Mathematics, 02.09.2020 04:01 falldownguyss

Point A
Astart color #6495ed, A, end color #6495ed is at
(
3
,
4
)
(3,4)start color #6495ed, left parenthesis, 3, comma, 4, right parenthesis, end color #6495ed and point
M
Mstart color #9d38bd, M, end color #9d38bd is at
(
5.5
,
0
)
(5.5,0)start color #9d38bd, left parenthesis, 5, point, 5, comma, 0, right parenthesis, end color #9d38bd.
Point
M
Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point
A
Astart color #6495ed, A, end color #6495ed and point
B
Bstart color #28ae7b, B, end color #28ae7b.

Answers: 3

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Answers

Answer from: ashk6614

Your question is poorly formatted; However, the correct question is:

Point A ( 3 , 4 ) and point M (5.5,0) is the midpoint of point A and point B. Determine the coordinates of B

The coordinates of B is (8,-4)

Step-by-step explanation:

Given

Point A ( 3 , 4 )

Point M (5.5,0)

Required

Determine B

Since, M is the midpoint;

We'll solve this question using the following formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where (x,y) = (5.5,0) and (x_1,y_1) = (3,4)

Substitute values for x, y, x1 and y1 in the above formula;

This gives

$(5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})$

By direct comparison, we have

$5.5 = \frac{3 + x_2}{2}$ and $0 = \frac{4 + y_2}{2}$

Solving $5.5 = \frac{3 + x_2}{2}$

Multiply both sides by 2

11 = 3 +x_2

Subtract 3 from both sides

11- 3 = x_2

x_2 = 8

Solving $0 = \frac{4 + y_2}{2}$

Multiply both sides by 2

0 = 4 + y_2

Subtract 4 from both sides

0 - 4 = y_2

y_2 = -4

Hence;

The coordinates of B is (8,-4)

Answer from: Quest

Ineed show the photo because i need more information

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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