Please help answer all please

Mathematics

1 answer:

Amanda [17]3 years ago

4 0

Answer:????

Step-by-step explanation:

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Simplify by combining like terms: 3x + 2 + x + 7

velikii [3]

4x +9

3x and x are like terms
And 2 and 7 are like terms

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3 years ago

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marysya [2.9K]

Angle 6 and Angle 7 are each 90° since they’re on a straight line and are both equal.
180-90= 90
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3 years ago

Every terminating decimal is a rational number True or False ?

wel

Answer:

True

Step-by-step explanation:

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3 years ago

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Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)

Xelga [282]

Answer:

$\frac{x^2}{16}-\frac{b^2}{4}=1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

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

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4$