All categories

3 years ago

point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?

Mathematics

1 answer:

irina [24]3 years ago

4 0

Answer:

B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

M = (A +B)/2

2M = A + B . . . . . multiply by 2

2M -A = B . . . . . . subtract A to get an expression for B

You might be interested in

There is 1/4 ounce of yeast in every 2 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounce

tatyana61 [14]

Here is the set up:

(1/4)/2 = (9/4)/y

Solve for y.

3 0

3 years ago

Three times a number minus thirty-two

lbvjy [14]

Answer:

3n−32=7n+28

n=-15

Step-by-step explanation:

Let's solve your equation step-by-step.

3n−32=7n+28

Step 1: Subtract 7n from both sides.

3n−32−7n=7n+28−7n

−4n−32=28

Step 2: Add 32 to both sides.

−4n−32+32=28+32

−4n=60

Step 3: Divide both sides by -4.

−4n/−4=60/−4

n=−15

3 0

3 years ago

X/2+1=6 i need help please

jasenka [17]

Answer:

x = 10

Step-by-step explanation: 10/2 = 5 + 1 = 6

8 0

3 years ago

Read 2 more answers

Ticket for football final selling well, on Thursday 4/7 of the tickets are sold, on Friday 1/4 of the tickets are sold, What fra

sergij07 [2.7K]

Answer:

5/28

Step-by-step explanation:

1/1 represents the whole amount of tickets.

4/7 are sold on Thursday.

an additional 1/4 are did on Friday.

fraction of available tickets on Saturday are therefore

1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1

that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.

so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.

we could have also tried to bring both fractions to the same denominator, and found that this is 28.

and then

4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =

= 16/28 + 7/28 = 23/28

and the whole is 28/28.

so we have 28/27 - 23/28 = 5/28 left.

surprise, surprise, it is the same result ...

4 0

2 years ago

Solve this showing work. worth 50 points

goldfiish [28.3K]

Answer:

10. X=3

11. FG=15

12. QS=34

Hope this helps

Step-by-step explanation:

10. 8x+11=12x-1

8x-12x=-1-11

-4x=-12

x=3

11. 11x-7=3x+9

11x-7=-9+7

8x=16

x=2

Substitute the (x)

11(2)-7 =15

12. 5x-3=21-x

5x+x=21+3

6x=24

x=4

Substitute the (x)a

5(4)-3=17

21-(4)=17

17+17=34

6 0

3 years ago