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marshall27 [118]
3 years ago
12

Could two lines with negative slope be perpendicular? Explain.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0
No.  For two lines to be perpendicular their slope must be the negative reciprocals of one another, mathematically:

m1*m2=-1

So if the slope of one line is negative, the line perpendicular to this must be positive by definition.
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Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long.Id her b
Advocard [28]

We have been given that Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long. We are asked to determine if Susan's board is long enough to cut or not.

We know that 1 inch is equal to 2.54 cm.

Let us convert 12 inches into cm by multiplying 12 by 2.54.

12\text{ inches}=12\times 2.54\text{ cm}

12\text{ inches}=30.48\text{ cm}

Since 12 inches is equal to 30.48 centimeters and 30.48 is greater than 29, therefore, Susan's board in long enough to cut.

6 0
3 years ago
Wyatt invests $1200 into an account that earns 6.2% simple interest for 4 years. He does not make any other deposits or withdraw
iVinArrow [24]

Answer:

297.60 & 1497.60

Step-by-step explanation:

I had the question before and got it right

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2 years ago
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When a teacher in a private school points out to her high school principal that since there are empty seats in all classrooms, t
Minchanka [31]

Answer:

The answer is "Principal of marginal analysis".

Step-by-step explanation:

To determine unless the benefits of even an aggressive resource would outweigh its costs, and therefore increase utility, individuals and businesses can use a valuation model to compare the risks versus the benefits of more activities, like whether to create or consuming more. It's the amount during which net value is greater than or equal to marginal cost that's the optimal quantity in this situation. The amount where the marginal social cost curve and consumer surplus line connect.

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3 years ago
What is identity Property and zero property of multiplication
Olin [163]

anything multiplied by one is itself, anything multiplied by zero is zero

3 0
3 years ago
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QUESTION 3 of 10: Stock returns vary from year to year. The more variance a stock displays the greater the potential risk. These
Dahasolnce [82]

Answer:

The variance of these investment returns is 74

Step-by-step explanation:

Given:

Series =  10, 30, 15, 5, 20

To Find:

variance of a series = ?

Solution:

The variance of the series = Var\left(X\right)=\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n}

\bar{x} = \frac{10+30 +5+15 + 20}{5}

\bar{x} = \frac{80}{5}

\bar{x} =16

Now (x_i -\bar{x})^2 = (10 -16)^2 + (30 -16)^2 + (5 -16)^2 +(15 -16)^2 +(20 -16)^2

= (-6)^2 + (14)^2 + (-11)^2 + (-1)^2+ (-4)^2

= 36  + 196 +121 +  1+ 16

=  370

Now

Var\left(X\right)=\frac{370}{5} =  74

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3 years ago
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