Apoint of the form 25 +bi is 37 units from 13 – 31i. what is the value of b?

                        The value of b is: 4 and -66

We are given distance between two points i.e. 25+bi and 13-31i as: 37 units.

We know that the point 25+bi is given in coordinate plane as: (25,b)

and 13-31i is given in coordinate plane as: (13,-31)

Since, any complex number is expressed in the form z=x+iy

Now we know that the distance between two points (a,b) and (c,d) is given by:

Here we have:

Distance=37 units.

(a,b)=(25,b) and (c,d)=(13,-31)

Hence, we have:

Now on squaring both side we obtain:

on taking square root both side we obtain:

                    Hence, the value of b is:  4 and -66

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total