Answer:
you have selected the correct option for the first part
in the second part, the answer is "there is no solution"
in the third part, the answer is "one solution" which is (0 , 1)
brainly it if you found this helpful
Answer:
I don't have a calculator with me, and I'm lazy to take it, but here is how it's done
Step-by-step explanation:
First let's just take it as the shape is a perfect rectangle without any folds. Therefore just take
9 x (3.5 + 2) = 63
Now just count the area of those two folded triangles. Then just take 63 and minus of the area of those two triangles, that's your anwer
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:
the answer is 400-8=394.
Step-by-step explanation:
Answer:
13m²−35m+8−4m³
Step-by-step explanation:
Expand (1 − 4m)(m² − 3m + 8) by multiplying each term in the first expression by each term in the second expression.
1m² + 1 (−3m) + 1 ⋅ 8 − 4m ⋅ m² − 4m (−3m) − 4m ⋅ 8
Simplify terms.
13m²−35m+8−4m³