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Korolek [52]
3 years ago
12

44. Line A passes through points (5, 2) and (13, 6). Line B is parallel to Line A. Line C is perpendicular to Line B. What is th

e slope of Line C?
a. 2
b. 1/2
c. – 1/2
d. –2
Mathematics
1 answer:
Alja [10]3 years ago
4 0
<span>Line A passes through points (5, 2) and (13, 6). Line B is parallel to Line A. Line C is perpendicular to Line B. What is the slope of Line C?
                                                               6-2         4
Line A and B both have the slope m = -------- = ------ = 1/2.
                                                               13-5        8 

Line C, being perpend. to lines A and B, must have the slope m = -2 (answer)</span>
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Read image for instructions
Oliga [24]

The last part answers the first part for you, just look at the y-values.

In other words:

<em>A'</em><em> </em>(-8, 2)

<em>B'</em> (-4, 3)

<em>C'</em> (-2, 8)

<em>D'</em> (-10, 6)

Explanation:

When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.

This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.

Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.

<em>A'</em><em>'</em> (8, 2)

<em>B'</em><em>'</em> (4, 3)

<em>C'</em><em>'</em> (2, 8)

<em>D'</em><em>'</em> (10, 6)

Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.

3 0
3 years ago
In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant's daily order. Another cook prepares the sam
vodka [1.7K]

Answer:

9\frac{1}{3}hours

Step-by-step explanation:

Let third cook take x hours to prepare the same number of  pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies=\frac{y}{x}

One experienced cook takes time to prepare enough pies  =4 hours

In 1 hour , cook prepare pies=\frac{y}{4}

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies=\frac{y}{7}

All three cooks take time to  prepare the same number of pies=2 hours

In 1 hour,all three cooks  prepare  pies=\frac{y}{2}

According to question

\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}

y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}

\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}

\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}

\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}

x=\frac{28}{3}=9\frac{1}{3} hours

Hence, the third cook takes time to prepare the same number of pies alone=9\frac{1}{3}hours

8 0
3 years ago
A number written using only words is written using a
Blababa [14]

Answer:

i genuinlly dont know what you mean

Step-by-step explanation:

5 0
2 years ago
Maya has 9 books 1/3 of her books are fairy tales how many of Mayas books are fairy tales
posledela

Answer:

3

Step-by-step explanation:

1/3 of 9 is 3

you would figure this out by dividing the total amount of books by the denominator of the fraction.

9/3=3

8 0
3 years ago
Find the decimal equivalent of 4/25
professor190 [17]

Answer:

4/25 = 0.16

So the decimal equivalent of 4/25 would be 0.16

Hope this help you :3

3 0
3 years ago
Read 2 more answers
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