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romanna [79]
3 years ago
9

you are adding two rational numbers with different signs. how can u tell if the sum will be positive,negative,zero

Mathematics
1 answer:
Lorico [155]3 years ago
5 0
You can tell if it is going to be negative if there is a number with a greater value. for example -14 minus 7. that would be -7 
You can tell if it is positive if one number has a bigger value. for example 12-(-6)=6
And if it is zero it would be something like this
-7+7 sorry that's hard to explain in words hoped this helped you
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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)
icang [17]

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

                                  = (3,-2)

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

7 0
3 years ago
Two consecutive odd integers have a sum of 32. Find the integers.
bezimeni [28]
Let
x = first consecutive odd
x + 2 = second consecutive odd

Based on the problem, we equate
x + (x + 2) = 32
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x = 30/2
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Therefore, the integers are 15 and 17.
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500=140+40h
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Sergio [31]

Answer:

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Step-by-step explanation:

26 times 2 the plus 18 and you get 70 hope this helps

6 0
2 years ago
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5/8.
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