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boyakko [2]
3 years ago
5

Please give me a step by step explanation on this question.

Mathematics
1 answer:
german3 years ago
5 0

Step-by-step explanation:

  1. Find the rate of drainage for one minute in volume, or cubic centimetres, in this case.
  2. Find the total volume of the prism in cubic centimetres.
  3. Divide the drainage in one minute value by the total volume of the pond.

I hope I helped, and don't forget to rate!

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OLEGan [10]
The question is saying that the line KJ is approximately equal to the line JN and that the line JN is perpendicular to the line NL. The line labeled LKN is shorter than LNK due to the fact that the line segments in LNK are longer because JN is perpendicular to NL:) 
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If (x + 8) is a factor of f(x), which of the following must be true?
Sedaia [141]

Answer:

  • f(-8) = 0

Step-by-step explanation:

If (x+8) is a factor of f(x), then for some expression p, we have ...

  f(x) = (x+8)p

Evaluated at x=-8, this gives ...

  f(-8) = (-8+8)p = 0p

  f(-8) = 0 . . . . must be true

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Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that <em>must</em> be true is the one shown above.

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it looks like its all right to me

Step-by-step explanation:

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3 years ago
Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th
Mariana [72]

The solution to the equations are:

  • 9x² - 36x + 36 = 0 has two equal real solutions
  • x² - x + 4 = 0 has no real solutions
  • The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x\² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-36)\² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x\² - x + 4 = 0

The above equation can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-1)\² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x\² + 23 - 35

Evaluate the difference

4x\² -12

Factor out 4

4(x\² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

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