168 prime numbers exist between 1-1000.
The work is actually unrelated to math, so I won't bother posting the explanation. However, I can give some detail as to how I did it. If you know how to program, you can set up a simple for loop for all numbers 1-1000, and have a check function that checks if the number is prime or not.
Knowing it has to be perpendicular, the slope of the new line has to be -2.
y = -2x + b
Plug the coordinate pair into the equation.
10 = -2(7) + b
10 = -14 + b
24 = b
So the final equation for the line is...
y = -2x + 24
Answer:
Base = 4.62m, Height = 6.93m
Step-by-step explanation:
I worked through the black first, then went to the blue.
Answer:
(4,5).
Step-by-step explanation:
The solution to a system of equations that is graphed is when the two lines intersect. They intersect at (4,5), so the solution to the system is (4,5). Hope this helps!