Answer:
a= 81m^2
Step-by-step explanation:
we know the top triangle: the base is 9
a = 1/2(bh)
a = 1/2 (9 x 8)
a = 1/2 (72)
a = 36
the parallelogram at the bottom has base 9 and height 5
a = bh
a = 9 x 5
a = 45
add them together 36 + 45 = 81
Let's go through these, sentence by sentence:
a. <em>Henry is driving at a constant speed.</em>
If the y-axis represents the speed of Henry's car, this portion of the graph should be a straight horizontal line, as his speed doesn't change at all. This already eliminates the first and second options.
<em>He then slows down to pass an accident. After passing it, he goes back to his original speed and continues driving at that speed</em>.
We should see a downward-sloped line segment during the period when he slows down, and then an upward-sloped line segment during the time where he speeds up. Graphically, this would look like a V. Finally, the graph would again become a straight horizontal line as he returned to and maintained his original speed. Graph #4 is the only one which represents this description.
b. <em>Teresa is driving to work. She drives at a constant speed for several miles, then stops to pick up breakfast</em>.
On all of the graphs of this situation, the y-axis represents Teresa's <em>distance to work</em>. We have to be careful here, because the further she drives, <em>the further down the graph goes</em>. The y-coordinate starts at some positive fixed position (the total distance to work) and works its way down to 0.
There's only one graph which represents this scenario - a downwards trend - and that's graph #3.
Step-by-step explanation:
the answer is (p-3q)(p+3q)
I hope it will help you
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Answer:
m = 170
Step-by-step explanation:
The angles are supplementary so they add to 180 degrees
70 + m-60 = 180
Combine like terms
10 + m = 180
Subtract 10 from each side
10-10 +m = 180-10
m = 170
Total volume in 20 oz bottles = 20 * 56 = 1120 ozs
so number of 16 oz bottles would be 1120 / 16 = 70