The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.

The total of the given area expressions is ...

3x² +2x -6x -4 = 3x² -4x -4 . . . . sum

<h3>Product</h3>

Extending the table to show common factors of each row and column, we have ...

$\begin{array}{c|c|c|}&3x&2\\\cline{1-3}x&3x^2&2x\\\cline{1-3}-2&-6x&-4\\\cline{1-3}\end{array}$

Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...

(x -2)(3x +2) . . . . product

8 0

2 years ago

What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3

lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

$V=5,676.16\ cm^3$

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

$V=(Area\ of\ base)\times (length)$

Here, the base is triangular and the area of a triangle is:

$A=\frac{1}{2}base \times height$

Therefore, the volume of the triangular prism is given as:

$V=\frac{1}{2}(base\times height\times length)$

Now, plug in the given values and solve for the volume 'V'.

$V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3$

Therefore, the correct answer is the third option.

$V=5,676.16\ cm^3$

7 0

3 years ago

Read 2 more answers

Robert is accelerating a cart at the rate of 2.2 meters/second2. If the mass in the cart is doubled, and the net force is also d

Sindrei [870]

F = ma

the question said, F and M both are doubled ,so,

2F =2ma
but you can see the result is same !!

so acceleration doesn't change !! so final acceleration is also 2.2 !!

3 0

3 years ago