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zhuklara [117]
3 years ago
8

What is the equation of the line through the origin and (-4,-9)

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer:

y = 9/4x

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

    = (-9-0)/(-4-0)

    = -9/-4

    =9/4

We know the y intercept is 0 since it goes through the origin

We can use the slope intercept form of the equation

y = mx+b

y = 9/4 x +0

y = 9/4x

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The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.

We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.

a) The cosine values repeat every 2π, so the general form of the smallest angle will be

... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ

b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is

... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ

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4 years ago
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AleksAgata [21]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Recently, six single-family homes in San Luis Obispo County in California sold at the following prices (in $1,000s): 560, 468, 6
solmaris [256]

The interval for mean sale price is $582

According to statement

The given rates are 560, 468, 685, 534, 658, 593

Now,

Sample mean = X / n

Put the values in it and then

(560+ 468+ 685+ 534+ 658+ 593) / 6 = 582.1667

and use this formula S = sqrt [ X2 - n 2 / (n-1) ]

and put the values in these and

S = sqrt [ X2 - n 2 / (n-1) ] = 95.97179

So, The interval for mean sale price is $582

Learn more about SAMPLE MEAN here

brainly.com/question/16794295

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2 years ago
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dolphi86 [110]

Answer:

wrong answer.

Right answer: √30 ≈ 5.48

Step-by-step explanation:

The answer for √2 × √15 is not 30, that answer is wrong

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Hope this help you :3

3 0
3 years ago
Please help me!!! i need help!!!
il63 [147K]

Answer:

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Step-by-step explanation:

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