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Tju [1.3M]
3 years ago
12

The slope of the line

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

C

Step-by-step explanation:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }= \frac{8-2}{4-2} =\frac{6}{2} =3

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Darina [25.2K]

Answer:

54 is th area

Step-by-step explanation:

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7 0
3 years ago
For the set ​= ​{​2,4,6}, determine ​n(​A)
Katyanochek1 [597]

Answer:

n(A)= 10

Step-by-step explanation:

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3 0
3 years ago
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lidiya [134]

Answer:

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4 0
3 years ago
Read 2 more answers
Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)
aniked [119]

Answer:

3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

ax^2+bx+c    (1)

You have the following polynomial:

3x^2-10x+8    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}

Then, the factorization of the polynomial is:

3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})

5 0
3 years ago
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions ar
34kurt

Answer:

The probability it will land on green every time is \frac{1}{27}.

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

<u>As we know that the probability of an event is described as;</u>

  Probability of an event =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

<em>Now, the probability it will land on green every time is given by;</em>

        Probability =  \frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}

                           =  \frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}

                           =  \frac{1}{27}

Hence, the probability it will land on green every time is \frac{1}{27}.

4 0
3 years ago
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