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3 years ago

A polynomial has one root that equals 5-7i. Name one other root of this polynomial

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

Answer:

The other root of the polynomial is 5+7i.

Step-by-step explanation:

According to the complex conjugate root theorem, if a complex number is a root of a polynomial, then its conjugate is also a root of that polynomial.

It means, if a+ib is a complex root of a polynomial, then its conjugate a-ib is also the root of that polynomial.

It is given that the a polynomial has one root that equals 5-7i.

To find the conjugate of a complex number the sign of imaginary part is changed.

The conjugate of 5-7i is 5+7i.

A polynomial has one root that equals 5-7i, using complex conjugate root theorem 5+7i is the other root of this polynomial.

mezya [45]3 years ago

4 0

Answer:

The other root is 5 + 7i.

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3 years ago

what is the slope-intercept form of this equation? 8x 6y=12 a) y=-4/3x 2 b)y=-4/3x 6 c)y=4/3x 6 d)y=2/3x 2

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2 years ago

Can someone please answer for d and b

r-ruslan [8.4K]

Answer:

d=2√2, b= $\frac{3\sqrt{2}}{2}$

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

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sides, 1-1-√2

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2 years ago

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3 years ago

Kadeem rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which equation represents the amount of time in minutes,

sashaice [31]

Answer:

Step-by-step explanation:

Speed is the rate of change of distance over time.

The equation represents the amount of time t is \mathbf{t = 5 d}t=5d

Speed is calculated using:

\mathbf{Speed = \frac{distance}{time}}Speed=timedistance

When distance = 1 mile, and time = 5 minutes.

We have:

\mathbf{Speed = \frac{1}{5}}Speed=51

When distance = d, and time = t

We have:

\mathbf{Speed = \frac{d}{t}}Speed=td

Substitute \mathbf{Speed = \frac{1}{5}}Speed=51

\mathbf{\frac{d}{t} = \frac 15}td=51

Cross multiply

\mathbf{t = 5 \times d}t=5×d

\mathbf{t = 5 d}t=5d

Hence, the equation represents the amount of time t is \mathbf{t = 5 d}t=5d

5 0

2 years ago

Read 2 more answers