Answer:
Step-by-step explanation:
430
x4%
_________
$17.20+ $430= $447.20
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
Answer is in the attachment below. If you have any questions about the workings, just leave a comment below.
Steps:
1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.
2. 2 times 4 equals 8, 2 times 3 equals 6
3. 35 3/4 now becomes 35 6/8
4. your new problem is 35 6/8 - 1/8
5. 6 -1= 5
6. your answer is 35 5/8
The rock's height is increasing in the interval from 0 seconds to 3 seconds.
At time 0 the rock starts moving upward from 52 foot until it reachs 180 foot height (time 3 seconds). Then the rock starts to descend, which means that the height starts to decrease.
