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marin [14]
3 years ago
12

The formula for the slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is m=?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0
The formula to find the slope of a line is \frac{y_{2} - y_{1}}{x_{2}-x_{1}}.

I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.

You might be interested in
What is the slope line through (-9,-6) and (3,-9)?
chubhunter [2.5K]

Answer:

-1/4

Step-by-step explanation:

We can find the slope of the line given two points

m = (y2-y1)/(x2-x1)

   = (-9- -6)/(3- -9)

   = (-9+6)/(3+9)

    =-3/12

    = -1/4

8 0
3 years ago
SOMEONE HELP PLEASE! ASAP!
Luba_88 [7]
When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
{x}^{2}  - 6x = 1\div2 \: x + 42 \\  {x}^{2}  - 6x - 1 \div 2 \: x = 42 \\  {x}^{2}  - 6.5x = 42
{x}^{2}  - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2}  - 6.5x - 42) = 2(0)
2 {x}^{2}  - 13x - 84 = 0
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
2 {x}^{2}  - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
{x}^{2}  - 6x =  {(10.5)}^{2}  - 6(10.5) \\  = 110.25 - 63 = 47.25
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
{( - 4)}^{2}  - 6( - 4) = 16 + 24 = 40
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°


6 0
3 years ago
I will mark either the best or the first answer brainliest.
posledela

Answer:

11.x=16 12.x=37

Step-by-step explanation:

11.

20^2-12^2=x^2

256=x^2

x=√256

x=16

12.

13^2-5^2=y^2

144=y^2

y=12

/

y^2+35^2=x^2

12^2+35^2=x^2

1369=x^2

x=37

5 0
3 years ago
Read 2 more answers
Rotate the point A (-3,4) 270°about the origin. Plot A' on the grid.
koban [17]

Answer:

Step-by-step explanation:

it should be (3,4) if not im srry

7 0
3 years ago
A triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). It is translated so that its new coordinates
Alisiya [41]

Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).

Questioon says to find which type of translation occured from the given choices.

It can be easily found by drawing the given coordinates.

Original position of the triangle is drawn in Brwon colour.

New position of the triangle is drawn in Green colour.

From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.


Hence choice "A) It moved left two units and up two units." is the final answer.

4 0
3 years ago
Read 2 more answers
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