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2 years ago

Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.

Mathematics

1 answer:

creativ13 [48]2 years ago

7 0

9514 1404 393

Answer:

y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

y = mx +c

c = y -mx . . . . . . subtract mx to solve for c

c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

y = 2x -5

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two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?

natulia [17]

Answer:

$Pr = \frac{3}{36}$

Step-by-step explanation:

Given

2 number die

Required

P(Sum = 4)

The sample space of 2 die is:

$S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)$

$(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)$

$(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)$

$n(S)= 36$

The pairs that adds up to 4 are:

$Sum(4) = \{(1,3), (2,2),(3,1)\}$

$n(Sum) =3$

So, the probability is:

$Pr = \frac{n(Sum)}{n(S)}$

$Pr = \frac{3}{36}$

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2 years ago

-15x + 5 = -10x + 25 solve for x

tatuchka [14]

Answer:

Move all terms containing x to the left side of the equation.

−5x+5=25

Move all terms not containing x to the right side of the equation.

−5x=20

Divide each term by −5 and simplify.

x=−4

Step-by-step explanation:

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Answer:

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