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2 years ago

M is the midpoint of AB. If the coordinates of A are (-1,5), and the coordinates of M are (3,3), what are the coordinates of B?

Mathematics

1 answer:

borishaifa [10]2 years ago

4 0

Answer:

B = (5, 1).

Step-by-step explanation:

From the formula for the midpoint of a line :-

(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2) where x and y are the coordinates of B.

so (-1 + x)/2 = 6/2

-1 + x = 6

x = 5.

and (5 + y)/2 = 6/2

5 + y = 6

y = 1.

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Answer:

Slope = $\frac{1}{5}$

Equation of the line is $y=\frac{x}{5}$

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

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3 years ago

Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5

olga_2 [115]

Answer:

c+p = 53

2.5c+1.5p = 105.5

p = 27

c= 26

Mrs. Johnson earned 65

Mr Smith earned 40.5

Mrs Johnson earned 24.50 more

Step-by-step explanation:

Let c = cookies sold

p = popcorn sold

The number of items sold is 53

c+p = 53

The total cost of the items sold is 105.50

The number of cookies sold times 2.50 plus the number of popcorn sold times 1.50 = 105.50

2.5c+1.5p = 105.5

System of equations:

c+p = 53

2.5c+1.5p = 105.5

Multiply the second equation by 10 to clear the decimals

10 *(2.5c+1.5p) = 10*105.5

25c+15p = 1055

Divide by 5

25c/5 +15p/5 = 1055/5

5c+3p =211

Multiply equation 1 by -5

-5(c+p)=-5*53

-5c-5p=-265

Add the equations

5c+3p =211

-5c-5p=-265

---------------------

-2p = -54

Divide by -2

-2p/-2 = -54/-2

p = 27

Now we need to find c

c+p = 53

c+27 = 53

Subtract 27 from each side

c+27-27 = 53-27

c= 26

Mrs. Johnson earned the number of cookies times 2.5

c* 2.5

26*2.5 =65

Mr Smith earned the number of popcorn times 1.5

p*1.5

27*1.5

40.5

Mrs Johnson earned 65-40.5 = 24.50 more

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3 years ago