<span>solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.</span>
Answer:
a letter
Step-by-step explanation:
Answer:
C. 3/5*5/3
Step-by-step explanation:
because you multiply across and get:
3 5 15
_ * _ = _
5 3 15
Which is 1 whole
I hope this helps!!!
Answer:
C
Step-by-step explanation:
We want to integrate:
Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:
By differentiating both sides with respect to x:
We can "multiply" both sides by dx:
And divide both sides by 5:
Rewriting our original integral yields:
Substitute:
Simplify:
This is a common integral:
Back-substitute. Of course, we need the constant of integration:
Our answer is C.
The volume of a pyramid is expressed as the product of its length, width and height divided by three. We first solve the volume of pyramids A and B.
Volume of A = (10 x 20 x h) / 3 = 200h / 3
Volume of B = (10 x 10 x h) / 3 = 100h/3
Since the heights of the two pyramid are the same we can substitute on equation to the other in terms of h.
Volume of A = (200 x 3 x Volume of B) / (100 x 3)
Volume of A = 2 x Volume B
Thus, the volume of A is twice the volume of B.
If the height of pyramid B is twice of pyramid A, the new volume of pyramid B is equal to the volume of pyramid A.
