The greatest common factor of
and
is
gcd(m*m*n*n, m*n*n*n) =m*n*n=
what we did, was to see how many m's and how many n's, each expression have, and then pick the smallest of each letter (factor).
the reason is that the common factor, must have enough m's and n's to divide the m's and n's of both expressions
so
also
thus, n is equal to 3
Answer: A)3
Answer:
174cm^2
Step-by-step explanation:
Given data
L=9m
W=5m
H=3m
The formula for the total surface area of a cuboid is
SA=2lw+2lh+2hw
substitute
SA=2*9*5+2*9*3+2*3*5
SA= 90+54+30
SA= 174cm^2
Hence the surface area is 174cm^2
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
6(2y-4)+p
If you distribute you can get
2y-24+p ;)
Answer:
TRUE
If a polygon is a rectangle, then it is a square. If a polygon is a square, then it is a rectangle. If a polygon is not a rectangle, then it is not a square.