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3 years ago

The midpoint of AB is M(7,-5). If the coordinates of A are (6,-7), what are the coordinates of B?

Mathematics

1 answer:

Virty [35]3 years ago

4 0

Answer:

_____________________

a(6,-7) m(7,-5) letb(p,q)

Now,

Let a(6,-7) be x1 ,y1

Let b(p,q) be x2,y2

x,y = (7,-5)

Using Mid point Formula,

x = x1+x2 y= y1+y2

_____ , _____

2 2

7 = 6+p -5 = -7+q

___ , ____

2 2

or, 7×2=6+p , -5×2= -7+q

or, 14=6+p , -10= -7+q

or, p=14-6 , q= -7+10

p=8 , q= 3

Step-by-step explanation:

So , The coordinate of B(8,3)

Thank you

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2) The price when no consumers willing to buy this commodity is $1200.

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Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

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1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, $p_1=\$900$ and $x_1=75\text{ pounds}$

and $p_2=\$956$ and $x_2=75-14=61\text{ pounds}$

To find the demand equation we apply two point slope form,

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Substitute x=0 in demand equation,

$0=-0.25p+300$

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$p=\frac{300}{0.25}$

$p=1200$

The price when no consumers willing to buy this commodity is $1200.

3) For free,

Substitute p=0 in demand equation,

$x=-0.25(0)+300$

$x=300$

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