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Elis [28]
3 years ago
13

a is the point in coordination (1,3) b is the point with coordinates (7,8) find the coordinates of the midpoint of the line segm

ent ab
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
The midpoint is the average of the coordinates of the endpoints.
M = (A + B)/2 = ((1+7)/2, (3+8)/2) = (4, 11/2)

The midpoint of AB is (4, 11/2).
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Work out the difference in minutes, between 1 hour 50 minutes and 1 3/4 hours
m_a_m_a [10]

Answer:

5 mins difference

Step-by-step explanation:

1 3/4 hours = 1 hour and 45mins

50-45=5mins

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Please help me this is due in 5 mins!!!
Mekhanik [1.2K]

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Area: 32 square units

Step-by-step explanation:

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

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Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

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4 0
3 years ago
A souvenir shop sells two sizes of American flags. Small flags cost $3.50 and large flags cost $6.50. On a recent day, 155 flags
Mariulka [41]

Answer:

Small flags = 108

large flags= 47

Step-by-step explanation:

Step one:

given

let the number of small lag be x

and big flags be y

so

3.5x+6.5y= 683.5----------1

x+y=155------------------------2

Step two:

from eqn 2 x= 155-y

put x= 155-y in  eqn 1

3.5(155-y)+6.5y= 683.5

542.5-3.5y+6.5y=683.5

collect like terms

3y=141

divide by 3

y= 141/3

y=47

Step three:

put y= 47 in eqn 2

x+47=155

x= 155-47

x=108

3 0
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Vladimir79 [104]

Answer:14

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Well for the answer you just answer the opposite of the question

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