1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olin [163]
3 years ago
5

3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution, what other solutions must it have?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

Answer:

Option (d) is correct.

For the given polynomial p(x)  if 3 +4i is a root then, 3 - 4i is also the root of p(x).

Step-by-step explanation:

Consider the given polynomial equation p(x) = 0

It is given that the polynomial P(x) has one root 3 + 4i

According to Complex conjugate theorem ,  if V is a polynomial and x + iy is a root of given polynomial then  its conjugate x - iy is also the root of the polynomial.

Thus, for the given polynomial p(x)  if 3 +4i is a root then, 3 - 4i is also the root of p(x).

Thus, option (d) is correct.

True [87]3 years ago
6 0
It must have di 3-4 I as another solution
You might be interested in
I get $5 every 10 seconds how much would I have in 500 mins​
zloy xaker [14]
You would earn $15,000 in 500 mins

First you want to find how many “10 seconds” are in 500mins. To do this convert 500 mins to seconds by multiplying 500 by 60 which will give you 30,000. Next divide 10 by 30,000 which will be 3,000. With that you can multiply by 5 to get how much you would earn in 500 mins. 5*3,000=15,000.

4 0
3 years ago
Read 2 more answers
Select the property that this number sentence illustrates: 2 × 3 = 3 × 2
mina [271]
The commutative property<span />
3 0
3 years ago
Read 2 more answers
Say a random useless fact
SSSSS [86.1K]

Answer:

We believe in improving school management through service and technology, and we’ve never lost sight of our goal — to help schools, administrators, teachers, and families solve the unique challenges they face.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C
natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

x- y - z = -6  \\ \\ 2y + z = -6 \\ \\  3x -8 y = - \dfrac{1}{2}

The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z =  - 5

Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

5 0
3 years ago
Please help?!
Anton [14]

Answer:

Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

QT = 28 ft

TP = 20 ft

In Δ QRS

QR = 15 ft

RS = 14 ft

SQ = 10 ft

To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider  the ratio of the sides

\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}            ..............( 1 )

\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}            ..............( 2 )

\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}            ..............( 3 )

So By equation ( 1 ), ( 2 ) and  ( 3 ) we get

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Now in Δ PQT  and Δ QRS we have

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proved

8 0
3 years ago
Other questions:
  • the temperature of a city Changed by negative 15 degrees Celsius over a five-week. The temperature change by the same amount eac
    13·1 answer
  • Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after
    11·2 answers
  • Carly says she walks 300 mm to school each day is this reasonable
    13·2 answers
  • What is the answer to this equation 24r + 26 = -17
    15·1 answer
  • Can someone please help me out on this?
    15·1 answer
  • Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increase
    13·2 answers
  • The triangles below are similar. 410R 85° 540 859 Which similarity statements describe the relationship between the two triangle
    9·1 answer
  • A salesperson will earn a commission equal to 1/32 of the total sales. what is the commissions earned on the sales totaling 2400
    8·1 answer
  • .Ms. Mathews plays a matching game. In order to advance to the next
    6·1 answer
  • A $35,000 ordinary whole-life insurance policy purchased by abe snyder on may 12, 1975 (abe was born may 11, 1927). find the ann
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!