Answer:

Explanation:
The equation is asking for multiplication (13 * v), and the opposite of multiplication is division. So if we divide 65 by 13, we find 5.
13 * 5 = 65
Answer:
Part A: 10 complete capes.
Part B: 120 minutes.
Step-by-step explanation:
Part A:
Given:
Amount of fabric required for 1 cape is 1 yard.
Total amount of fabric bought by Zoe's mom are 10 yards.
Using unitary method,
∵Number of capes made from 1 yard fabric = 1
∴ Number of capes made from 10 yard fabric = 
Part B:
Given:
Time taken to make 1 cape is 12 minutes.
Using unitary method,
∵Time taken to make 1 cape = 12 minutes.
∴ Time taken to make 10 capes =
minutes.
Let width = x, Therefore the length must equal 2x
Therefore insert these values on the sides of a rectangle.
Add: 2x + 2x + x + x = 18
Therefore 6x = 18
x = 3
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.