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Ulleksa [173]
3 years ago
5

Find the slope of the line: x/-1 + y/6 = 1

Mathematics
1 answer:
pychu [463]3 years ago
6 0
The slope-intercept form: y = mx + b

m-the slope

\dfrac{x}{-1}+\dfrac{y}{6}=1\\\\-x+\dfrac{y}{6}=1\ \ \ \ |add\ x\ to\ both\ sides\\\\\dfrac{y}{6}=x+1\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\y=6x+6\\\\\\Answer:\boxed{The\ slope\ m=6}
You might be interested in
Kasey asked 6 of her friends how many episodes of their favorite show they
ivanzaharov [21]

Answer:

A

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10        Multiply each side by 6

43 + m = 10 * 6

43 + m = 60          Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

3 0
4 years ago
The equation, y = (1/4)x, is an example of what kind of variation?
lakkis [162]

Answer:

I would stay direct vartation

Step-by-step explanation:

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

3 0
3 years ago
Multiple(x-4)(2x+3) using the distributive property
Vladimir79 [104]

Answer:

See Below

Step-by-step explanation:

x(2x) - 4(2x) + x(3) - 4(3)

= 2x² - 8x + 3x -12

= 2x²-5x-12

8 0
3 years ago
What is 2/3x=2y+6 in ax+by=c form?
kifflom [539]

Answer:

2x - 6y = 18

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

\frac{2}{3} x = 2y + 6

Multiply through by 3 to clear the fraction

2x = 6y + 18 ( subtract 6y from both sides )

2x - 6y = 18 ← in standard form

8 0
3 years ago
Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin
FromTheMoon [43]

Answer:

  • median: 15
  • base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

  5x -20 = (12 + (4x -10))/2

  5x -20 = 2x +1

  3x = 21 . . . . . add 20-2x

  x = 7

Then the lengths are ...

  median = 5x -20 = 5·7 -20 = 15

  base = 4x -10 = 4·7 -10 = 18

6 0
3 years ago
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