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2 years ago

Write the phrase as a numerical expression.

Mathematics

1 answer:

mariarad [96]2 years ago

7 0

3. 8+5

4. 2x - 8

Step-by-step explanation:

3. for example : 5 more than the number means

x+5 so that's how we get the answer as 8+5

4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.

secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8

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What are vertices of the conic 16x² - 25y² = 400 ?

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Answer:

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Step-by-step explanation:

This equation fits the form for a hyperbola with x-intercepts. The standard form for such an equation is

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

To get the equation in the question into this standard form, divide each term by 400.

$\frac{16x^2}{400}-\frac{25y^2}{400}=\frac{400}{400}\\\frac{x^2}{25}-\frac{y^2}{16}=1$

To find the x-intercepts, make y = 0.

$\frac{x^2}{25}=1\\x^2=25\\x=\pm 5$

The vertices are located at the points (-5, 0) and (5, 0).

Note: There are no y-intercepts; making x = 0 produces no real solutions for y.

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