Answer:
Point of Interception: (-7/6, -1/6)
Step-by-step explanation:
y = 7x + 8
y = x + 1
Set equations equal to each other:
7x + 8 = x + 1
Subtract x on both sides:
-x -x
6x + 8 = 1
Subtract 8 on both sides:
-8 -8
6x = -7
Divide by 6:
/6 /6
x = -7/6
Substitute:
y = -7/6 + 1
y = -1/6
Coordinate: (-7/6,-1/6)
4.0
Using trig identity Tangent, tangent is equal to opposite / adjacent side. Therefore tan30 = x/7, because x is the side opposite to 30 degrees and it is adjacent to 7, (note: adjacent side is never the hypotenuse)
To save time, tan 30 = sqrt(3)/3,
sqrt(3)/3 = x/7
x = 7*sqrt(3)/3 ~ 4.041
x=-20
3x+178=6x+238
-3x=60
