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2 years ago

14. If m is a positive integer, then which of the

Mathematics

2 answers:

Dmitriy789 [7]2 years ago

7 0

Hello!

Simplifying :

⇒ 4m + 4m + 4m + 4m

⇒ 4(4m)

Bezzdna [24]2 years ago

6 0

4m+4m+4m+4m
4(m+m+m+m)
4(4m)
16m
2⁴m

None of the above

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How many revolutions will a car wheel of 30in make as the car travels 1 mile? (1 mile = 5280ft)?

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3 years ago

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3 years ago

Which of the following is the equation for the graph shown?

Nina [5.8K]

The equation of the hyperbola is $\frac{x^2}{4} -\frac{y^2}{12} = 1$

<h3>How to determine the equation of the graph?</h3>

The points on the graph are given as:

(2, 0) and (-2, 0)
(4, 0) and (-4, 0)
Lines at: x = 1 and x = -1

The hyperbola can be represented as:

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

The points (2, 0) and (-2, 0) means that:

$b = \±2$

Square both sides

$b^2 = 4$

So, we have:

$\frac{x^2}{4} -\frac{y^2}{a^2} = 1$

Also, we have:

a^2 = c^2 - b^2

Where c = 4

This gives

a^2 = 4^2 - 4

Evaluate

a^2 = 12

Substitute a^2 = 12 in $\frac{x^2}{4} -\frac{y^2}{a^2} = 1$

$\frac{x^2}{4} -\frac{y^2}{12} = 1$

Hence, the equation of the hyperbola is $\frac{x^2}{4} -\frac{y^2}{12} = 1$