y=2x+7
y=2x-7
parallel lines always have the same slope but different y intercepts. y=2x+7 and y=2x-7 is the only possible answer because it's the only one with the same slope
You need the distance formula to figure this out. The coordinates for point D are (-5, 1), the coordinates for point E are (-2, 3), and the coordinates for point F are (-3, -2). For the distance or length of DE, the formula looks like this:
which simplifies a bit down to
which is
which of course is
so DE = 25. Moving on to EF:
which simplifies to
which is to say that
. We do the same for FD:
which simplifies a bit to
which is to say that the length of FD is
. None of the lengths of the sides are the same, so this is a scalene triangle. Last choice given above.
The answer to you’re question would be A. x = -8
Answer:
Step-by-step explanation:
Keep in mind that the tangent function is negative in Quadrants II and IV.
Of the three possible answers, the 2nd is invalid because the tangent is positive in Q III.
If the reference angle were in Quadrant II and had the value 30° (second possible answer), then the opposite side would be +1, the adjacent side -√3 and the hypotenuse 2. Based on this, the tangent of theta would be opp / adj, or +1 / (-√3) or -√3/3. This is correct.
Answer:
I'm not sure why there's a plus at the end of the 11x, but i think the answer is 2 1/11
Step-by-step explanation: