First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
Answer:
The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.
Step-by-step explanation:
Given:
magnitude of earthquake in Chile = 8.2
magnitude of earthquake in Haiti = 7.0
To find:
Compare the intensities of the two earthquakes
Solution:
The magnitude R of earthquake is measured by R = log I
R is basically the magnitude on Richter scale
I is the intensity of shock wave
For Chile:
given magnitude R of earthquake in Chile = 8.2
R = log I
8.2 = log I
We know that:
is equivalent to:
8.2 = log I becomes:

So the intensity of the earthquake in Chile:

For Haiti:
R = log I
7.0 = log I
We know that:
is equivalent to:
7.0 = log I becomes:

So the intensity of the earthquake in Haiti:

Compare the two intensities :

= 
= 
= 15.848932
Round to the nearest whole number:
16
Hence former earthquake was 16 times as intense as the latter earthquake.
Another way to compare intensities:
Find the ratio of the intensities i.e.
-
= 8.2 - 7.0
= 1.2
Convert this logarithmic equation to an exponential equation
= 1.2
=
Hence
= 16
Answer:
50th term is 164
Step-by-step explanation:
a(n) = 17 + 3(n - 1)
a(50) = 17 + 3(50-1)
a(50) = 17 + 3(49)
a(50) = 17 + 147
a(50) = 164
Answer:Equation at the end of step 1
STEP
2
:
4a2 - b2
Simplify ————————
2a - b
Trying to factor as a Difference of Squares:
2.1 Factoring: 4a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Canceling Out :
2.2 Cancel out (2a - b) which appears on both sides of the fraction line.
Final result :
2a + b
Step-by-step explanation: