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3 years ago

Least common denominator?

Mathematics

1 answer:

Over [174]3 years ago

4 0

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

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How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

wariber [46]

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

- 2 - 2

k = 2

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3 years ago

In the diagram, m ∥ n and m and n are cut by transversal p. Which angle pairs are congruent? Check all that apply. ∠1 and ∠5 ∠3

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The picture in the attached figure

we know that

a) ∠1 and ∠5
are congruent-----> by corresponding angles

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c)∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
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d) ∠8 and ∠2------> supplementary angles (∠8 + ∠2=180°)
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5 0

3 years ago

Read 2 more answers

The graph shows the number of miles you and a friend run each week while training for a race.

lord [1]

Answer: 4 miles

Step-by-step explanation:

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3 years ago

Use Lagrange multipliers to minimize the function f(x,y,z)=x2 +y2 +z2

lubasha [3.4K]

Question options :

A)64

B)192

C)128

D)384

Answer:

B)192

Step-by-step explanation:

Please find attachment

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3 years ago

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Tems11 [23]

Answer:

As Per Provided Information

We have to use π = 3.14

Diameter of baseball is 3 inch

So, Radius of Baseball will be

Radius = Diameter/2

Radius = 3/2 inch

Radius = 1.5 inch

we have been asked to determine the surface area of given baseball .

Using Formulae 

 $\boxed {\bf \: Surface \: Area_{(Baseball)} \: = 4 \pi {r}^{2} }$ 

substituting the value and let's solve it

$\longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = 4 \times 3.14 \times {1.5}^{2} \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 4 \times 3.14 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 12.56 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 28.26 \: {inch}^{2}$

Therefore,

Surface Area of baseball is 28.26 sq. inch .

So, your answer is 28.26 sq.in

4 0

3 years ago