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Oliga [24]
3 years ago
7

A linear equation is any equation with a constant rate of change (slope)?

Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

I believe that is correct. But there are other ways to define a linear equations along with this one :)

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Let s = sale

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The ratio is s to h, which can be written as a fraction as 24/6.
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Part B if the height of each prism is 10 Cm what is the surface area prism
Evgen [1.6K]

Answer:

Prism A:

Area = 288cm^2

Prism B:

Area =250cm^2

Step-by-step explanation:

Given

See attachment for prisms

Height(h) = 10cm

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

Area = 2 * A_b + (a + b + c) * h

Where

A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}

and

s = \frac{a + b + c}{2}

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

a = 8; b =6; c =10

So, we have:

s = \frac{a + b + c}{2}

s = \frac{8 + 6 + 10}{2}

s = \frac{24}{2}

s = 12

Also:

A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}

A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}

A_b = \sqrt{576}

A_b = 24

So:

Area = 2 * A_b + (a + b + c) * h

Area = 2 * 24 + (8 + 6 + 10) * 10

Area = 288cm^2

Prism B is a rectangular prism. So, the area is calculated as:

Area = 2 * (ab + bh + ah)

From the attachment

a = b = 5

h =10

So:

Area =2 * (5 * 5 + 5 * 10 + 5 * 10)

Area =250cm^2

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2 years ago
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Answer:

All three sides of the triangle are different lengths.

Step-by-step explanation:

hope this helps :)

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Irina-Kira [14]

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Answer:

  • x ≥ 7
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Step-by-step explanation:

You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.

108. |x -7| = x -7 . . . . . true for x-7≥0

  x ≥ 7 . . . . makes the statement true

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1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:

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