Let's solve each equation. If we end up with something like x = 5, then we know we have one solution. If we end up with something like 3 = 3, then we have infinitely many solutions.
Equation 1:
3g + 24 = 3(g + 8)
Use the distributive property, which states: a(b+c) = ab + ac
3g + 24 = 3g + 3(8)
3g + 24 = 3g + 24
Subtract 3g on both sides
24 = 24
This means that equation 1 has infinitely many solutions.
Just to be sure, let's make sure that equation 2 doesn't have infinitely many solutions also.
Equation 2:
5c + 9 = 5c - 12
Subtract 5c on both sides
9 = -12
Now, this statement is false. This means that equation 2 has no solutions.
Your final answer is: Equation 1 has infinitely many solutions.
0.503, 0.529, 0.53 would be the answer
2. The integration region,
corresponds to what you might call an "annular sector" (i.e. the analog of circular sector for the annulus or ring). In other words, it's the region between the two circles of radii 
and 
, taken between the rays 
and 
. (The previous question of yours that I just posted an answer to has a similar region with slightly different parameters.)
You can separate the variables to compute the integral:
which should be doable for you. You would find it has a value of 19/72*(3√3 + 4π).
3. Without knowing the definition of the region <em>D</em>, the best we can do is convert what we can to polar coordinates. Namely,
so that
242,000 i think
hope this helped
Answer:
in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph
to turn this into a line long press on the button next "y" on the table you have made, then select "lines"
