If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is

which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.

and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).
Answer:
it is 240
Step-by-step explanation:
put in equation and solve
2/3t+10=170
t=240
Answer:
see below
Step-by-step explanation:
As x gets larger, y gets smaller. Only one of the graphs has that characteristic.
Answer:
x=4
Step-by-step explanation:
Answer:
3.5 meters.
Step-by-step explanation:
Please refer to the attachment.
Since the two triangles share two congruent angles, by AA Similarity, the two triangles are similar.
Therefore, we can write the following proportion:

To find the height of the lamppost x, we will simply have to solve for x.
So, let’s cross-multiply:

Divide both sides by 3:

Hence, the height of the lamppost is 3.5 meters.