3 years ago

What is the circumference of 3 m

Mathematics

1 answer:

Stella [2.4K]3 years ago

4 0

The circumference is 9.42m

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Which expression is equivalent to (2x2)(3x3)(4x)2?

Lera25 [3.4K]

Given expression: $(2x^2)(3x^3)(4x)^2.$

In order to simplify it to get an equivalent expression, we need to multiply all terms.

Let us simplify $(4x)^2 = 4^2x^2 = 16x^2$

Therefore, $(2x^2)(3x^3)(4x)^2=(2x^2)(3x^3)(16x^2).$

$(2x^2)(3x^3)(16x^2)=2 \times 3 \times 16 \times (x^2 \times x^3 \times x^2).$

= $96x^{2+3+2}$

$96x^{7}$ .

<h3>Therefore, $(2x^2)(3x^3)(4x)^2$ is equivalent to $96x^{7}.$ </h3>

8 0

3 years ago

Read 2 more answers

How many solutions does the system have? You can use the interactive graph below to find the answer. 4x-2y=8 2x+y=2 4x−2y=8 2x+y

Tju [1.3M]

Answer:

Step-by-step explanation:

We have the following system

$\left[\begin{matrix} 4 & -2 \\ 2 & 1 \end{matrix}\right]x =\left[\begin{matrix} 8 \\ 2 \end{matrix}\right]$

The number of solutions depend on the determinant of the matrix of the system. If the determinant is different from 0, then it has one unique solution, if it 0 then it has infinite solutions.

Note that the determinant of a matrix

$\left[\begin{matrix} a & b \\ c & d \end{matrix}\right]$ is ad-bc. So in our case we have 4*1-(-2)*2 = 8 which is not 0. Then the system has an unique solution.