Answer:
a=3
Step-by-step explanation:
Three or more lines in a plane are said to be concurrent if they intersect at a single point.
First find the point of intersection of lines y=x+4 and 2y+x=2. Substitute y=x+4 into the second equation:
2(x+4)+x=2
2x+8+x=2
2x+x=2-8
3x=-6
x=-2
Then
y=-2+4=2
So, the point of intersection is (-2,2). The coordinates of this point must satisfy the equation of the third line, thus
2=a·(-2)+8
2=-2a+8
2a=8-2
2a=6
a=3
18m/3hrs = 6m/hr
Multiply the rate by the time:
(6m/hr)(3/4hr)
6 time 3/4 gives you 4.5, or 9/2; the hours cancel, leaving you with:
4.5 miles, or as a fraction 9/2 miles, or, as a mixed number, 4 1/2 miles. (whichever way they want it.)
Hope this helps!
The relation of t as in to what?
Answer:
114
Step-by-step explanation:
If you use the hint you get...
1st term is -102
Common difference is 4
Desired term is 55
Therefore....
-102 + 4(55-1)
-102 + 4(54)
-102 + 216
114