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3 years ago

Simplify the following equation. (I have a file attached that contains a screenshot of the equation)

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

$\frac{n^2}{36}$

Step-by-step explanation:

This is where knowing the exponent rules come into play. The negative exponent applies for both 6 and 2.

The negative exponent rule is basically reciprocal of x. So, if x is the numerator, it gets moved to the denominator, and vise versa. Also, the power of a power applies here too with the implied 1st power.

$(\frac{6}{n} )^{-2}\\(\frac{n}{6} )^{2}\\(\frac{n^{2}}{6^2} )\\\frac{n^2}{36}$

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Simplify (3 + 6i) – (8 - 5i) Select one: a, -5 + i b. 6 C. 16 d. -5 + 11i

Korolek [52]

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

8 0

2 years ago

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One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?

erastova [34]

Answer:

22 degrees

Step-by-step explanation:

Corresponding angles in similar triangles are equal

So the corresponding angle would be 22 degrees

3 0

2 years ago

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3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in

kherson [118]

Answer:

Part A

1.5 seconds

Part B

By substitution and factorization because h = 0 at ground level

Step-by-step explanation:

Part A

The height from which the soccer player heads the ball, h = 6 feet

The initial velocity of the ball, v = 20 ft./s

The height of the ball in feet, h = -16·t² + 20·t + 6

From the given equation of the ball, we have;

At the initial height, t = 0, from the given equation, h = 6

At the ground level, the height, h = 0, therefore, we get;

0 = -16·t² + 20·t + 6

Factorizing using a graphing calculator gives;

0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)

∴ (2·t -3)·(4·t + 1) = 0

t = 1.5 or t = -1/4 = -0.25

Therefore;

The time it takes the ball to hit the ground, t = 1.5 seconds.

Part B

The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.

6 0

2 years ago

Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and

laiz [17]

Answer:

$y=.12x+30$

Step-by-step explanation:

The total cost would be "Y".

"x" is would be "per text message".

12 cents per text message would be .12x.

And then, on top of that, we have to pay $30 per month. ( + 30 )

Put together, the equation should be y = .12x + 30.

3 0

3 years ago

Plzzzzz help me plzzzzzz

lisabon 2012 [21]

Answer: 36

Step-by-step explanation:

(11−9)^2(8−5)^2

=(22)((8−5)^2)

=4(8−5)^2

=4(3^2)

=(4)(9)

=36

4 0

3 years ago

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