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viva [34]
2 years ago
8

Find an equation of the straight line that is perpendicular to the straight line x+2y=5 and that passes through the point (3,7)

Mathematics
1 answer:
Digiron [165]2 years ago
7 0

Answer: y = 2x + 1

Step-by-step explanation:  

Rewrite the equation in standard form:

x+2y=5

2y = -x + 5

y = -(1/2)x + (5/2)

A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here.  The new slope would be 2.  The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:

y = 2x +b

We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.

7 = 2*3 + b

b = 1

The perpendicular line is y = 2x + 1, and goes through point (3,7)

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Hatshy [7]

Answer:

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Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

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3 years ago
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max2010maxim [7]

Answer:

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Step-by-step explanation:

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There are 1,023 M&amp;M's in a bag. Out of 1,023 M&amp;M's, 132 M&amp;M's are blue, 69 are green, 68 are brown, 63 are olive, 62
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The probability that the person pulls 1 blue M&M given that one is only allowed to pull 5 random M&M's per day will be 0.6450.

<h3>How to calculate probability?</h3>

From the information given, there are 1,023 M&M's in a bag and out of 1,023 M&M's, 132 M&M's are blue.

Therefore, the probability of getting a blue M&M will be:

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Therefore, since the person is given the chance to pull 5 random M&M's per day, the probability will be:

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Learn more about probability on:

brainly.com/question/24756209

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