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2 years ago

Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)

Mathematics

1 answer:

asambeis [7]2 years ago

5 0

Answer:

64n⁴ - 9n¹⁴

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees
Expand by FOIL (First Outside Inside Last)
Exponential Rule: $\displaystyle b^m \cdot b^n = b^{m + n}$

Step-by-step explanation:

Step 1: Define

(8n² + 3n⁷)(8n² - 3n⁷)

Step 2: Expand

FOIL: 64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴
Combine like terms: 64n⁴ - 9n¹⁴

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Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position

Alenkinab [10]

Answer:

$\cos \theta=-\dfrac{8}{17}$

Step-by-step explanation:

Coordinates of Point b $=(-8,15)$

b lies on the circle whose equation is $x^2+y^2=289$

$x^2+y^2=17^2$

Comparing with the general form a circle with center at the origin: $x^2+y^2=r^2$

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

$\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}$

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3 years ago

Convert 12 minutes 35 seconds to seconds :_

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Answer:

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Step-by-step explanation:

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This is the way

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2 years ago

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IRINA_888 [86]

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

A line with a slope of -2 passes thru the point (4,7)

Tpy6a [65]

Answer:

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Step-by-step explanation:

We are asked to write the equation of a line in point slope form

Step 1 : find slope

We are given the slope to be -2

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Step 2: substitute m into point slope form

y - y_1 = m( x - x_1)

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Step 3: substitute the point into the equation

y - y_1 = -2( x - x _1)

( 4 , 7)

x_1 = 4

y_1 = 7

y - 7 = -2( x - 4)

We don't need to open the bracket because we are asked to write the equation in a point slope form

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3 years ago