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
They discounted 14.69 as a percent it is 15 percent
Answer:
250 grams because 1 kilogram=1000grams
Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.
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Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6
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Part C:
Replace f(x) with 6 and solve for x
f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3
So the final answer, for part C, is x = 3
