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ICE Princess25 [194]
3 years ago
12

Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors.

Use the variable x in your expressions.
Mathematics
1 answer:
alina1380 [7]3 years ago
3 0

Answer:

Terms: 3\ and\ x + 2

Product = 3x + 6

Step-by-step explanation:

See attachment for complete question.

From the attachment, there are 3 columns and 3 rows

The 3 columns represent the first factor

To get the second factor, we have to analyze the 3 rows in the attachment.

Notice that the first row is bigger than the other two rows.

This big row will be represented with variable x

Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.

This is represented with + 1

Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.

This is also represented with + 1

Hence, the expression for the rows is x + 1 + 1 = x + 2

The product is then calculated as:

Product = 3 * (x + 2)

Product = 3 * x + 3*2

Product = 3x + 6

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B is the correct answer. If you use the distributive property correctly you will see why.

(4x+3)(2x+1)= 8x^2+4x+6x+3
= 8x^2+10x+3


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Snowcat [4.5K]

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Step-by-step explanation:

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What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

-1=\dfrac{10}{3}+b         <em>subtract 10/3 from both sides</em>

-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

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