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3 years ago

The midpoint of AB is M (5,-5). If the coordinates of A are (3,-6), what are the coordinates of B

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer:

(7, -4)

Step-by-step explanation:

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

Enter the values for the highlighted variables to complete the steps to find the sum:

sergey [27]

Answer:

a ⇒ -1

b ⇒ -9

c ⇒ 9

d = 3

e ⇒ 3

f ⇒ 2

g ⇒ 1.5

Step-by-step explanation:

Answers off of Edge 2020

6 0

3 years ago

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A circular lid has a diameter of 12 inches. What is the exact area of the lid? A. 6π square inches B. 12π square inches C. 24π s

kaheart [24]

The area of any circle is equal to $\pi r^2$ , where r is the radius.

We know that the diameter is 12. The radius is always half of the diameter, so the radius of our circle must be 6.

Substitute 6 for r in our equation and simplify.

π6² = π6×6 = 36π in²

6 0

3 years ago

Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla

stiks02 [169]

2*3=6 children Mrs Gomez has

6-2= 4 girls she has

pink carnations/ blue carnations= 4/2=2
⇒ numbers of pink carnations= 2* blue carnations

⇒ 12 pink carnations and 6 blue carnations

5 0

2 years ago

Read 2 more answers

Change 2y-3+18 to the distributive property

Alexxandr [17]

2(y-3) +18

That’s what it looks like

6 0

2 years ago