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swat32
3 years ago
5

Write the equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be

written in slope-intercept form. P (3,-4),x= - 7/8y+3
Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

y = 7x/8 - 53/8

Step-by-step explanation:

P(3,-4)

x = -7y/8 + 3

Isolate y and translate to slope-intercept form:

y = mx + b

x = -7y/8 + 3

x - 3 = -7y/8

8x - 24 = -7y

y = -8x/7 - 24/7

The slope of the equation is -8/7

The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.

y = mx + b where m = -1/(-8/7) = 7/8

y = 7x/8 + b

Plug in know values and solve for b:

-4 = 7(3)/8 + b = 21/8 + b

-4 - 21/8 = b

b = -32/8 -21/8 = -53/8

Plug in b into the equation:

y = 7x/8 - 53/8

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X is 2,5,6,9,11 and y is 0,2,46,8 is this a function or a nun function
Mnenie [13.5K]

Answer:

yes it is a function because none of the x value repeat. If they did repeat, then when plotted on a graph it would not pass the vertical line test.

Step-by-step explanation:

8 0
4 years ago
5 equally sized boxes of cake mix fell off the back of Jake's truck. Together they weigh 925.98 pounds. How much does each ball
uysha [10]

we are given

5 equally sized boxes of cake mix fell off the back of Jake's truck

it means that

total number of balls =5

Together they weigh 925.98 pounds

total weighs =925.98 pounds

each ball weighs = (total weights)/(total number of balls)

now, we can plug values

each ball weighs =\frac{925.98}{5}

each ball weighs is 185.196 pounds..................Answer

4 0
3 years ago
Question A librarian weighs each book that was returned to the library (to the nearest pound). Below is the data. 245 55 Make a
NeTakaya

The dot plot that represents the library book data is shown in the image below.

<h3>How to Construct a Dot Plot?</h3>

To construct a dot plot, each data point is represented as a dot. The number of dots one data point has represents the frequency at which that data point occurs in the data set.

The data set given in the table will have the following data points and frequencies:

1: 1

2: 3

3: 4

4: 4

5: 4

6: 0

7: 2

8: 2

The dot plot for the data is shown in the image below.

Learn more about the dot plot on:

brainly.com/question/25957672

#SPJ1

7 0
2 years ago
The Powerball lottery is played twice each week in 28 states, the Virgin Islands, and the District of Columbia. To play Powerbal
Alecsey [184]

Answer:

There are 3478761 ways to select the first 5 numbers

Step-by-step explanation:

As understood from the statement of this problem we assume that it does not matter the order in which the first 5 white balls are selected.

In this case it is a combination.

So, what we want to know is how many ways you can choose 5 white balls out of 55.

Then we use the formula of combinations:

C(n, x) = \frac{n!}{x! (n-x)!}

Where you have n elements and choose x from them.

Then we look for:

C(55, 5) = \frac{55!}{5!(55-5)!}\\\\C(55, 5) = \frac{55!}{5!(50)!}\\\\C(55, 5) = 3478761

6 0
3 years ago
What is the area of a triangle with vertices at (0,-2),(8,-2), and (9,1)
AVprozaik [17]
36 there you go I hope you understand

3 0
3 years ago
Read 2 more answers
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