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il63 [147K]
3 years ago
14

3. Calculate the slope of a line passing through the points (- 2, 4), (- 1, 1) , and (1, - 5)

Mathematics
1 answer:
katovenus [111]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

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

To find the slope we need to use 2 points.

For example,

(- 2, 4), (- 1, 1)

m = (4 - 1)/(- 2-(-1)) = 3/(-1) = -3

or

(- 1, 1) , and (1, - 5)

m = (1-(-5))/(-1-1)= 6/-2 = -3

So, if we have a line , we can use any 2 points to find the slope.

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What is the magnitude and direction of with tail and head points M(-3, -2) and N(4, 0)?
vfiekz [6]

Answer:

Step-by-step explanation:

difference of x-coordinates = 4-(-3) = 7

difference of y-coordinates = 0-(-2)  = 2

length of MN = √(7²+2²) = √53 ≅ 7.28 units

tanθ = 2/7

θ = arctan(2/7) ≅ 15.9°

heading = 74.1° from north

3 0
3 years ago
An artist is mapping out proposed new features for a triangular reflecting pool. She sketches the pool on grid paper. The coordi
xeze [42]

Answer:

<em>C. (7, 0)</em>

Step-by-step explanation:

<u>Circumcenter of a Triangle</u>

The circumcenter is a point where all the tangent lines of the midpoints of the three sides meet.

The coordinates of the vertices of the pool are (3, 3), (11, 3), and (3, −3). Please refer to the image below where the three midpoints are also shown. Since the triangle is right and two of its sides are parallel to the x-axis and the y-axis, the coordinates of the midpoints are very easy to find

Midpoint of (3, 3), (11, 3)=([3+11]/2,[3+3]/2)=(7,3)

Midpoint of (3,3), (3,-3) =([3+3]/2,[3-3]/2)=(3,0)

The intersection of both lines (shown in red) is the point (7,0) which is also the midpoint of (3,-3), (11,3). Thus this point is where all the midpoints meet.

Answer: C. (7, 0)

8 0
4 years ago
Help plzzzzzzzzzzzzzz ​
Anna11 [10]

Answer:

i am not sure try 56

Step-by-step explanation:

Hope this helps!:)

4 0
3 years ago
In the equation 0.5x - 8 = 1.5, the decimal coefficient is
Keith_Richards [23]

We have been given an equation 0.5x - 8 = 1.5. We are asked to find the decimal coefficient of the equation.

We know that coefficient of an equation is the number multiplied by variable.

We can see that -8 and 1.5 are constants for our given equation.

We can see that variable of our given equation is x. We can also see that x is being multiplied by 0.5, therefore, 0.5 would be the decimal coefficient of our given equation.

4 0
3 years ago
If a pizza is cut into twelve pieces and Tommy ate 1/4 of the pizza, how much would be left?
GalinKa [24]
There would be 9 pieces left. 1/4 of 12 = 3, stay in school young blood! :D
5 0
3 years ago
Read 2 more answers
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