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Klio2033 [76]
2 years ago
7

Se the FOIL method to evaluate the expression: (5+2)(4-5)

Mathematics
1 answer:
DaniilM [7]2 years ago
3 0

The FOIL <em>method</em> is a method of <u>expanding</u> two given <u>brackets</u> by following the required <u>steps</u>. Thus using the FOIL <em>method</em>, the required answer is: -7

<em>Expansion</em> of <u>brackets</u> may be done using different <em>methods</em>, but these <em>methods</em> would give the same answer. Some <em>methods</em> that can be used are the <u>binomial</u> expansion method, FOIL method, etc.

The FOIL <u>method</u> is a <em>shortened</em> form of the<u> steps</u> required for the process. These required <u>steps</u> are <u>First</u>, <em>Outside</em>, <em>Inside</em>, and <u>last.</u>

Thus to <u>expand</u> the given <em>brackets</em> in the question, we have;

(5+2)(4-5) = 5(4 - 5) + 2(4 - 5)

                = 20 - 25 + 8 - 10

                = 28 - 35

(5+2)(4-5) = -7

Thus using the FOIL <u>method</u>, the <u>answer</u> to the question is -7.

<em>Quick check</em>: (5+2)(4-5) = (7)(-1)

                             = -7

For more clarifications on expansion of brackets using the FOIL method, visit: brainly.com/question/1592629

#SPJ 1

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Answer:

Alexander is incorrect because the expressions are not equivalent.

Step-by-step explanation:

If the expression is evaluated for any value of x, y; the result will not be same.

For instance, let assume x = 1 and y = 2

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Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

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The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

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The opposite= the vertical distance

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Step two:

Applying SOH CAH TOA

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The sniper shoots from a vertical distance of  68.17m

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Step-by-step explanation:

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Need help finding the x, y, and z. please and thank you
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The first step in any problem is to look at what you are given. When solving systems of linear equations, it is often helpful to eliminate one or more of the variables by adding or subtracting a multiple of one equation with a multiple of another. It is convenient when at least one of the multipliers is 1.

Here, we can cancel the y-terms in the 2nd and 3rd equations simply by adding them together. This gives

... (5x +y -4z) +(-3x -y +5z) = (41) +(-45)

... 2x +z = -4 . . . . simplified

Likewise, we can add 3 times the second equation to the first to cancel y in that sum.

... 3(5x +y -4z) +(2x -3y +z) = 3(41) + (-1)

...15x +3y -12z +2x -3y +z = 123 -1

...17x -11z = 122 . . . . simplified

Now that we have 2 equations in x and z, we can go through the same process. We observe that the coefficient of z is +1 in the first equation and -11 in the second. The means we can cancel the z terms by adding 11 times the first equation to the second:

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From above, we find

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... y = 41 -5x +4z = 41-5(2) +4(-8) = 41 -42 = -1

The solution is (x, y, z) = (2, -1, -8).

_____

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