3 years ago

Describe and correct the error in writing the value of the product. 2 x 2 x 2 x 2 = 4²

Mathematics

1 answer:

OverLord2011 [107]3 years ago

6 0

Answer:

2⁴

Step-by-step explanation:

4² would be 4x4 not 2x2x2x2

2x2x2x2 would be 2⁴.

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Write an equation in slope-intercept form for the line that has the given slope and contains the point. Please show some work.(

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Answer:

An equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

Step-by-step explanation:

Given the points

(4,-2)

(2,-1)

Finding the slope between points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:-1\right)$

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$m=-\frac{1}{2}$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2=\frac{-1}{2}\left(4\right)+b$

$-2+b=-2$

$b=0$

substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form

$y=mx+b$

$y=\frac{-1}{2}x+0$

Thus, an equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

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