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galina1969 [7]
3 years ago
6

Which of the following are Binomials

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

C and E

Step-by-step explanation:

Examples of binomials (two terms) :

9a - 5

3x + 6y

-4t + 2

Examples of monomials (one term) :

6x

10z

4a

Examples of trinomials (three terms) :

7y - 3x + 4

8x + 7 - 2a

4x + 9y + 5

(There can also be exponents and fractions in any kind: binomial, monomial, or trinomial.)



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Match each complex number with its equivalent expression i^157 i^315 i^102 i^76
ryzh [129]

Answers:

i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\

=====================================================

Explanation:

By definition, i = \sqrt{-1}

Squaring both sides gets us i^2 = -1

Then multiply both sides by i to get i^3 = -i

Repeat the last step and you should get i^4 = -i^2 = -(-1) = 1

---------------

Notice we have this pattern going on:

i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

i^{157} = i^1 = i

---------------

Similarly,

315/4 = 78 remainder 3

So i^{315} = i^3 = -i

---------------

102/4 = 25 remainder 2

i^{102} = i^2 = -1

----------------

76/4 = 19 remainder 0

i^{76} = i^0 = 1

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2 years ago
Write the slope intercept form of the equation with slope 8 and y intercept (0,7)
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Use the form y=mx+b

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b=7

So y=8x+7

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