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3 years ago

If M (6,8) is the midpoint of line segment AB, and if A has coordinates (2,3) , find the coordinates of B.

1 answer:

8 0

Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13

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1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe

xxMikexx [17]

Let t represents number of years after 1900

so that means for 1900, value of t is 0

We are given point as (0,55)

and it says that life expectancy increases by 0.2

so that means slope,m=0.2

equation of line is y=mt +b

or y=0.2t +b

now we use point (0,55)

55 =0.2(0) +b

55 =0+b

55= b

so b=55

plug it back into the equation,we get

y=0.2t +55

We are given y=73

so we plug it into the equation we got in part a and solve for t

y=0.2t +55

73 =0.2t +55

73-55 =0.2t

18 =0.2t

18/0.2 =t

90 =t

so t=90

This means the birth year =1900+t =1900+90 =1990

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3 years ago

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r-ruslan [8.4K]

Answer:

1. .002

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3 years ago

Read 2 more answers

a weight lifter can lift 550 pounds. his goal is to improve by 20% during the next year. how many pounds does he want to be able

sattari [20]

The answer is 660 lbs.

Hope this helps!

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3 years ago

One hour after yolanda started walking from x to y, a distance of 45 miles, bob started walking along the same road from y to x.

Rufina [12.5K]

<span>Answer: When bob starts walking The distance between them is 45-3 = 42 miles If they meet at time t then Yolanda would have walked X/3 minutes and Bob would have walked (42-X)/4 mins X/3 = (42-X)/4 so X = 18 Bob would have walked 42-18 = 24 miles.</span>

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3 years ago

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4

7nadin3 [17]

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

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3 years ago