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lys-0071 [83]
1 year ago
11

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics
1 answer:
sammy [17]1 year ago
4 0

Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1 ) and (x₂, y₂ ) = (- 2, 3 )

m = \frac{3-(-1)}{-2-4} = \frac{3+1}{-6} = \frac{4}{-6} = - \frac{2}{3} , then

y = - \frac{2}{3} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 3 ) , then

3 = \frac{4}{3} + c ⇒ c = 3 - \frac{4}{3} = \frac{5}{3}

y = - \frac{2}{3} x + \frac{5}{3} ← in slope- intercept form

multiply through by 3 to clear the fractions

3y = - 2x + 5 ( subtract - 2x + 5 from both sides )

2x + 3y - 5 = 0 ← in general form

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If an event has a 55% chance of happening in one trial, how do I determine the chances of it happening more than once in 4 trial
aev [14]

The chances of it happening more than once in 4 trials is 13%

<h3>How to determine the number</h3>

From the information given, we have can deduce that;

Probability of 1 trial = 55%

= 55/ 100

Find the ratio

= 0. 55

We are to find the probability of it happening more than once in 4 different trials

If the probability of it happening in one trial is 555 which equals 0. 55

Then the probability of it happening in 1 in 4 trials is given as;

P(1/4 trials) = 1/ 4 × 55%

P(1/4 trials) = 1/ 4 × 0. 55

Put in decimal form

P(1/4 trials) = 0. 25 × 0. 55

P(1/4 trials) = 0. 138

But we have to know the percentage

= 0. 138 × 100

Multiply the values, we have

= 13. 8 %

Thus, the chances of it happening more than once in 4 trials is 13%

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6 0
2 years ago
A decimal that is equal to the fraction 3/5?
aleksandrvk [35]

Answer:

0.6

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

5 0
2 years ago
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Rus_ich [418]

The answer is B

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175-140= 35

3 0
3 years ago
your quidditch league has 5 teams. you will play a tournament next week in which every team will play every other team once. eac
Airida [17]

The fewest number of days over which the tournament can take place is 5 days.

<h3>How to calculate the number of days?</h3>

As each team plays with other team Once and we have total 5 teams so number of matches will be (4+3+2+1)

Counted as team 1 plays with all other teams = 4 matches

Team 2 plays with team 3,4,5 =3 matches

Team 3 play with team 4,5=2 match

And the last match is between team 4 and team5

Total match = 10 and can be played two matches per day:

Number of days = 10/2

= 5 days.

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8 0
1 year ago
a farmer sells 7.6 kg of apples and pears at the Farmers Market. Two-fifths of this weight is Apple's, and the rest is pairs. Ho
lutik1710 [3]
1/5 = 20% so... 2/5 = 40%
40% of 7.6 is 3.04
Subtract 3.04 from 7.6, you get 4.56

The farmer sells 4.56 kilograms of pears at the Farmers Market.
7 0
2 years ago
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