Answer:
This may be a bit confusing but the answer is, x= -1/2 + 1/2 √2 or x= -1/2 + -1/2 √2 I Hope This Helps You!!!! sorry if it doesn't!
Step-by-step explanation:
1. 57 degrees
2. B
3. 117 degrees
4. C
-4 ≤ x ≤ 6
x ≥ -4
3x ≥ -12
3x + 12 ≥ 0
3x + 14 ≥ 2
6 ≥ x
6 - x ≥ 0
1 - x ≥ -5
A. 3x + 14 ≥ 2 and 1 - x ≥ -5
62 + 22 = 84 total light strings.
36 bulbs/string multiplied by 84 light strings = 3,024 total light bulbs
To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular
