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Katen [24]
2 years ago
12

Write each expression using exponents

Mathematics
1 answer:
konstantin123 [22]2 years ago
6 0

Answer:

almost positive

Step-by-step explanation:

w^3(x^4 y)

3^3(a x b^4)

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Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to
Alex17521 [72]

Answer:

u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis

Step-by-step explanation:

Given that y = 2x² + 6

The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.

For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.

Therefore y = 0² + 6 = 0

The intercept is at (0,6) and is symmetrical with respect to the y-axis

3 0
3 years ago
Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

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3 years ago
Anyone know the answer ?
vodomira [7]
Hello
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I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)
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there are no instructions

Step-by-step explanation:

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In rhombus MNPQ, diagonals MP and NQ intersect at point K. If m_MQP = 56', then which of the
Murrr4er [49]

the answer is 90 degrees

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3 years ago
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