If Emily has 6 cubes of 3 x 3 x 3, or 27 cubic cms. each, and these completely fill the prism, then the prism must be:
27 x 6, or 162 cms.^3 total volume. ☺☺☺☺
C i think, sorry if its wrong
This response is based upon your having had some background in calculus. "dx" is not introduced before that.
Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.
Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is
b-a
dx = ---------- , and that dx becomes smaller and smaller as the number of
n subintervals increases.
Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.
Answer:
(12,0), (3, -1) (0,-4/3)
Step-by-step explanation:
To do this problem, you have to plug in the x and y values. For example, the first one would be 12-9(0)=12, and so on.