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3 years ago

What is the value of x? Please help ASAP 20 Pts.

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Where is the attachment?

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The midpoint of AB is M (0, -3). If the coordinates of AA are (2, 1) what are the coordinates of BB?

frez [133]

Answer:

B(-2, -7)

Step-by-step explanation:

Midpoint is (0, -3)

A(x₁, y₁) B(x₂, y₂)

A(2, 1)

$Midpoint = (\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2} )\\\\Midpoint = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$(0, -3) = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$\frac{2+ x_{2} }{2} = 0\\\\2 + x_{2} = 0\ \ \ \ times\ both\ sides\ by\ 2\\x_{2} = -2\ \ \ \ subtract\ both\ sides\ by\ 2$

$\frac{1 + y_{2} }{2} = -3\\\\1 + y_{2} = -6\ \ \ \ times\ both\ sides\ by\ 2\\y_{2} = -7\ \ \ \ subtract\ both\ sides\ by\ 1$

∴ B(-2, -7)

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2 years ago

Luke buys a bicycle that is on sale for 1/2 of the original price. The sale price is $80 less than the original price. What is t

dezoksy [38]

160. 80 is half of 160.

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3 years ago

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A boat takes 4 hours to go 12 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and t

galina1969 [7]

The speed upstream is the difference between the boat speed and the current speed. It is (12 mi)/(4 h) = 3 mph.

The speed downstream is the sum of the boat speed and the current speed. It is (32 mph)/(4 h) = 8 mph.

The speed of the boat is the average of these: (3 + 8)/2 = 5.5 mph.

The speed of the current is that less the difference: 5.5 - 3 = 2.5 mph.

_____

<u>Check</u>

Boat + Current = 5.5 + 2.5 = 8 mph

Boat - Current = 5.5 - 2.5 = 3 mph

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marta [7]

Answer:

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Step-by-step explanation:

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