Answer:
2(3 + 8k)
Step-by-step explanation:
given : 6+16k
note that the GCF of 6 and 16 is 2, hence we can factor 2 out of the expression
6+16k
= (2)(3) + (2)(8k)
= 2(3 + 8k)
Answer: -1/8
Step-by-step explanation:
3/4 + -3/8 + -1/4
Find the LCM of 4, 8, and 4
That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.
3/4 = 6/8
-3/8 = -3/8
-1/4 = -4/8
Now the expression looks like this:
6/8 + - 3/8 + -4/8
6/8 - 3/8 - 4/8
6/8 - 7/8
-1/8
Hope that helped!
Answer:
25.6 units
Step-by-step explanation:
From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).
First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

where
are the coordinates of the first point
are the coordinates of the second point
- For AB:
![d=\sqrt{[1-(-5)]^{2}+(4-4)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5B1-%28-5%29%5D%5E%7B2%7D%2B%284-4%29%5E2%7D)



- For BC:





- For AC:
![d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5B3-%28-5%29%5D%5E%7B2%7D%20%2B%28-4-4%29%5E%7B2%7D%7D)





Next, now that we have our lengths, we can add them to find the perimeter of our triangle:




We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.
Answer:
B
Step-by-step explanation:
This answer shows values of -2, and less than -2