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Mandarinka [93]
3 years ago
14

Find an equation of the line through (2,6) and parallel to y=2x+3

Mathematics
1 answer:
Setler [38]3 years ago
3 0

Step-by-step explanation:

We first Find the Slope of the line y=2x+3

The Slope Intercept Form of the equation of a given line is:

y=mx+c

where m is the Slope of that line, and c is the Y intercept.

For this line, the Slope is 2

So the Slope of the line PARALLEL to y=2x+3 will also be 2. And we are given that it passes through the point (2,6)

The Point-Slope form of the Equation of a Straight Line is:

(y−k)=m⋅(x−h)

m is the Slope of the Line

(h,k) are the co-ordinates of any point on that Line.

Here, we have been given the coordinates (h,k) of 1 point on that line as (2,6)

And the Slope m is 2

Substituting the values of h,k and m in the Point-Slope form, we get

(y−2)=(2)⋅(x−6)

(y−2)=2⋅(x-6)

y−2=2x -12

y=2x -12 +2

y=2x-10

The graph will look like

graph{y=2x -10 10 [10, -10, 5, - 5]}

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
Olegator [25]

Answer:

The probability that occurrence of 8 in ten minutes is 0.0771.

Step-by-step explanation:

Poisson Distribution:

A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter \mu (>0), if the p.m.f is given by

P(X=x)=\frac{e^{-mu}\mu^x}{x!}  for x=0,1,2,...

               = 0,           elsewhere

The mean number of occurrences in ten minutes is 5.3.

Here \mu = 5.3 and x= 8

P(X=8)=\frac{e^{-5.3}(5.3)^8}{8!}

               =0.0771

The probability that occurrence of 8 in ten minutes is 0.0771.

3 0
2 years ago
Is this proportional???
almond37 [142]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
How do I do this????
olga_2 [115]

Answer:The formula is P=2 L=2 W or V= L x W X H

Step-by-step explanation:

3 0
3 years ago
Please help on this khan problem i can't word it right so there is attachments for the introductions and options for answers
Gwar [14]

Answer:

c

Step-by-step explanation:

because it is a outlier we can assume these 2 things:

it influences the mean and median, with the mean being effected more

because we know this, we can now solve the problem

both the median and mean decreased, but the mean decreased more than the median

7 0
2 years ago
Read 2 more answers
Can anyone help me out on this question?
svp [43]

Firstly , we will check continuity at x=1

we can use method

Suppose, f(x) is continuous at x=c

then it must satisfy

\lim_{x \to c} f(x)=f(c)

\lim_{x \to 1} f(x)=f(1)

firstly , we can find limit

\lim_{x \to 1-} f(x)=  \lim_{x \to 1-}(x+3)=1+3=4

\lim_{x \to 1+} f(x)=  \lim_{x \to 1-}(3x+1)=3*1+1=4

so, we get

\lim_{x \to 1} f(x)= 4

now, we can find f(1)

f(1)=3*1+1=4

so, we got

\lim_{x \to 1} f(x)=f(1) =4

so, this is continuous at x=1

Hence , option-D...........................Answer

5 0
3 years ago
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