Answer:
1) 6+7=42
2) Beginning (0,0,-25) end (0,-20,-25)
Step-by-step explanation:
1) Plot these point on graph. By this you can determine the fourth coordinate(-3,4) as it is a rectangle.
So, length =7
breadth =6
area =7*6 =42
2) Here height of rack is 25 feet thus it's Z coordinate is -25.
It moved 20 feet south along Y axis thus Y coordinate = -20
No movement in X thus x coordinate =0
Thus , beginning (0,0,-25) end (0,-20,-25)
Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
(0, 9) represents the y-intercept of the graph.
Since the slope is 1/3, this means that y will rise 1 for every 3 that x runs.
The points that can be used to make a line in this graph are (3, 10) and (6, 11).