Answer:
6 to the power of 2.
Step-by-step explanation:
Recall that whenever you divide exponents with the same base, you subtract the powers, but the base will still be the same. Therefore, 6 to the power of 12 divided by 6 to the power of 10 is 6 to the power of 2. Subtract the powers (exponents) or 12 minus 10, and you get 2. Since the base doesn't change, it is still 6. The solution to this expression is 6 to the power of 2. Hope this helps!
Answer:A
Step-by-step explanation:
if you look at it carefully the endpoint is at the bottom of the Y value which looks like negative 2 this is the only answer you can be
Answer:
Part c: Contained within the explanation
Part b: gcd(1200,560)=80
Part a: q=-6 r=1
Step-by-step explanation:
I will start with c and work my way up:
Part c:
Proof:
We want to shoe that bL=a+c for some integer L given:
bM=a for some integer M and bK=c for some integer K.
If a=bM and c=bK,
then a+c=bM+bK.
a+c=bM+bK
a+c=b(M+K) by factoring using distributive property
Now we have what we wanted to prove since integers are closed under addition. M+K is an integer since M and K are integers.
So L=M+K in bL=a+c.
We have shown b|(a+c) given b|a and b|c.
//
Part b:
We are going to use Euclidean's Algorithm.
Start with bigger number and see how much smaller number goes into it:
1200=2(560)+80
560=80(7)
This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.
Part a:
Find q and r such that:
-65=q(11)+r
We want to find q and r such that they satisfy the division algorithm.
r is suppose to be a positive integer less than 11.
So q=-6 gives:
-65=(-6)(11)+r
-65=-66+r
So r=1 since r=-65+66.
So q=-6 while r=1.
Answer:
1/2 or 0.5
Step-by-step explanation:
Multiply 1/4 by 2/1
2/4
Simplify
1/2
Hope this helped :)
Answer: <u><em>pls mark as brainliest</em></u>
2x+3y>-3
First we forget the inequality sign
2x+3y=-3
Then we solve for y
3y = -3-2x
3y=-2x-3
y=-\frac{2x}{3}-1
which is of the form y =mx +b
So here slope m is 2/3 and y intercept is -1 .
First we graph .
And then we have to check, which part need to be shaded . And for that , we take a testing point. Let it be (0,0) .
Now we plug this point in the given inequality that is 2(0)+3(0)>-3
0+0>-3
0>-3 which is true. SO we have to shade that part of the graph where point (0,0) belongs .
Step-by-step explanation:
