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Snezhnost [94]
3 years ago
14

Give the equation of the line goinng through (4, 6) and parallel to the line 2y-6x=4

Mathematics
2 answers:
alexgriva [62]3 years ago
4 0

Answer:

y = 3x-6

Step-by-step explanation:

First we need to find the slope of the line

2y-6x=4

Solve for y

Add 6x to each side

2y-6x+6x=4+6x

2y = 6x+4

Divide each side by 2

2y/2 =6x/2 +4/2

y = 3x +2

The slope is 3

We want a line parallel, so it will have the same slope

We have a slope and a point

y = 3m+b

Substitute in the point

6 = 3(4)+b

6 =12+b

Subtract 12 from each side

6-12 = 12-12+b

-6 =b

y = 3x-6

chubhunter [2.5K]3 years ago
3 0

Answer:

y = 3x - 6

Step-by-step explanation:

2y = 6x + 4

y = 3x + 2

Slope = 3

y = 3x + c

6 = 3(4) + c

c = 6 - 12

c = -6

y = 3x - 6

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lozanna [386]

1

is the right answer.

because rise is 1 and run is 1 = 1/1 = 1

8 0
3 years ago
Calculate the area of this trapezium.<br> 7.9 cm<br> 6.2 cm<br> 10.8 cm
cestrela7 [59]

Answer:

A = 57.97 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 6.2, a = 10.8 and b = 7.9, thus

A = \frac{1}{2} × 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²

5 0
3 years ago
The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

P(A \cap B \cap C) = P(A)P(B)P(C)

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that P(A) = 0.235, P(B) = 0.258, P(C) = 0.26

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158

0.0158 = 1.58% probability that all of them are under 18.

8 0
3 years ago
What’s the work and answer for this? Someone please tell me
Yuliya22 [10]

Answer:

3

Step-by-step explanation:

3 0
2 years ago
Help lol <br> question 1 and 2 <br> 15 points
DiKsa [7]

Answers:

  1. Choice B) y = (1/4)x
  2. The unit rate is <u>  3.89  </u> dollars per pound. It costs <u>  23.34  </u> dollars for a turkey that weighs 6 pounds.

=====================================================

Explanations:

  1. Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
  2. Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.
6 0
3 years ago
Read 2 more answers
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