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kirill [66]
3 years ago
13

Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

(-4, -1/2)

Step-by-step explanation:

Just by looking at the graph I can estimate that the midpoint of AB is (-4, -1/2) but we can also use midpoint formula to get a for sure answer.

Midpoint Formula: <em>((x1 + x2)/2, (y1 + y2)/2)</em>

x: (-5 + (-3))/2

   -8 / 2

x = -4

y: (-4 + 3)/2

   -1 / 2

y = -1/2

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True or false? The quadratic equation 10p2 - 5p = -8 has one solution.
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Answer: False

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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
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
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Answer:

A.

In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.

Step-by-step explanation:

We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.

So to get the actual division factor, let's take 3300 and divide it by 30,

3300/30 = 110

So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421

4 0
3 years ago
In your own words, define Quadratic Equation. How many solutions does a Quadratic Equation have?
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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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4 years ago
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3 years ago
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