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Andrei [34K]
3 years ago
5

A line passes through (8,-4) and has slope 2/3. What is an equation in point slope form of the line? An equation of the line is?

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3

Step-by-step explanation:

To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.

y - y1 = m(x - x1)

y - -4 = 2/3(x - 8)

y + 4 = 2/3(x - 8)

Now to find the slope intercept form, you simply  need to solve for y.

y + 4 = 2/3(x - 8)

y + 4 = 2/3x - 16/3

y = 2/3x - 28/3

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Analyze the table below and answer the question that follows.
lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE


8 0
3 years ago
What is the measure of Z if W equals to 116*
RSB [31]

Answer:

Z is also 116*

Step-by-step explanation:

The reason for them being the same is because of something called alternating angles. This process allows you to find two angle measurements by just finding one.

3 0
3 years ago
1
Sveta_85 [38]

Answer:

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A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and th
levacccp [35]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
There are 10,000 people at a concert.
frozen [14]

Answer:

62.5%

Step-by-step explanation:

Total number of people at the concert = 10000

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