A is the right answer, I could explain if you need
20. (2) 14
A perfect square trinomial will factor into two expressions that are the same, for example: x^2 + 6x + 9 = (x + 3)(x + 3). Since this problem has a C value of 49, it will factor into (x + 7)(x + 7). 7 doubled is 14, therefore one possible value of B is 7.
21. (4) 2, -12
x^2 + 10x + 25 = 24 + 25
(x + 5)^2 = 49
x + 5 = +/- 7
x = 2, -12
22. (3) 3 + sqrt(17)
x^2 - 6x = 8
Complete the Square
x^2 - 6x + 9 = 8 + 9
(x - 3)^2 = 17
x - 3 = +/- sqrt(17)
x = 3 + sqrt(17), 3 - sqrt(17)
23. (1) 1, -5
x^2 + 4x - 5 = 0
x^2 + 4x = 5
x^2 + 4x + 4 = 5 + 4
(x + 2)^2 = 9
x + 2 = +/- 3
x = 1, -5
Hope this helps!
In the given figure,
line a & b are parallel, line l and m are parallel.
for line a and b are parallel and line l act as a transversal.
So, angle BAC and ACD are the alterantive interior angles.
Angle BAC = Angle ACD
2x = 46
i.e. Angle BAC = 46
Lines l and m are parallel, a line act as a transversal,
So, the angle BAC and angle y are the corresponding angle,
Since the pair of corresponding angles are always equal so,
Angle BAC = y
46 = y
y = 46
Answer : y = 46
F (x) = 0.05 + 0.042x
0.890 = 0.05 + 0.042x
0.840 = 0.042x
x = 20 weeks
check your answer
0.890 = 0.05 + 0.042(20)
0.890 = 0.05 + 0.84
0.890 = 0.890