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3 years ago

P(x) with rational coefficients has the given roots (i and 7 + 8i) Find two additional roots?

1 answer:

3 0

P ( x ) has the given roots: ( i, 7 + 8 i ).
The complex roots of a polynomial P ( x ) with rational coefficients come in pair as:
a + b i and a - b i;
Additional roots are: - i, 7 - 8 i.

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Find the area of this parallelogram

IgorLugansk [536]

Answer:

Area of parallelogram= base × perpendicular height

base= 20cm height= 13

Area= 20cm×13cm

Area= 260cm²

Therefore the area of the parallelogram is 260cm²

5 0

3 years ago

Solve this question fast....in the attachment

avanturin [10]

Answer:

z = 4

y = -1

x = 2

Step-by-step explanation:

x - y = 3

Therefore => x = 3 + y

y + 2z =7

Therefore => y= 7 - 2z

We have the equation :

2x + 3y + 4z = 17

2(3 + y) + 3(7 - 2z) + 4z = 17

6 + 2y + 21 - 6z +4z = 17

2(7 -2z) - 2z + 27 = 17

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3 years ago

A meseum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,h

shusha [124]

Answer:

there are 13 people in the group

Step-by-step explanation:

First step is to subtract the one-time fee from the cost

$60 - $8 = $52

Second step is to divide by the cost per person

⇒ $52/$4 = 13

8 0

4 years ago

Read 2 more answers

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km

sammy [17]

Answer:

0.5 hour

Step-by-step explanation:

Given

Speed of Dina = 10 km/h

Distance = 20 km

So the time Dina taken to complete the track is:

$Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours$

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,

her distance covered in 2 hours was:

$Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km$

So we know the time and distance:

Now,

$Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour$

We have to calculate the time that will be needed by MAsha to complete the track:

As we know the speed and remaining distance

$Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours$

Masha needs 0.5 hour to complete the track ..

7 0

3 years ago

Read 2 more answers

Sixty percent of those who attended the soccer game were parents. There were 120 people who attended the soccer game. How many p

iren [92.7K]

Answer: 48, 25%, 125 , 60, 80

Step-by-step explanation:

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3 years ago