What is the area of the circle in terms of
="absmiddle" class="latex-formula">?
a. 3.4225
m²
b. 6.845 m²
c. 7.4 m²
d. 13.69 m²
a. 3.4225
b. 6.845
c. 7.4
d. 13.69
1 answer:
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Given exponential expression : .
<em>According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.</em>
We are given whole exponent 2 there.
We can apply exponents of exponent rule.
Therefore,
Therefore,
To graph the line, we must first find out the equation for the line in slope-intercept form (y = mx + b). So far, we only have the slope, so the line's equation is y = 3/4x + b. But, by inserting the values of x and y in the point we know, we can find the y - intercept.
4 = 3/4 + b
b = 13/4
That means that the equation of our line is y = 3/4x + 13/4. Now we can graph. But, there is another way to go about (slightly faster too). Since we know the coordinates of 1 point, we can put that line down. Then, since we know that slope is rise over run, we can say, that with a slope of 3/4, one would go 3 points up for every 4 to the right. Now we can go 3 points up and 4 points to the right of point (1,4). That would be (5, 7). Now we can graph (since we have 2 points, or an equation).
The graph looks like this:
