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balu736 [363]
3 years ago
5

How do I complete this formal check?

Mathematics
1 answer:
natima [27]3 years ago
8 0

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

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Determine the cross product b*a a=2i+2j-5k b=6i-j+2k
Misha Larkins [42]

Recall the definition of the cross product:

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

The cross product is antisymmetric, or anticommutative, meaning that for any  vectors u and v, we have u x v = - (v x u).

It's also distributive, so for any vectors u, v, and w, we have (u + v) x w = (u x w) + (v x w).

Taking all of these properties together, we get

b x a = (6i - j + 2k) x (2i + 2j - 5k)

b x a = 12 (i x i) - 2 (j x i) + 4 (k x i)

............. + 12 (i x j) - 2 (j x j) + 4 (k x j)

............. - 30 (i x k) + 5 (j x k) - 10 (k x k)

b x a = 1 (j x k) + 34 (k x i) + 14 (i x j)

b x a = i + 34j + 14k

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3 years ago
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2 years ago
=<br> Given f(x) 2x3 + kx + 6, and x + 2 is<br> a factor of f(x), then what is the value of k?
FinnZ [79.3K]

Answer:

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Step-by-step explanation:

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2 years ago
Steven wrote this equation. 4×18=418 Explain the error in Steven's reasoning. Find the correct product. Enter your explanation a
Thepotemich [5.8K]

Given:

Steven wrote this equation:

4\times 18=418

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

4\times 18=418

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

4\times 18=4\times (10+8)

4\times 18=4\times 10+4\times 8

4\times 18=40+32

4\times 18=72

Therefore, the correct product is 72.

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3 years ago
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