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Fantom [35]
3 years ago
8

Factor completely. x^2-3x-28

Mathematics
2 answers:
Mars2501 [29]3 years ago
4 0

Answer:

= (x+4) (x-7)

Step-by-step explanation:

x²-3x -28

Product = -28

Sum = -3

numbers = -7 and 4

Thus;

x²- 3x -28 ; replacing -3x with -7x and 4x

x²-7x +4x -28

x(x-7) + 4(x-7)

<u>= (x+4) (x-7) </u>

solong [7]3 years ago
4 0

Answer:

(x-7)(x+4)

Step-by-step explanation:

We have given an expression.

x²-3x-28

We have to factorize given expression.

Split the middle term of above expression so that the sum of two term should be  -3 and their product be -28.

x²-7x+4x-28

Making groups and taking common , we have

x(x-7)+4(x-7)

Taking (x-7) as common, we have

(x-7)(x+4) which is the answer.

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8 0
3 years ago
What is the value of x when the richter scale rating scale is 8.4?
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The value of x when the richter scale rating scale is 8.4 is 251188643.151

<h3>What is a richter scale?</h3>

A richter scale is a numerical scale that is used for expressing the magnitude of an earthquake in a geographical area

<h3>How the richter scale works?</h3>

The richter scale takes the amplitude of the earthquake's largest seismic as an input and calculate (and display) the magnitude of an earthquake in the geographical area using a logarithmic function

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The formula of a richter scale is expressed as:

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In this case, n = 8.4.

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Read more about richter scale rating at

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7 0
2 years ago
line j is perpendicular to lines m and n. if the products of the slope of all three lines is -8, what is the slope of line j?
jeka94

Answer:

the slope of line j is -1/8, the slope of lines m and n are both 8.

Explanation step by step:

Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:

1. line j is perpendicular of line m, so j*m= -1

2. J is perpendicular of line n, so  j*n=-1

3. m and n and parallel so m=n

As we want to know the slope of j we clear the equations presented to us in order to find it.

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we clear j; n^{2} * j = -8 \\ j =\frac{-8}{n^{2} }

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n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.

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