First one-
9
2nd one-
the second page doesn't have a question
3rd one-
10.5
4th one-
10
Answer:
x = -6 x = -1
Step-by-step explanation:
x^2 + 7x + 6 = 0
Factor
What two numbers multiply to 6 and add to 7
6*1 = 6
6+1 = 7
(x+6) (x+1) =0
Using the zero product property
x+6 = 0 x+1 = 0
x+6-6 =0 -6 x+1-1 = 0-1
x = -6 x = -1
There are several ways to solve this, but the law of sines is probably the easiest...
Law of Sines: sina/A=sinb/B=sinc/C for any triangle...in this case we can say:
sin48/x=sin90/55
xsin90=55sin48
x=55sin48/sin90
x≈40.873 (to nearest one-thousandth, not sure which precision you needed)
