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3 years ago

Simplifying Complex fractions using any method

Mathematics

2 answers:

zloy xaker [14]3 years ago

6 0

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)

Likurg_2 [28]3 years ago

3 0

Answer:

3ab/(b+a)

Step-by-step explanation:

Simplifying the numerator:

3/a - 3/b

3[1/a - 1/b]

Lcm is ab

3[(b - a)/ab]

Simplifying the denominator:

1/a² - 1/b²

Lcm: a²b²

(b² - a²)/(a²b²)

(b - a)(b + a)/(a²b²)

Numerator ÷ denominator

3[(b - a)/ab] ÷ (b - a)(b + a)/(a²b²)

3[(b - a)/ab] × a²b²/[(b - a)(b + a)]

3ab/(b + a)

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3 years ago

A ball is thrown vertically in the air with a velocity of 90ft/s. Use the projectile formula h=−16t2+v0t to determine at what ti

Debora [2.8K]

Answer:

$t=1.7 \ sec\ , t=4.0\ sec$

Step-by-step explanation:

<u>Vertical Throw</u>

It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity

The projectile formula is given as

$h=-16t^2+v_0t$

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We are required to find the time t where h=120 ft, knowing $v_o=90\ ft/sec$

$-16t^2+90t=120$

Rearranging

$-16t^2+90t-120=0$

This is a second-degree equation which will be solved with the formula

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\displaystyle x=\frac{-90\pm \sqrt{90^2-4(-16)(-120)}}{2(-16)}$

$\displaystyle x=\frac{-90\pm \sqrt{1380}}{-32}$

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6 0

3 years ago

Read 2 more answers

Help me with number 3

love history [14]

Well on front, you see 2 x 4 cereal boxes and it has depth of 3 cereal boxes.

So that would be 2×4×3 = 24 cereal boxes in total.

Since each cereal box is 175 in³, that would be 24 × 175 in³ = 4200 in³

So the answer is D.

8 0

3 years ago

Help me here please. I've been stuck on these last few questions. here's one

elixir [45]

It seems a lot like 120. 60 and 60 rounded is 60 each. 60 + 60 = 120

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8 0

3 years ago

9th term: a = 125; r = 1.2

Lilit [14]

Answer:

537.47712‬

Step-by-step explanation:

a = 125 ... the first term?

r = 1.2

ok use the formula: a_n = (a_1) * r ^(n-1)

we want a_9 = (a_1) * r^(9-1)

a_9 = 125 * (1.2)^8 = 125 * 4.29981696‬ = 537.47712‬

5 0

3 years ago