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3 years ago

The polynomial equation x^3-4x^2+2x+10=x^2-5x-3 has complex roots 3+-2i What is the other root?

Mathematics

1 answer:

AleksandrR [38]3 years ago

5 0

A cubic equation can only have at most 3 roots. You already have 3 roots. x = 3 ,x = -2i , and x = 2i

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Answer is -66 but show the work of how you got that answer

Greeley [361]

Answer:

-66

Step-by-step explanation:

P(8) = -8^2 - 2

-64 -2 = -66

6 0

3 years ago

Somebody pls help ASAP!

LenaWriter [7]

Answer:

Perpendicular

Step-by-step explanation:

If you look at the image, it shows a rectangular prism. The line CD is next to the line AD. It is perpendicular because someone could draw a right angle where the lines CD and AD meet.

I Hope That This Helps! :)

6 0

3 years ago

My friend needed help with this and I found the height through the theorem but can't figure out how to get the base of the overa

Aleksandr-060686 [28]

You found CD from the Pythagorean theorem to be ...

... CD = √(5² -2²) = √21

Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:

... AC/AD = AB/AC

... AB = AC²/AD

... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle

_____

Then the area (A) is ...

... A = (1/2)bh

... A = (1/2)(12.5)(√21) ≈ 28.64 square units

_____

As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...

... ADC ~ CDB ~ ACB

You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.

6 0

3 years ago

What is the IQR (interquartile range) of the data set? 33, 37, 45, 61, 64, 67

Nataly_w [17]

solution is first os all find median

median is( 45+61)/2=53

find median of no in left of 53

it is 37

find median of no in right of 53

it is 64

now interquartile range=64-53=27

4 0

4 years ago

Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earn

Scorpion4ik [409]

(See attached formula)
Years = log (total / principal) / n*log(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / n*log(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12*log(1 + rate/n)
Years = log (2) / 12 * log (1 + .0625/12)
Years = 0.3010299957 / 12 * 0.0022560803 
Years = 0.3010299957 / 0.0270729635 
Years = 11.1192110871 
I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 * log (1 + .0075/12)
Years = log (2) / 12 * log( 1.000625)
Years = 0.3010299957 / 12 * 0.0002713493 
Years = 0.3010299957 / 0.0032561912 
Years = 92.4485010892
THAT seems a more likely answer with such a low interest rate.

5 0

3 years ago