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2 years ago

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)

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

From visual inspection of the drawn polygon, 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:

$5x-y>-3$

To find:

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

Solution:

We have,

$5x-y>-3$

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$5x-y=-3$

The table of values is:

x y

0 3

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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).

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

Therefore, the required graph is shown below.

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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

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3 years ago

5 more than 20 what is 5 more than 35 What is five more than 50 what is five more than 85

Nadya [2.5K]

5+20=25
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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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The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12

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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The current that will produce the maximum power.

Solution:

We have,

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

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

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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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$P(5)=-12(5)^2+120(5)$

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$P(5)=300$

Therefore, 5 watt current will produce the maximum power of 300 amperes.

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3 years ago