4 years ago

Construct a line segment to each given line segment

Mathematics

1 answer:

WITCHER [35]4 years ago

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Make a line that’s congruent to the line seg

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kodGreya [7K]

Answer:

12 $\sqrt{6}$ + 8 $\sqrt{15}$ + 12 + 4 $\sqrt{10}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

(4 $\sqrt{3}$ + 2 $\sqrt{2}$ )(3 $\sqrt{2}$ + 2 $\sqrt{5}$ )

Each term in the second factor is multiplied by each term in the first factor, that is

4 $\sqrt{3}$ (3 $\sqrt{2}$ + 2 $\sqrt{5}$ ) + 2 $\sqrt{2}$ (3 $\sqrt{2}$ + 2 $\sqrt{5}$ ) ← distribute both parenthesis

= 12 $\sqrt{6}$ + 8 $\sqrt{15}$ + 12 + 4 $\sqrt{10}$

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4 years ago

Which is the equation of a line that has a slope of 3/2 and has the point of (-10,4)

Daniel [21]

Y = 3/2x + b
4 = 3/2(-10) + b
4 = -15 + b, b = 19
Y = 3/2x + 19

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3 years ago

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ololo11 [35]

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Step-by-step explanation:

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3 years ago

Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges

vagabundo [1.1K]

Answer:

The sequence diverges

Step-by-step explanation:

The given sequence is 1, 4, 15, 64, 128, ...

By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;

The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞

Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.

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