Answer:
11) A
12) B
Step-by-step explanation:
11) 10x² + 1 = 0
Subtract 1 from both sides:
10x² = -1
Divide both sides by 10:
x² = -1/10
Take the square root of both sides:
x = ±√(-1) / √(10)
Remember that the square root of -1 is i:
x = ±i / √(10)
To rationalize the denominator, multiply top and bottom by √10.
x = ±i√(10) / 10
Answer is A.
12) 2v² + 8v + 6 = 0
Divide both sides by 2:
v² + 4v + 3 = 0
Use AC method or quadratic formula to factor:
(v + 1) (v + 3) = 0
Set each expression to 0:
v + 1 = 0 or v + 3 = 0
Solve:
v = -1 or v = -3
Answer is B.
B. y= -1/2x + 2
Hope that helped
Answer:
133°
Step-by-step explanation:
Let the measure of one angle be x, then the measure of the other angle is
3x - 8
Supplementary angles sum to 180°
Sum the 2 angles and equate to 180
x + 3x - 8 = 180
4x - 8 = 180 ( add 8 to both sides )
4x = 188 ( divide both sides by 4 )
x = 47
The larger angle = 3x - 8 = (3 × 47) - 8 = 141 - 8 = 133°