Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
3.33 and 1/3
Step-by-step explanation:
"Dense" here means that there are infinite irrational numbers between two rational numbers. Also, there are infinite rational numbers between two rational numbers. That's the meaning of dense. Actually, that can be apply to all real numbers, there always is gonna be a number between other two.
But, to demonstrate that irrationals are dense, we have to based on an interval with rational limits, because the theorem about dense sets is about rationals, and the dense irrational set is a deduction from it. That's why the best option is 2, because that's an interval with rational limits.
Answer:
Step-by-step explanation:
<u>Given</u>
(x -1)^2 +y^2 = 36
<u>Find</u>
the circle's center and radius
<u>Solution</u>
Compare the given equation to the standard form equation for a circle.
(x -h)^2 +(y -k)^2 = r^2 . . . . . . centered at (h, k) with radius r
This tells you ...
Your circle is centered at (1, 0) and has a radius of 6.
So if the ratio is 3:1, that means for every 3/12 of the small triangle, there is 1/12 of the big one
the shaded area ratio is 1/12:1/4
I don't really get what your trying to