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Hitman42 [59]
3 years ago
8

Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2

Mathematics
1 answer:
seraphim [82]3 years ago
3 0

Answer:

The equation of the line would be y = 3x - 10

Step-by-step explanation:

To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of 3, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 4 = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 10

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What is 9.36•10~4 in standard form
marta [7]
With exponents of 10, the exponent really just tells you how many zeroes there are behind the 1. So, for example, 10^4=10000 (4 zeroes behind 1). When multiplying decimals by exponents of 10, you move the decimal to the right, and the amount of places is the exponent number. For example, if I multiply 5.34 by 10^2, I move the decimal over to the right 2 times and get 534.

So, if you just multiply these you get 9.36*10000, which is 93600.
8 0
3 years ago
How many times longer is 3 1/2 to 2 1/2
Alik [6]

Answer:

1.4 times as long

Step-by-step explanation:

3 1/2 (convert to mixed number) --> 7/2

2 1/2 (convert to mixed number) --> 5/2

(7/2) / (5/2) --> 7/5 --> 1.4

3 0
2 years ago
Read 2 more answers
What is the answer to 3/x-2 is ≥12
Tju [1.3M]

Answer:

The answer to your question is 0 < x ≤ 3/14

Step-by-step explanation:

Here are the steps to solve it.

First, you need to solve your inequality step-by-step:

3/x −2 ≥ 12

-2x + 3/x = ≥12

Next, find the critical points of the inequality:

2x + 3/x = 12

−2x + 3 = 12x (Multiply both sides by x)

−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)

−14x + 3 = 0

−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)

−14x = −3

-14x/ -14 = -3/ -14 (Divide both sides by -14)

So, that gives you your answer:

x = 3/14

3 0
3 years ago
Factor the following:<br><br> 5∙(a+3)^2-(a+3)
Zanzabum

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Factor the polynomial.

(a+3)(5a+14)

3 0
2 years ago
The equation of line f is y = 1/4x -1. line g includes the point (1,-6) and is perpendicular to line f . What is the equation of
Gwar [14]
Y=-4x+b
-6=-4+b
-2=b
y=-4x-2
7 0
3 years ago
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