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Kaylis [27]
1 year ago
7

Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

type it as a decimal rounded to the nearest hundredth.Line 1: passes through (1,7) and (5,5) the slope of this line is Answer.Line 2: passes through (-1,-3) and (1,1) the slope of this line is Answer.The lines are Answer

Mathematics
1 answer:
Aleonysh [2.5K]1 year ago
5 0

As given by the question

There are given that the point of two-line

\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}

Now,

For second-line,

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}

The given result of the slope is negative reciprocal because

\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

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3 years ago
If there are a total of 25 questions, and I scored 56% on my test, how many answers did I get right, and how many answers did I
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Answer:

14 correct and 11 wrong

Step-by-step explanation:

If you got a 56% , we need to change this to decimal form 56% = .56

This is the percent you got right

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To determine the number of questions you got wrong, take the total number of questions minus the number you got right.

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Answer:

see the attachment

Step-by-step explanation:

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3 years ago
A recipe calls for 1.5 cups of raisins for 18 cookies how many cups of raisins must be used for making 30 cookies. please break
Zanzabum

Lets list what we know:

1.5 cups = 18 cookies

How many cups in 1 cookie will help us find the answer:

1.5 / 18     (1.5 cups per 18 cookies)

divide both sides by 1.5 (to get how many cookies in 1 cup)

1 / 12        (1 cup = 12 cookies)

Now, how many times does 12 fit in 30?

30/12 = 2.5

This means it takes 2 and a half cups of raisins to get 30 cookies.

If anything is still unclear please comment,

Hope this was helpful

Have a great day!

6 0
3 years ago
If i is raised to an even power than I can’t simplify to be <br> i <br> 1 <br> -1
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Answer:

i

Step-by-step explanation:

i^ even power

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So raised to an even power, it will be either 1 or negative 1

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