All categories

3 years ago

The value of (1-w) (1 -w^2), where w is the cube root of a complex number is

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Answer:(1-w) (1-w*2)

=1-w*2-w+w*3

=1-w-w*2+1

=1-1+1

Step-by-step explanation:

at first we should multiply them with each other

then, put the value of w*3 i.e. w*3=1

then, put the value of -w-w*2 i.e. 1

then, the final answer is 1.

You might be interested in

Why did the kangaroo go see a psychiatrist

lara [203]

Because he always felt jumpy

4 0

3 years ago

Read 2 more answers

If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be a paralle

posledela

Answer:

$x=12\\y=\frac{13}{3}$

Step-by-step explanation:

For it to be a parallelogram, opposite sides have to be of same length.

OL = NM, and
ON = LM

Using the expressions given, we can make 2 equations:

Equation 1:

$OL=NM\\3y-6=x-5\\-x+3y=1$

Equation 2:

$ON=LM\\8x-8=7x+4\\$

Solving equation 2, we have x:

$8x-8=7x+4\\8x-7x=4+8\\x=12$

Plugging this value of x into equation 1, we can solve for y:

$-x+3y=1\\-(12)+3y=1\\-12+3y=1\\3y=13\\y=\frac{13}{3}$

So,

$x=12\\y=\frac{13}{3}$

7 0

3 years ago

For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost

andreev551 [17]

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

$\frac{AB}{ED}= \frac{CB}{CD}$

$\frac{1.75}{ED}=\frac{2.6}{13.75}$

ED = $\frac{1.75\times 13.75}{2.6}$

ED = 9.25 m

Height of the goalpost is 9.25 m.

4 0

3 years ago

A fraction in hundredths equal to 7/10 is?

qaws [65]

The answer is 70/100ths i am pretty sure

5 0

3 years ago

Cuanto es (8÷9) 6×19 ?

ioda

First do 8 divided by 9 = 0.88 x 6 x 19 start from the left and work to the right 0.88 x 6 = 5.33 x 19 = 101.3

7 0

3 years ago