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Gennadij [26K]
2 years ago
10

Which net represents this rectangular prism?

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0
When a solid figure is unfolded along its edges and its faces are laid out in two dimensions in a pattern, the net of a solid figure is formed. Rectangular networks of prisms are constructed of rectangles and squares.
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A rectangle’s base is 6 cm longer than its height. The rectangle’s area is 135 cm2. Find this rectangle’s dimensions. You must i
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Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

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I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the
blagie [28]

Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

m= \frac{-2-0}{1-(-3)}

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

m = \frac{4-1}{1-(-1)}

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: (\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

(\frac{-3+4}{2}, \frac{2-1}{2})

Simplify:

Midpoint = (1/2, 1/2)

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