Answer:
EF = 8
Step-by-step explanation:
The following data were obtained from the question:
EF = 2x
FG = 8
EG = 4x
EF =?
To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:
EG = EF + FG
EF = 2x
FG = 8
EG = 4x
4x = 2x + 8
Collect like terms
4x – 2x = 8
2x = 8
Divide both side by 2
x = 8/2
x = 4
Therefore, the value of x is 4.
Finally, we shall determine the the value of EF as follow:
EF = 2x
x = 4
EF = 2x
EF = 2(4)
EF = 8
**** Check ****
EG = EF + FG
EF = 2x
EG = 4x
FG = 8
4x = 2x + 8
x = 4
4(4) = 2(4) + 8
16 = 8 + 8
16 = 16
Answer:
(7 x + 6 y)^2
Step-by-step explanation:
Factor the following:
49 x^2 + 84 x y + 36 y^2
The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):
7 x (7 x + 6 y) + 6 y (7 x + 6 y)
Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):
(7 x + 6 y) (7 x + 6 y)
(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:
Answer: (7 x + 6 y)^2
It’s 182 my work is in the picture
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Answer:
f(g(x)) = 2/(x^2 +4x)
Step-by-step explanation:
