Answer: 3
Step-by-step explanation:
8-5= 3.
4-3=1
so it’s 3/1 or 3
It is understood without being written that the slope of this line is 1. If we rewrite the point-slope form of the line it would be y-8=1(x-4) where 1 is the slope. We move the -8 over by addition to get y = 1x-4+8, or, simplified, y=x+4, the first choice in your answers.
Answer:
2(3x+6) = 6x+12
3(2x-6) = 6x-18
6x+12=6x-18
Subtract 12 from 18, which gives you:
6x=6x-6
Subtract the 6x on the opposite side of the equal side, and your answer is: x = -6
My answer isn't in your choices so it's probably wrong, but hopefully my approach can give you hints.
The vowels are AEAI
The vowels can be arranged in 4*3*2=24 ways.
The non vowels are MTHMTCS
If the vowels must be together, there have to be in one of the spaces between the non vowels.
If we look at it like this:
-M-T-H-M-T-C-S-
The 4 vowels must go in one of the places marked with a dash.
There are thus 8 places to choose from.
But we must also consider that the non vowels can be arranged in any way. There are 7 of them, so they can be arranged in 7*6*5*4*3*2=5040 ways.
Multiply everything together to get 8*5040*24=967680
