored #.(4)
3p - 6 > 21
3p >27
p > 9
Hope this helps!
If you divide $6.00 by 120, you come up with 5 cents per mile. So the slope of the line (m) would be 0.05, or 1/20.
We also know that it costs $40.00 at 100 miles, so when x=100, y=40. If you multiply 100 by 0.05 you get 5, which means the rate goes up $5.00 for every 100 miles. So if you take your original y=40 ($40.00 for 100 miles) and subtract 5, that means y=35 for 0 miles, and that gives you your zero-intercept (b).
So your equation would be y = 1/20x + 35
Now, if x = 300 miles, then
y= 1/20*300 + 35
y = 15 + 35
y = 50, therefore it would cost $50.00 to drive the rental car 300 miles.
Answer:
1. 2/9
2. 1/3
3. 112
Step-by-step explanation: