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3 years ago

What is the largest integer that will divide all the terms of 18x^2 and 12x^3

Mathematics

2 answers:

vazorg [7]3 years ago

5 0

Idk just guess 258 and plus I not goood at it leave it alone

beks73 [17]3 years ago

5 0

<h3>Answer: 6</h3>

This is the GCF of 18 and 12. We can factor each into prime factors like so

18 = 2*3*3

12 = 2*2*3

In each factorization, we see exactly one copy of '2' and one copy of '3'. These values are in both factorizations at the same time. So that is why the GCF is 2*3 = 6. It is the largest whole number that goes into both 18 and 12.

Note: we ignore the second copy of '3' because 12 does not have two copies of '3'. A similar story happens with that second copy of '2'. GCF stands for "greatest common factor".

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creativ13 [48]

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3 years ago

In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X

Anika [276]

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

5 0

3 years ago

What is the answer to 8x^3+125 by factoring the perfect cube?

expeople1 [14]

Answer:

$\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}$

Step-by-step explanation:

$8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)$

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4 years ago

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Anuta_ua [19.1K]

We sketch two triangles, DFE and DGH, as shown below

Side DF correspond to side DG, the scale factor is 40÷32=1.25

Side DE correspond to side DH, the scale factor is 30÷24=1.25

That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25

Both triangles share the same angle D

We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS

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3 years ago

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Step-by-step explanation:

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