Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Find the values of m m and b b using the form y=mx+b y = m x + b .
Answer:
60 square units
Step-by-step explanation:
You can get there a couple of ways.
One way is to consider the enclosing rectangle, which is 9 units by 11 units, so has an area of 99 square units. From that will be subtracted two triangles having height 2 and width 6, and two triangles having height 3 and width 9. Thus the net area in rectangle DEFG is ...
99 - 2·6 - 3·9 = 60 . . . square units
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Another way is to find the lengths of each of the sides and multiply those.
Short side = √(2²+6²) = 2√10
Long side = √(3²+9²) = 3√10
area = short side × long side = (2√10)(3√10) = 6·10 = 60 . . . square units
15
A total of 39 took psychology. 12 of those took that and science and another 10 of those took that and history. 2 people took all three. 12+10+2 = 24 students who took psychology along with another class. To find the number of students who took ONLY psychology, you would take 39 and subtract 24, which leaves you with 15.
There both 4 and there are the 4th number
subtracting 9.1 - 12.9 is -3.8