Step-by-step explanation:
General equation of the circle with center (h,k) and radius r,
(x-h)²+(y-k)²=r²
Therefore, on comparison
center ( 4, -2)
radius r= 4√2
Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
15 percent of the fruit in the fruit bowl are oranges
Answer:
x=10
Step-by-step explanation:
multiply 5 on both sides to cancel out the 5 and your left with x=10
Answer:
4. C
5. 7
6. 3
Step-by-step explanation:
Four:
You have to multiply both of them. Just easy math!
Five:
This one is more complicated. You can see that it is asking you to plug in for a,
F(3):
F(1.25):
So now just subtract the answers. 7-0 equals 7.
Six:
Just look at the graph and see what number corresponds with y(6), or the 6 on the y axis. It appears to be three.
Have a nice day! Hope this helps. Don't forget to mark brainliest!
