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zysi [14]
3 years ago
6

Which equation, in point-slope form, represents a line with m=1/6 that goes through the point (-5,4) ?

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0
The equation for this line is y - 4 = \frac{1}{6}(x + 5).

We already have all the information we need to write this equation in point-slope form. That's because all you need to write an equation in point slope form is the slope and the coordinates of one point. Since we have that, w+ e can start making the equation. The equation of a line in point-slope form is written as:

y₁ - y = m(x₁ - x)

In this equation, (x, y) is the coordinate of the point we know and m is the slope. Substituting all the values gives us our answer of: y - 4 = \frac{1}{6}(x + 5).
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Step-by-step explanation:

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7 0
3 years ago
Two friends Ana and Juan are buying books by joining the History Book
Travka [436]

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0
3 years ago
The length of a rectangle is twice its width. if the area of the rectangle is 50 yds2 , find its perimeter
Law Incorporation [45]
Hello : 
x : length     y :<span> width
</span>xy = 50 ...(1)
x = 2y ...(2)
dubsct in (1) : 
(2y)(y) = 50
y² = 25
y = 5
x = 10

7 0
3 years ago
Which expression is equivalent to 27 + 45? 8(3 + 6) 8(19 + 37) 9(3 + 5) 9(18 + 36)
Sladkaya [172]
9(3+5) is equivalent because factoring a 9 out of both 27 and 45 leaves us with 9(3+5).
4 0
3 years ago
Read 2 more answers
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