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Amanda [17]
3 years ago
6

Find the slope given these two points. (-1, 4) and (4, -3)

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

-7/5

Step-by-step explanation:

Since we have 2 points, we can find the slope using

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

   = ( -3 -4)/( 4 - -1)

   ( -3-4) /( 4+1)

   -7/5

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35 solve the following syste
blondinia [14]

Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

   9y-54+4y=20

                  13y=74

                     y=5.692

Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

  =17.076-18

x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

      9+28>20

            37>20

Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

8 0
3 years ago
Suppose a polygon has 72 sides. If the polygon is regular, what is its angle of rotation?
satela [25.4K]
The angle of rotation is the minimum angle in which you rotate a regular polygon such that the figure appears unchanged. The formula for that is dividing one angle of revolution by its number of sides.

Angle of Rotation = 360°/n
Angle of Rotation = 360°/72 = 5°
4 0
3 years ago
Need help with math problem please!!
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Answer:

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5 0
3 years ago
On a coordinate plane, an absolute value graph has a vertex at (10, 6).
lorasvet [3.4K]

Answer: (10, ∞)

Step-by-step explanation:

See the graph in the attached image.

4 0
1 year ago
Read this statement: “If a triangle is isosceles, then it is equilateral.” What is the converse of the statement?
makkiz [27]
From the above statement that <span>“If a triangle is isosceles, then it is equilateral" the only thing i can conclude is </span>If a triangle is equilateral, then it is isosceles.
8 0
3 years ago
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