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Alex777 [14]
3 years ago
13

1.) Explain how u can use absolute value to tell whether the sum of two integers is positive or negative?

Mathematics
2 answers:
aliina [53]3 years ago
8 0
To find the sum<span> of a </span>positive<span> and a </span>negative integer<span>, take the </span>absolute value<span> of each </span>integer<span> and then subtract these </span>values<span>. The result takes the sign of the </span>integer<span> with the larger </span>absolute value<span>. The </span>sum<span> of any </span>integer<span> and its opposite is equal to zero.</span>
liberstina [14]3 years ago
4 0

Answer:

The absolute value is always equal to the module (or positive value) of a number:

IxI = x if x>0

IxI = -x if x < 0

suppose you have an addition of two numbers of the same sign:

If both numbers are positive, the sum will be positive, if both numbers are negative, the sum will be negative, but now let's see the case where the sign of the numbers is different:

Here, you can apply the absolute value to both numbers, and the sign of the addition will be the same sign of the number associated with the biggest absolute value.

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Given segments AB and CD intersect at E.
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The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
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<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

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\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

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<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

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\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

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\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

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If AB bisects CD, then:

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If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

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