You're answers are a bit jumbled up but here is the answer:
T for Two
B for Blue
M for Moon Roof
F for four
G for Gray
NM for No Moon Roof... so
TBM
TBNM
TGM
TGNM
FBM
FBNM
FGM
FGNM
8 Possibilities
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
Answer:
y = -2x - 6
Step-by-step explanation:
Find the gradient: y difference/x difference
0 - (-6) / -3 - 0
6 / -3
= -2
y = mx + c
-6 = -2 × 0 + c
-6 = c
= C = -6
Call red as X then X/Green =5/16 => green = 16X/5.
six times the number of reds exceeded the number of green by 112 => 6X-16X/5=112 => 14X/5=112 => X= 40 => reds:40 => green = 128
1) 100 * 40 = 4000 (cm²) the area of rectangle
2) 40 * 30 * 1/2 = 600 (cm²) the area of triangle
3) 4000 + 600 = 4600 (cm²)
Answer: 4600 cm²
