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yulyashka [42]
4 years ago
13

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and

Mathematics
1 answer:
ella [17]4 years ago
3 0

Answer:

The equation of the line would be y = -3/2x + 9

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 6 = -3/2(x - 2)

y - 6 = -3/2x + 3

y = -3/2x + 9

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A chef cooks rice using a 1: 2 ratio of dry rice to water. Her recipe calls for 9.5 cups of dry rice.
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8 0
3 years ago
This season, the probability that the Yankees will win a game is 0.57 and the probability that the Yankees will score 5 or more
NeTakaya

The probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.57

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.46

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.33

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= 0.57 + 0.33 - 0.46

= 0.44

Thus, the probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

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