A Level 4I group home is a specialized residential facility designed to provide care and support for individuals with significant behavioral or emotional challenges, often including those with serious mental health issues. These facilities typically offer a structured environment with trained staff available 24/7 to ensure safety and promote therapeutic interventions. Level 4I homes focus on skill development, stability, and preparing residents for greater independence, often serving youth or adults who require more intensive support than traditional group homes.
(2 + 4i) - (7 + 4i) = -5 2 + 4i - 7 + 4i = -5 + 8i
To find the quotient of the complex numbers ( (4 + 4i) ) and ( (5 + 4i) ), you divide the two: [ \frac{4 + 4i}{5 + 4i}. ] To simplify, multiply the numerator and denominator by the conjugate of the denominator: [ \frac{(4 + 4i)(5 - 4i)}{(5 + 4i)(5 - 4i)} = \frac{(20 - 16i + 20i - 16)}{(25 + 16)} = \frac{(4 + 4i)}{41}. ] This results in ( \frac{4}{41} + \frac{4}{41}i ).
-6-4i.
-9
(x - 4i)(x + 4i) where i is the square root of -1
The conjugate of -8-4i is -8+4i. It is obtained by changing the sign of the imaginary part of the complex number.
When finding the conjugate of a binomial, you just reverse the sign. So the conjugate of 3+4i is 3-4i.
4i(-2 -3i) = 4i×-2 - 4i×-3i = -8i -12i² = -8i + 12 = 12 -8i → the conjugate is 12 + 8i
To get the conjugate simply reverse the sign of the complex part. Thus conj of 7-4i is 7+4i
The multiplicative inverse of a complex number is found by taking the reciprocal of the number. In this case, the reciprocal of 4i is -1/4i. To find the reciprocal, you divide 1 by the complex number, which results in -1/4i. This is the multiplicative inverse of 4i.
Add the real and the imaginary parts separately.
-4, +4, -4i and 4i