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3 years ago

Evaluate the expression. r = , v = , w = v ⋅ w

Mathematics

1 answer:

FromTheMoon [43]3 years ago

6 0

Answer:

v . w= -13

Step-by-step explanation:

Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Solution

Given the vectors:

r = <8, 1, -6>

v = <6, 7, -3>

w = <-7, 5, 2>

If you're asking about the dot product.

The dot product is a scalar. It is the sum of the product of the corresponding components.

v.w = (6*-7) + (7*5) + (-3*2)

= -42+35-6

= -13.

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Solve this system of equations. <br><br> 12x − 18y = 27 <br> 4x − 6y = 10

kifflom [539]

Answer:

no solution

Step-by-step explanation:

12x − 18y = 27

4x − 6y = 10

Multiply the second equation by -3 so we can eliminate x

-3(4x − 6y) = 10*-3

-12x +18y = -30

Add the first equation to this new equation

12x − 18y = 27

-12x +18y = -30

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0 = -3

This is not a true equation, so there is no solution

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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What is the domain of the given function?

EleoNora [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

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Hope this helped!

4 0

3 years ago

A suppose price per person for an event. If 17 people sign up. And the price per person is 213 what will be the price per person

Alex787 [66]

Answer:

338.28

Step-by-step explanation:

If 17 people sign up the price is 213

We want to khow the price if 27 people sign up

So:

17=> 213

27=> x( the unkhown price)

x= (27*213)/17 = 338.28

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2 years ago

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