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IgorC [24]
3 years ago
9

How to find the least common denominator

Mathematics
1 answer:
lesya [120]3 years ago
6 0
Multiply the two numbers together
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Simplifying Complex fractions using any method
zloy xaker [14]

Answer:

3ab

-------------------

(b+a)

Step-by-step explanation:

3/a - 3/b

-------------------

1/a^2 - 1/b^2

Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions

(3/a - 3/b) a^2 b^2

-------------------

(1/a^2 - 1/b^2) a^2b^2

3ab^2 - 3 a^2 b

-------------------

b^2 -  a^2

Factor out 3ab on the top

3ab( b-a)

-------------------

b^2 -  a^2

The bottom is the difference of squares

3ab( b-a)

-------------------

(b-a) (b+a)

Cancel like terms from the top and bottom

3ab

-------------------

(b+a)

6 0
3 years ago
Read 2 more answers
100 POINTS! Find the angle in radians.
Pani-rosa [81]

Answer:

obtuse?

Step-by-step explanation:

7 0
3 years ago
You have 42,784 grams of a radioactive kind of curium. If its half-life is 18 years, how much will be left after 72 years?
s344n2d4d5 [400]

Answer:

2,674.14 g

Step-by-step explanation:

Recall that the formula for radioactive decay is

N = N₀ e^(-λt)

where,

N is the amount left at time t

N₀ is the initial amount when t=0, (given as 42,784 g)

λ = coefficient of radioactive decay

  = 0.693 ÷ Half Life

  = 0.693 ÷ 18

  = 0.0385

t = time elapsed (given as 72 years)

e = exponential constant ( approx 2.7183)

If we substitute these into our equation:

N = N₀ e^(-λt)

= (42,787) (2.7183)^[(-0.0385)(72)]

= (42,787) (2.7183)^(-2.7726)

=  (42,787) (0.0625)

= 2,674.14 g

6 0
3 years ago
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb
Zanzabum

Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

6 0
3 years ago
Read 2 more answers
9<br> 60°<br> A) x = 18, y=9V6<br> B) x=9V3, y=9V3<br> C) x = 18, y=9V3<br> D) x =9V3, y=9V6
lesantik [10]

Answer:

C. x = 18, y = 9\sqrt{3}

Step-by-step explanation:

In a 30-60-90 triangle,

longer leg = \sqrt{3} (shorter leg)

hypontenuse = 2(shorter leg)

In your case, the shorter leg = 9

therefore, y = 9\sqrt{3}    and x = 2(9) = 18

7 0
3 years ago
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