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3 years ago

What is the LCM of 6 and 9?

Mathematics

2 answers:

masya89 [10]3 years ago

8 0

The LCM for the numbers 6 & 9 is 18.

Hope this helped!

tatiyna3 years ago

4 0

LCM of 6 and 9 is 18

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-2/3 minus (-4/6)=

lina2011 [118]

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$- \frac{2}{3} - ( - \frac{4}{6} ) = \\$

$- \frac{2}{3} + \frac{4}{6} = \\$

$- \frac{2}{3} + \frac{2 \times 2}{2 \times 3} = \\$

$- \frac{2}{3} + \frac{2}{3} = 0\\$

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8 0

3 years ago

Find the lateral area for the prism. L.A. = Find the total area for the prism. T.A. =

Ksivusya [100]

The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0

4 years ago

Read 2 more answers

In which sentence do the capitalized words represent a prepositional phrase?

larisa [96]

D. , a prepositional phrase indicates relationships b/w subjects and verbs. The A-C answers are all just grammatical variations of actions. Also, if you want a quicker answer next time, try posting in the right section (this one would be English or Language). :)

5 0

3 years ago

PLEASE ANSWER ALOT OF POINTS

tatyana61 [14]

Answer:

Part A 1 solution

Part B 1,4

5 0

2 years ago

Read 2 more answers

Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2

Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is 379.

Step-by-step explanation:

Given the expression:

$15^6 - 7^6$

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

$15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)$

Let us learn two formula:

$x^3+y^3 = (x+y)(x^2+y^2-xy)$

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Applying the above formula in the expression written above:

$(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2$ ...... (1)

Similarly:

$(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379$ ........ (2)

Multiplying the expressions from (1) and (2) to get the result:

$\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2$

So, largest prime factor of the given expression is 379.

7 0

3 years ago