Step-by-step explanation:
Let and . The area A of the region bounded by the given lines is
Note that intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as
Answer:
3x2+15x+30 with a remainder of 68
Answer:
540
Step-by-step explanation:
Okay so 1/4 of the dance is boys. That means that 45 boys = 1/4 of the dance. Take 45 and multiply it by 4. This number is 180 and and that is the total number of people at the dance. If 1/3 of the students went to the dance, then 1/3 of the school = 180. Multiply 180 by 3 to get 540.
45(4) = 180 = 1/3 of school
180(3) = 540 = total numbers in school.
Hope this helps!
9514 1404 393
Answer:
a. plane DEA
Step-by-step explanation:
A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.
Here, points in the plane are A, D, E, F, with DEF all on the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.
M is not an answer choice, but DEA is. So, the appropriate choice is ...
plane DEA
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F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.