Adding 15 to both sides. In order to get it to the opposite side of the equal sign, you must do its opposite. You can't add 8x to both sides, because the opposite of positive 8x is negative 8x and that's not what they're asking. The opposite of negative 15 is positive 15, so it works. Opposite of positive 3 is negative three, and they're wanting a positive, so it will not work. Adding 2x wouldn't work, because it's already positive..
1/2 of a chance he will often grab a yogurt (as there is a total of ten items (5/10). 2/10 (1/5) of a chance he will grab a green apple. and 3/10 of a chance he will grab a red apple. he will have around a 1/5 chance to not grab a yogurt on 3 consecutive days. (not sure about the not grabbing yogurt chances, but.......)<span />
It's p/3+2 = 1/5. thats the answer
Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
Answer:
vol. of triangular prism = lbh/2
vol. of rectangular prism = 18 of vol. of triangular prism
18x = 18 + 14x
4x = 18
x=4.5 ft
so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube
