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Inga [223]
3 years ago
11

3. 4 more than the difference of x and 7.

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

y = (x - 7) + 4

Step-by-step explanation:

4 more = + 4

difference = (-)

y = (x - 7) + 4

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John is trying to drain a swimming pool. He has two pumps, but he can only use one at a time. He knows that the time a pump take
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the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
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8 0
3 years ago
Which ordered pair is a solution of the equation 4x-2y=16?
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Substitute the coordinates of points to the equation.

4x-2y=16

A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}

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Which is the correct formula to find the distance between two points (p,q) and (m,n)?
Dafna1 [17]

Answer:

The answer is d = √[(p - m)² + (q - n)²] ⇒ first answer

Step-by-step explanation:

* The distance between any to points (x1 , y1) , (x2 , y2) is

- d = √[square the difference of x- coordinates plus

        square the difference of y-coordinates]

∴ d = √[(x2 - x1)² + (y2 - y1)²] or

∴ d² = (x2 - x1)² + (y2 - y1)²

* x2 - x1 is the horizontal distance (h) and y2 - y1

 is the vertical distance (v)

- By using Pythagoras theorem

∴ d = √[h² + v²]

∵ The two points are (p , q) and (m , n)

- Put x1 = m and y1 = n

- Put x2 = p and y2 = q

∴ d² = (p - m)² + (q - n)²

∴ d = √[(p - m)² + (q - n)²]

∴ The answer is d = √[(p - m)² + (q - n)²] ⇒ first answer

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