3 years ago

Write the equation of a line in point-slope form of the line that has a slope of 2 and goes through the point (3, -1).

Mathematics

1 answer:

stepan [7]3 years ago

8 0

<span>equation of a line in point-slope form
y + 1 = 2(x - 3)

hope it helps</span>

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Simplify: -6(-8) + 15 =

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Answer:

Step-by-step explanation:

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2 years ago

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Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?

Dovator [93]

The equation of the elipse is given by:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

The equation of an elipse of center $(x_0, y_0)$ is given by:

$\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0$

Values a and b are found according to the <u>vertices and the eccentricity</u>.

It has vertices at (1,0) and (27,0), thus:

$x_0 = \frac{27 + 1}{2} = 14$

$y_0 = \frac{0 + 0}{2} = 0$

$a = \frac{27 - 1}{2} = 13$

$a^2 = 169$

It has eccentricity of $\frac{5}{13}$ , thus:

$\frac{5}{13} = \frac{c}{a}$

$\frac{5}{13} = \frac{c}{13}$

$c = 13$

Thus, b is given according to the following equation:

$c^2 = a^2 - b^2$

$b^2 = a^2 - c^2$

$b^2 = 169 - 25$

$b = \sqrt{144}$

$b = 12$

The equation of the elipse is:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

A similar problem is given at brainly.com/question/21405803

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2 years ago

Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 yogurt cups in the cas

riadik2000 [5.3K]

Answer: 18 strawberry yougurt cups

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2 years ago

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Product A is a 12-ounce bottle of generic mouthwash that sells for $1.15. Product B is a 24-ounce bottle of mouthwash that costs

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12 oz = 1.15
24 oz = 2.79
Let's see if 2x12oz is equal, less, or more than the 24oz.
1.15 x 2 = 2.30
2.30<2.79
The 12 oz is a better buy.

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2 years ago

Ming wrote the table of points below.

borishaifa [10]

Answer:

I am 99.99% sure it is the first one

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2 years ago