9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
Answer:
I can't understand the question sorry I don't speak spanish
Step-by-step explanation:
For the top angles you would solve them by setting them equal to each other, so you would do 3x+5=17x-70. You can then add 70 to both sides, getting 3x+75=17x. You can then subtract 3x from both sides, getting 75=14x. You then divide both sides, getting 5 5/14 or around 5.36 as x. You can then add plug that into 3x+5, getting around 21.07. You can then make the equation R=180-21.07. You'd get 158.93.
Answer:
Yes
Step-by-step explanation:
A function is a relation where each input has only one output
The table shown follows this, each input has only one output, therefore it is a function.
9514 1404 393
Answer:
3 1/8 inches
Step-by-step explanation:
For focus-vertex distance p, the equation of the parabola can be written ...
y = x^2/(4p)
Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...
y = (10^2)/(4·8) = 100/32 = 3 1/8
The dish is 3 1/8 inches deep.
