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3 years ago

The line AB had midpoint (2, 5).A has coordinates (1, 2).Find the coordinates of B.

Mathematics

2 answers:

sveta [45]3 years ago

5 0

Answer:

The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:

Ax + Bx = 2Mx

Ay + By = 2My

2 + Bx = 2*1

5 + By = 2*2

=> Bx = 0

=> By = -1

=> B(0, -1)

Hope this helps!

blagie [28]3 years ago

4 0

Answer:

B(3, 8 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ $\frac{1}{2}$ (x₁ + x₂ ), $\frac{1}{2}$ (y₁ + y₂ ) ]

let the coordinates of B = (x, y ), then

$\frac{1}{2}$ (1 + x) = 2 ( multiply both sides by 2 )

1 + x = 4 ( subtract 1 from both sides )

x = 3

and

$\frac{1}{2}$ (2 + y) = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Thus

coordinates of B = (3, 8 )

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Katarina [22]

[(121212+333)(2)]+555

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3 years ago

Solve for u. u+1/4=-4/5

DedPeter [7]

Answer:

u = (-21)/20

Step-by-step explanation:

Solve for u:

u + 1/4 = (-4)/5

Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:

(4 u)/4 + 1/4 = -4/5

(4 u)/4 + 1/4 = (4 u + 1)/4:

1/4 (4 u + 1) = -4/5

Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:

(4 (4 u + 1))/4 = (-4)/5×4

4×(-4)/5 = (4 (-4))/5:

(4 (4 u + 1))/4 = (-4×4)/5

(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:

4 u + 1 = (-4×4)/5

4 (-4) = -16:

4 u + 1 = (-16)/5

Subtract 1 from both sides:

4 u + (1 - 1) = (-16)/5 - 1

1 - 1 = 0:

4 u = (-16)/5 - 1

Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:

4 u = (-16)/5 - 5/5

-16/5 - 5/5 = (-16 - 5)/5:

4 u = (-16 - 5)/5

-16 - 5 = -21:

4 u = (-21)/5

Divide both sides by 4:

u = ((-21)/4)/5

5×4 = 20:

Answer: u = (-21)/20

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3 years ago

A customer placed an order with a bakery for cupcakes.

oksian1 [2.3K]

Answer:

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6 0

3 years ago

Read 2 more answers

Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and $6,151 million for 201

ExtremeBDS [4]

Answer:

A. 44.82%

Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)

Option b. The Companies would tend to repurchase their own stock if they feel the stock is been undervalued by the market

Step-by-step explanation:

a. Computation for return on equity for 2015

Using this formula

Return on equity = The Net income amount /The Average stockholders' equity amount

Let plug in the formula

Return on equity=2,634.4/[(5,605+6,151)/2]

Return on equity=2,634.4/(11,756/2)

Return on equity=2,634.4/5,878

Return on equity=0.4482×100

Return on equity= 44.82%

b. In a situation where they repurchased over $1.4 billion of its common stock in the year 2015 this means that the RETURN ON EQUITY will usually tend to increases reason been that the repurchase of shares will often reduces the denominator (average stockholders' equity)

Therefore the repurchase increase Starbucks’ Return On Equity.

c. In a situation where Starbucks had not repurchased common stock in the year 2015, what their Return On Equity would have been is that they will repurchase their own stock if they feel the stock is been undervalued by the market

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3 years ago

HELPPPP What is MB 48 96 110 55

Lady_Fox [76]

Minor Arc AC = 110 degrees (given)
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees

Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.

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3 years ago