Answer:
C
Step-by-step explanation:
Given the 2 equations
6x + 2y = 8 → (1)
12x + y = 22 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 24x - 2y = - 44 → (3)
Add (1) and (3) term by term, thus eliminating y
- 18x = - 36 ( divide both sides by - 18 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
6(2) + 2y = 8
12 + 2y = 8 ( subtract 12 from both sides )
2y = - 4 ( divide both sides by 2 )
y = - 2
Solution is (2, - 2 ) → C
12.25+12.25+12.25+12.25=49
Since it is a square, all sides are equal.
Divide the 440 by 4 to find the length of each side.
440/4 = 110 yards
Answer:
B. 3
Step-by-step explanation:
We can use secant theorem.
AX × BX = EX × DX
AX = 7 + 2 = 9
9 × 2 = (3 + x) × 3
18 = 9 + 3x
18 - 9 = 3x
9 = 3x
x = 9/3 = 3
The length of ED is 3 units.
Using prime factorization, the LCM and GCF of numbers are
1) For 46 and 4
GCF = 2
LCM = 92
2) For 2 and 34
GCF = 2
LCM = 34
3) For 32 and 4
GCF = 4
LCM = 32
<h3>What is meant by prime factorization?</h3>
A natural number other than 1 with just the number 1 and itself as factors is known as a prime factor. Actually, 2, 3, 5, 7, 11, and so on are the first few prime numbers. For numbers, we may now also employ what is known as prime factorization, which really involves utilizing factor trees.
When a number is expressed as the product of its prime factors, this is known as prime factorization.
1) The factors of the numbers are
46 = 2 × 23
4 = 2 × 2
GCF = 2
LCM = 2 × 2 × 23
= 92
2) The factors of 34 are
34 = 2 × 17
GCF = 2
LCM = 2 × 17
=34
3) The factors of the numbers are
32 = 2 × 2 × 2 × 2 × 2
4 = 2 × 2
GCF = 2 × 2
= 4
LCM = 2 × 2 × 2 × 2 × 2
= 32
To know more about prime factorization, visit:
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