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emmasim [6.3K]
3 years ago
10

15. What is the midpoint between the two points A(4, -6) and B(-6,-4)

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0
It’s C.

There are a lot of ways to do midpoint, but I like to separate it into x and y and then combine the two. If you find the average of the two x coordinates ((A(x) + B(x) / 2), you get the midpoint of the x’s.

4 + (-6) = -2
-2 / 2 = -1
-1 is the x, now do the same for the y.

-6 + (-4) = -10
-10 / 2 = -5
-5 is the y.

All you have to do now is format it. It’s always (x, y) so the answer is (-1, -5) or C.
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4 years ago
Given the polynomial, 8x^2 + 3x - 5, identify the following:
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Answer:

Part A) The polynomial has three terms

Part B) The terms are  8x^{2} , 3x\ and\ -5

Part C) Is a 2nd degree polynomial

Part D) The name of the polynomial is a 2nd degree trinomial

Step-by-step explanation:

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

we have

8x^{2} +3x-5

The polynomial has three terms

The terms are

8x^{2} , 3x\ and\ -5

therefore

The polynomial is a trinomial

The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

The term is 8x^{2}

The highest exponent is the 2 so this is a 2nd degree polynomial

therefore

The name of the polynomial is a 2nd degree trinomial

8 0
4 years ago
Find an equation of the line through (3,6) and parallel to y = 4x - 7.
FromTheMoon [43]

Answer:

y=4x-6

Step-by-step explanation:

Okay, to do this we must understand what parallel means.

parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,

y=4x+c.

Now lets find c.

To do this, plug the point (3,6) into the equation

6=4(3)+C

6=12+C

-6=C

Thus now that we know C, our equaiton is

y=4x-6

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3 years ago
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Answer:

its

Step-by-step explanation:

b

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If we inspect photocopy paper by randomly drawing 5 sheets without replacement from every pack of 500, what is the probability o
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Answer:

98.01% probability of getting 5 clean sheets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

0.4% of the sheets contain spots

Of 500, that is 0.004*500 = 2.

What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?

Desired outcomes

2 are defective, so 5 sheets from a set of 500 - 2 = 498.

D = C_{498,5} = \frac{498!}{5!493!} = 250160254344

Total outcomes

5 sheets from a set of 500.

T = C_{500,5} = \frac{500!}{5!495!} = 255244687600

Probability:

P = \frac{D}{T} = \frac{250160254344}{255244687600} = 0.9801

98.01% probability of getting 5 clean sheets

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4 years ago
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