Answer:
14.18 units & 4.88 units
Step-by-step explanation:
The right triangle in this problem is shown in the attached image.
Using trigonometry, the adjacent leg would be 15 Cos 19°
and the opposite leg would be 15 Sin 19°
Thus,
one leg is 15 Cos 19 = 14.18 units, and
another leg is 15 Sin 19 = 4.88 units
Answer:
use points (0,5) and (1,7)
see below for graph
Step-by-step explanation:
First, we'll turn the equation from point slope form (y-y1=m(x-x1)) into slope intercept form (y=mx+b)
y+1=2(x+3)
do the distributive property
y+1=2x+6
subtract 1 from both sides
y=2x+5
We'll need two points to graph the line.
You can subsitute x or y as any number you like and solve the equation.
For example:
if x=0:
y=2(0)+5
y=5
so the point would be (0,5)
and if x=1
y=2(1)+5
y=2+5
y=7
point: (1,7)
Use the points (0,5) and (1,7)
See below if you would like to see how it looks like on a graph.
Hope this helps!
Answer: it will take them 4 hours to be 640 kilometers apart.
Step-by-step explanation:
Let t represent the time it will take for both trains to be 640 kilometers apart. It means that the total distance that both trains will covered in t hours is 640 kilometers.
Distance = speed × time
A train leaves Little Rock Arkansas and travels north at 75 kilometers per hour. Distance covered after t hours would be 75 × t = 75t
Another train leaves at the same time and travels south at 85 kilometers per hour. Distance covered after t hours would be 85 × t = 85t
Since the total distance covered is 640 kilometers, then
75t + 85t = 640
160t = 649
t = 640/160
t = 4 hours
Answer:
32
Step-by-step explanation:
Answer:
x^3-x^2-11x+15
Step-by-step explanation: