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2 years ago

What are the ratios and is this table proportional

Mathematics

1 answer:

Natali5045456 [20]2 years ago

7 0

Answer:

45/1=45

90/2=45

135/3=45

180/4=45

225/5=45

Step-by-step explanation:

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Find the solutions of x^2+30 = 0 please give detailed steps!

murzikaleks [220]

Answer:

x= i√30

Step-by-step explanation:

I'm going to go into this under the assumption that you've covered imaginary numbers based on the question. If I'm wrong then sorry about that.

Okay, so first you want to subtract 30 from both sides

x^2=-30

Then you take the square root of each side.

√(x^2)=√-30

x=√-30

Since it's impossible to square a number to get a negative number, you'll end up with an imaginary number. You have to rewrite x=√-30 to get rid of the negative sign under the radical. Rewriting this will also indicate that it's an imaginary number.

Final answer: x = i√30

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2 years ago

How many distinct 3-letter permutations can you make from the letters in the word HEXAGON?

vesna_86 [32]

<h3>Answer: 210</h3>

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Explanation:

There are 7 unique letters in the word HEXAGON.

For the first slot, we have 7 choices. Then the next slot has 6 choices. Then the third slot has 5 choices. We count down by one each time we need to fill another slot.

Multiply out the values mentioned: 7*6*5 = 42*5 = 210

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Alternatively, you can use the nPr permutation formula with n = 7 and r = 3.

$_n P _r = \frac{n!}{(n-r)!}\\\\_7 P _3 = \frac{7!}{(7-3)!}\\\\_7 P _3 = \frac{7!}{4!}\\\\_7 P _3 = \frac{7*6*5*4*3*2*1}{4*3*2*1}\\\\_7 P _3 = 7*6*5\\\\_7 P _3 = \boldsymbol{210}\\\\$

We have the "7*6*5" show up again after the "4*3*2*1" portions cancel.

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2 years ago