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andriy [413]
2 years ago
10

Which pony lies on the line described by the equation below? y + 4 = 4 ( x - 3)

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0
(3, -4) is on the line because the equation is point-slope equation where the point (x1, y1) is;
y - y1 = m(x- x1)
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When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a
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Answer:

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Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

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What is the rate of change for y=2x+10
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