Answer:
Step-by-step explanation:
Combine real terms and combine complex terms
1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i
= 5 + (2-5)i
= 5 + (-3)i
= 5 - 3i
3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i) = 2 -1 + 2i + 4 - 5i - 1 + 3i
{- is distributed to (1 - 2i) & - is distributed to (1- 3i)}
= 2 - 1 + 4 + 1 + 2i - 5i + 3i
= 6 +0i = 6
5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i
= 8
7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i {(a - b)² = a² - 2ab +b²}
= 9 -12i + 4i² + 3 + 2i
= 9 - 12i + 4*(-1) + 3 + 2i {i² = -1}
= 9 +3 - 4 - 12i +2i
= 8 - 10i
Answer:
a) h(3) = 9
b) h(0) = 6
c) h(6) = 4
Step-by-step explanation:
Piecewise functions have <u>multiple pieces</u> of curves/lines where each piece corresponds to its definition over an <u>interval</u>.
Given piecewise function:
Therefore, the function has two definitions:
<u>Part (a)</u>
h(3) means to substitute x = 3 into the function.
As <u>x does not equal 6</u>, substitute x = 3 into the <u>first piece of the function</u>:
<u>Part (b)</u>
h(0) means to substitute x = 0 into the function.
As <u>x does not equal 6</u>, substitute x = 0 into the <u>first piece of the function</u>:
<u>Part (c)</u>
h(6) means to substitute x = 6 into the function.
As <u>x equals 6</u>, then use the <u>second piece of the function</u>:
Learn more about piecewise functions here:
brainly.com/question/11562909
brainly.com/question/28151925
Answer:
13.3
Step-by-step explanation:
f² = e² + g² - 2egcos(F)
f² = 9² + 18² - 2(9)(18)cos(46)
f² = 175.8974029
f = 13.26263128
Answer:
117 sq in
Step-by-step explanation:
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).
