A) 154 because it's an even number
Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.
So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.
Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.
So, to recap, this transformation maps 
This means that the two points become

Check the picture below.
the box is an open box, meaning the top is open, so that is not taking up area, so is not part of the surface area.
so can just get the area of the bottom, and the sides and sum them up, keeping in mind that the bottom is just an area of x² and the sides are just 4 rectangles of area h*x.
Answer:
assemble the proof by dragging tiles to the statements and reasons columns.
angles: ~= , <1 , <2 , <3,
lines: | | , p , q ,
statements: <1 and <3 are vertical reasons: given , transitive property , vertical angles theorem , def. of vertical
Step-by-step explanation:
Answer:
x + 2y = -1
Step-by-step explanation:
First, we'll find the slope.
Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2
Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:
y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use
y = -1/2(x + 5) + 2
y = -1/2x - 1/2
Standard form:
1/2x + y = -1/2
x + 2y = -1