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MatroZZZ [7]
3 years ago
5

Find an equation for the line that passes through the points (1, -1) and (-3, 1).

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

<h3>y = - 1/2x - 1/2</h3>

Step-by-step explanation:

Equation of line is y = mx + c

where m is the slope

c is the y intercept

Slope of the line using points

(1, -1) and (-3, 1) is

m =  \frac{1 + 1}{ - 3 - 1}  =  -  \frac{2}{4}  =  -  \frac{1}{2}

Equation of the line using point

( 1 , - 1) and slope - 1/2 is

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

Hope this helps you.

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Shawna has 50, 48,46,44 or 42 yellow pencils.

Step-by-step explanation:

Here, given the total number of pencils Shawna has  = 55 pencils

So, The number of YELLOW PENCIL + BLUE PENCIL = 55

or, Y  + B = 55

Now let us take the given cases of blue pencils one by one:

1. If she has 5 blue pencils

Here, B = 5

So, as Y  + B = 55 ⇒    Y +  5  = 55

or, Y = 5 5 - 5  = 50

Hence, Shawna has 50 yellow pencils.

2. If she has 7 blue pencils

Here, B = 7

So, as Y  + B = 55 ⇒    Y +  7  = 55

or, Y = 5 5 - 7  = 48

Hence, Shawna has 48 yellow pencils.

3. If she has 9 blue pencils

Here, B = 9

So, as Y  + B = 55 ⇒    Y +  9  = 55   ⇒  Y  = 55- 9 = 46

Hence, Shawna has 46 yellow pencils.

4. If she has 11 blue pencils

Here, B = 11

So, as Y  + B = 55 ⇒    Y +  11  = 55   ⇒  Y  = 55- 11 = 44

Hence, Shawna has 44 yellow pencils.

5. If she has 13 blue pencils

Here, B = 13

So, as Y  + B = 55 ⇒    Y +  13  = 55   ⇒  Y  = 55- 13 = 42

Hence, Shawna has 42 yellow pencils.

3 0
3 years ago
QuestionIn PQR, sin P = 1/3, sin R = 2/3,and p = 9. Find the side length r.
mamaluj [8]

Lets draw our triangle:

Lets use the "Law of Sines" to find our side r:

\frac{p}{\sin P}=\frac{r}{\sin R}\rightarrow\frac{9}{\frac{1}{3}}=\frac{r}{\frac{2}{3}}\rightarrow9\times\frac{3}{1}\times\frac{2}{3}=r\rightarrow r=18

So r=18

5 0
1 year ago
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