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Dmitriy789 [7]
3 years ago
13

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0
The vertex is the point at which the parabola or quadratic equation opens up or down. To calculate the parabola, we must use the formula: -b/2a = x; x = -16/2(4) x = -2
Substitute -2 in where you see x appear and do the arithmetic to find that y = -15. Therefore, the vertex coordinates are (-2,-15).
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Select the equivalent expression.
Free_Kalibri [48]

Answer:

\frac{7^{15}}{3^{30}}

Step-by-step explanation:

The given expression is:

(\frac{3^{-6}}{7^{-3}})^{5}

Moving the expression to the other side in the fraction changes its sign to opposite. A numerator with negative exponent, when written in denominator will have the positive exponent. Using this rule, we can write:

(\frac{3^{-6}}{7^{-3}})^{5}\\\\ = (\frac{7^{3}}{3^{6}} )^{5}

The exponent 5 can be distributed to both numerator and denominator as shown:

(\frac{7^{3}}{3^{6}} )^{5}\\\\ = \frac{(7^{3})^{5}}{(3^{6})^{5}}

The power of a power can be written as a product. i.e.

\frac{(7^{3})^{5}}{(3^{6})^{5}}\\\\ =\frac{7^{15}}{3^{30}}

So, the expression similar to the given expression and with positive exponents is: \frac{7^{15}}{3^{30}}

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2 years ago
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A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle
Dennis_Churaev [7]

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

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L = ∅/360 × 2πr

28π = 10/360 × 2πr

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Answer:

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10 - 4x + 3y - 17x

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