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2 years ago

What is the following product? 3v2(5v6-7v3)

Mathematics

1 answer:

steposvetlana [31]2 years ago

6 0

Answer:

$3v^2\left(5v^6-7v^3\right)=15v^8-21v^5$

Step-by-step explanation:

Given the expression

$3v^2\left(5v^6-7v^3\right)$

Apply the distributive law

$a\left(b-c\right)=ab-ac$

$a=3v^2,\:b=5v^6,\:c=7v^3$

$=3v^2\cdot \:5v^6-3v^2\cdot \:7v^3$

$=3\cdot \:5v^6v^2-3\cdot \:7v^3v^2$

$=15v^8-21v^5$

Thus, we conclude that

$3v^2\left(5v^6-7v^3\right)=15v^8-21v^5$

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The vector ab has a magnitude of 20 units and is parallel to the

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<h3>How to find the vector?</h3>

If we have given a vector v of initial point A and terminal point B

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then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given;

The vector ab has a magnitude of 20 units and is parallel to the

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= 20 x (4i + 3j) / 5

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Hence, The vector AB is 16i + 12j.

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1 year ago

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3 years ago

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Given that the square root function is only defined for non-negative numbers, define the domain of f in terms of c. {x | ≥ 0}

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Step-by-step explanation:

Given the situation, that the square root function only allows you values above than "0" (not equal neither), then you must consider that every value above 0 belongs to it's domain.

Then, to express the domain, going from your most negative number, to your most possitive number (in this case all positive number, thats why we use infinite) you must use the parenthesis wich means, you are not considering the value (in this case 0), but the value right after it, to the next value that as we said before, is inifinite. Also remember, that when you express a domain, and use infinite (despite it's going to negative way, or possitive way, it also goes with parenthesis).

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3 years ago

Use 2 unit multipliers to convert 4 square feet to square inches

allochka39001 [22]

Answer:

4 square feet is equal 576 square inches

Step-by-step explanation:

to convert 4 square feet to square inches

Now, We know that 1 feet = 12 inches

∴ $1^{2} \ feet = 12^2 \ inches\\1\ square\ feet= 144 \ square \ inches\\$

Now we need to find 4 square feet

$4 \times 1\ square\ feet= 4\times 144 \ square \ inches\\4 \ square\ feet= 576 \ square \ inches$

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