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2 years ago

Robert has 99 buttons. Jack has b more buttons than Robert. Choose the expression that shows how many buttons Jack has

Mathematics

1 answer:

MAVERICK [17]2 years ago

5 0

Solution:

Note that:

Robert + b = Jack
Robert = 99 buttons

Substituting the values into the equation:

Robert + b = Jack
=> 99 + b = Jack

This means that Jack has 99 + b buttons.

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Given z1 = 1+i and z2 = 2+3i.

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Answer:

(a) $w=2+5i-6=-4+5i$

Multiplicative inverse of w will be $\frac{1}{-4+5i}$

(B) As w is same as the product of $z_1\ and\ z_2$

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

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(a) First we have to find $w=z_1z_2$

So $w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2$

As we know that $i^2=-1$

So $w=2+5i-6=-4+5i$

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be $\frac{1}{-4+5i}$

Because when we multiply $-4+5i$ with $\frac{1}{-4+5i}$ it gives result as 1

(b) As w is same as the product of $z_1\ and\ z_2$

So there multiplicative inverse will also be same

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