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expeople1 [14]
3 years ago
15

Geoffrey is evaluating the expression (-3)^6(2^6)/(-3)^5(2^2) as shown below.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

Answer:

48.

Step-by-step explanation:

First you multiply the number by itself as many times as the number of the exponent is. In this case you <u>multiply -3 to itself 6 times which makes -729</u>, <u>2 to the 6th power is 64</u>, <u>-3 to the 5th power is -243, and 2 to the 2nd power is 4.</u> Then you <u>multiply -729 by 64 which makes -46656</u> and <u>multiply -243 by 4 which makes -972</u>, and then <u>divide -972 from -46656</u> <em>which makes 48</em>.

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8 0
3 years ago
Which equation of the line written in standard form has has a slope of 6 and contains the points (-1,-3)
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keeping in mind that standard form for a linear equation means

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\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})~\hspace{10em} slope = m\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-3)=6[x-(-1)]\implies y+3=6(x+1) \\\\\\ y+3=6x+6\implies y=6x+3\implies -6x+y=3\implies 6x-y=-3

5 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+9y=18
stira [4]

Answer:

y = -4/3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b.

Rearrange the equation into slope intercept form by isolating y:

12x + 9y = 18

9y = -12x + 18

Divide each side by 9:

y = -4/3x + 2

So, the equation is y = -4/3x + 2

6 0
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4 0
2 years ago
need help to determine if it's a undefined slope or it is a slope of line and what's the answer please and thank you ​
ICE Princess25 [194]

Answer:

It is slope of a line which is 4

Step-by-step explanation:

We are given that the given points are generated by a linear function. A linear function is ta straight line that can be represented by:

y = mx+b

Here m is the slope

The slope of a line is given by the formula:

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

In order to find the slope from the table we take any two pairs of inputs and outputs i.e. x and y

So here we take

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Putting the values in the formula

m = \frac{-12-(-16)}{-5-(-6)}\\m = \frac{-12+16}{-5+6}\\m = \frac{4}{1}\\m = 4

Hence,

It is slope of a line which is 4

4 0
3 years ago
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