We want to multiply the monomial
by the monomial
.
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents:
,
. Also, is worth pointing out that the exponent of a variable with no exponent is 1:
.
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so
. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:
![(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3](https://tex.z-dn.net/?f=%20%282x%29%28x%5E2%29%3D%282x%5E1%29%281x%5E2%29%3D2%2A1x%5E%7B1%2B2%7D%3D2x%5E3%20)
We can conclude that 2x times x squared is 2x cubed.
X²+3x-21=0
1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2
2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21
Answer: the product of the 2 solutions of this equation is -21
Answer:
12 cm
Step-by-step explanation:
First, we find the scale factor from cone S to cone T.
ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8
The ratio of the volumes is 8:1
The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.
scale factor = cubic root of 8 = 2
The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.