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nikklg [1K]
2 years ago
10

Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.

Mathematics
2 answers:
ankoles [38]2 years ago
8 0
  • B(-4,-4)
  • C(-4,-1)

Distance

  • √(x_2-x_1)^2+(y_2-y_1)^2
  • √(-4+4)^2+(-1+4)^2
  • √3²
  • 3 units

Graph is attached

Paul [167]2 years ago
6 0

Answer:

BC = 3 units

Step-by-step explanation:

Given points:

  • A = (2, -2)
  • B = (-4, -4)
  • C = (-4, -1)
  • D = (-2, 3)
  • E = (1, 3)
  • F = (2, 5)

<u>Plot the points</u> on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).

From visual inspection of the <u>drawn polygon</u>, we can see that the length of BC is 3 units.

It is fairly simple to calculate the length of BC without plotting the points.

As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.

⇒ distance = |-4 - (-1)| = |-3| = 3 units

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Svetlanka [38]

Given:

The inequality is:

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To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

5x-y>-3

The related equation for this inequality is:

5x-y=-3

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

5(0)-(0)>-3

0>-3

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

7 0
3 years ago
X=-2y-3 4y-x=9 determine the point of intersection of each pair of lines if one exists. ​
Drupady [299]

Answer: (-5,1)

Step-by-step explanation:

x=-2y-3

4y-x=9

4y-(-2y-3)=9

4y+2y+3=9

6y+3=9

6y=6

y=1

x=-2y-3

x=-2-3

x=-5

8 0
3 years ago
5 more than 20 what is 5 more than 35 <br> What is five more than 50 what is five more than 85
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6 0
4 years ago
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Delvig [45]

Answer:

r = 1/11

Step-by-step explanation:

16r-2r = -3r+6r+1

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7 0
2 years ago
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Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

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Solution:

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P(x)=-12x^2+120x

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Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-12 and b=120. So,

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6 0
3 years ago
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