A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.
13. The prime factorization of 8 is 2 * 2 * 2. The prime factorization of 26 is 2 * 13. Looking at the prime factorizations, we can see that both of them have 2. That means that the GCF is 1 * 2 which is 2.
12. The prime factorization of 105 is 3 * 5 * 7. The prime factorization of -30 is -5 * 6. We see that the number shared 5. That means that the GCF is 5 * 1 or 5.
Answer:
y=2x + 2
0= 2x +2
-2x = 2
x= -1
Step-by-step explanation:
2y = 4x +4
2y -4x =4
y-2x =2
-2x +y =2
2x-y=-2
75% is also equal to 75/100, simplified to 3/4<span />
Answer:
Step-by-step explanation:
see the attached figure with the letter D to better understand the problem
we know that
The segment side AD is the height of triangle ABC
so
Triangles PBQ and ABD are similar by AA Similarity Theorem
The area of triangle ABC is equal to
we have
substitute
Remember that
If two triangles are similar then the ratio of its corresponding sides is proportional
so
substitute the given values
Answer: 62
Step-by-step explanation: Set up your equation
- 21+x=2x-41 because the number (x) that 21 is added to is 41 <em>less than</em> (so subtraction) <em>twice </em>(so multiply the number x by 2) the number (x).
- Get the x's on one side by subtracting the single x
- 21=x-41
- Now add 41 to both sides to completely isolate x
- 62=x
- So, your answer is x=62. The number is 62.
Check your work. 62+21=83. 2(62)= 124. 124-41=83. Both equations equal 83, so the solution is correct.
