Step-by-step explanation:
a)
well, it is kind of written already :
228 miles and 6 gallons.
so, miles/gallon = 228/6 = 38 miles/gallon.
b)
it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.
so, again
38 miles/gallon
and he used 9 gallons.
so, he drove 38×9 = 342 miles
Answer:
27
Step-by-step explanation:
Name the midpoint of BC point M and the midpoint of CD point N.
Triangle ABM has the 1/4 the area of the rectangle, 18. Triangle ADN also has 1/4 the area of the rectangle, 18. Triangle CMN has 1/8 the area of the rectangle, 9. That is, of the rectangle area, ...
18 + 18 + 9 = 45
are not included in triangle AMN. So, the area of that triangle is ...
72 -45 = 27 . . . . units²
_____
<em>Comment on the triangle area</em>
The triangle created by joining the midpoint of the side of a rectangle with an opposite vertex will have the same dimension as the rectangle in one direction (L), and half the dimension of the rectangle in the other direction (W). Thus, where the rectangle area is LW, the triangle area is (1/2)(L)(1/2W) = (1/4)LW, 1/4 the area of the rectangle.
Similarly, if the midpoints of adjacent sides are joined to form a triangle, the area of that is (1/2)(1/2L)(1/2W) = (1/8)LW, or 1/8 the area of the rectangle.
a bus took 30
minutes-------------------------- to cover a distance of 20 city blocks<span>
X
minutes------------------------------------------------one (1) city block</span>
I apply a rule of three
<span>
X=(1)*(30)/20=1.5 </span>
Therefore
the bus moved
1.5 minutes/block city
<span> </span>
Answer:
368
Step-by-step explanation:
8*46
<span>1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x
2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69
3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2
5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2
6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7
7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11
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