Answer:
1/6
Step-by-step explanation:
1/2 + 1/3 = 5/6
1/5 of 5/6 = 5/30
5/30 can be simplified as 1/6.
1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula
to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer:
.
Answer:nothin much
Step-by-step explanation:
Answer:
Step-by-step explanation:
The inequality y - x < -3 should be solved for y, as follows:
Add x to both sides, obtaining:
y < x - 3
Note that this y < x - 3 has the form y = mx + b, which represents a straight line. In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.
Because y < x - 3 involves the inequality symbol <, draw a dashed line, not a solid line. The solution set consists of all points on the graph BELOW this dashed line y < x - 3.
Answer:

Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference
we have

Let



The common difference is 
We can write an Arithmetic Sequence as a rule

where
a_n is the nth term
d is the common difference
a_1 is the first term
n is the number of terms
Find the 63rd term of the arithmetic sequence
we have

substitute



