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3 years ago

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

1 answer:

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
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17

Therefore, the integers are 15 and 17.

6 0

3 years ago

The cost to repair linda's car is $500, including parts and labor. the cost of parts is $140. if the cost of labor is $40 per ho

Mkey [24]

500=140+40h
minus 140 both sides
360=40h
divide y 40
9=h
9 hours

5 0

3 years ago

Hugo drove 26 miles on

Sergio [31]

Answer:

Step-by-step explanation:

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

6 0

2 years ago

Read 2 more answers

Damian had 5 liter bottles of soda, which he poured equally between 8 glasses. How much soda was in each glass?

DiKsa [7]

5/8.
Keep in mind that a fraction is also division equation, and you are distributing 5 liters among 8 glasses. Five divided by eight; five over eight.

6 0

2 years ago