Answer:
1
Step-by-step explanation:
The first step is to understand what the integrand looks like. (See the graph below.)
It is -1 for x < 0 and +1 for x > 0. Thus, the value of this integral is ...

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Essentially, you treat the absolute value as a piecewise linear function. This is the same way you treat an absolute value in any equation or inequality.
Here, this means you divide the integral into two parts: one where the integrand is -x/x, and one where it is +x/x.
Let's simplify step-by-step.
2/5(d−10)−2/3(d+6)
Distribute:
= (2/5)(d)+(2/5)(−10)+ −2/3d+ −4
= 2/5d+−4+ −2/3d+ −4
Combine Like Terms:
= 2/5d+−4+ −2/3d+ −4
= −4/15d+−8
And your answer is...
= −4/15d+−8
plz mark me as brainliest if this helped :)
Answer:
-6/7
Step-by-step explanation:
The slope of DE is ...
(change in y)/(change in x) = (y2 -y1)/(x2 -x1) = (-3-4)/(1-7) = -7/-6 = 7/6
The slope of the line perpendicular to DE is the negative reciprocal of this:
perpendicular slope = -1/slope = -1/(7/6) = -6/7
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Answer:
6
Step-by-step explanation:
sorry if it wrong