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hram777 [196]
2 years ago
15

19. Find the least common multiple of x² + 4x +3 and x² + 7x + 12.

Mathematics
1 answer:
Tems11 [23]2 years ago
3 0

Answer:

  C.  (x +1)(x +3)(x +4)

Step-by-step explanation:

The least common multiple is the product of the unique factors of each of the expressions. To find it, we need to factor each expression and identify the unique factors.

__

<h3>factorization</h3>

  x² +4x +3 = (x +3)(x +1)

  x² +7x +12 = (x +3)(x +4)

<h3>LCM</h3>

The unique factors are (x +1), (x +3), (x +4). The LCM is their product:

  LCM = (x +1)(x +3)(x +4)

_____

<em>Additional comment</em>

The positive sign of the constant (+3, +12) in each case tells you that the constants in the binomial factors will have the same sign. The positive sign of the linear term (+4x, +7x) in each case tells you the binomial factors will have constants with a positive sign. So, all of the answer choices that have negative constants can be eliminated.

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4 years ago
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PLEASE HELP ME If this rectangle is dilated using a scale factor of One-half through point B, what is the result? Point B is the
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3 years ago
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Plz help what’s the answer
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a. 192 b.60 c. 184, 164, 350

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8 0
3 years ago
Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co
Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

Minimum\ Area = 135cm^2

Maximum\ Area = 155cm^2

\pi = 3.14

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

Area = \pi r^2

Where

r = radius

a.\ r = 6cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (6cm)^2

Area = 3.14 * 36cm^2

Area = 114.04cm^2

b.\ r = 7cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (7cm)^2

Area = 3.14 * 49cm^2

Area = 153.86cm^2

<em></em>

c.\ r = 8cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (8cm)^2

Area = 3.14 * 64cm^2

Area = 200.96cm^2

d.\ r = 9cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (9cm)^2

Area = 3.14 * 81cm^2

Area = 254.34cm^2

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

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