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andreyandreev [35.5K]
3 years ago
12

Write an equation of a line that passes through the following two points: (4,-6) and (2,8).

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

y=-7x+22

Step-by-step explanation:

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True or false? The quadratic equation 10p2 - 5p = -8 has one solution.
pav-90 [236]

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

  • a = 10
  • b = -5
  • c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

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2 years ago
Simplify the expression. Write your answer as a power.<br><br> 8^10⋅8^4
topjm [15]

8^14 is the answer.

This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together

3 0
3 years ago
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An angle measures 3π4 radians.
Murljashka [212]

Answer:

135°

Step-by-step explanation:

π : 180

3π/4 : 180 × 3/4 = 135

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Which of the following systems of inequalities represent the graph?
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The answer to your question is 2 and 4.
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