A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator

7 0

3 years ago

A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

ale4655 [162]

Answer:

y = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: $( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y = −1/3x+17/3

7 0

3 years ago

Find the value of x.<br> A. 80°<br> B. 70°<br> C. 60°<br> D. 50°

borishaifa [10]

Answer:

Step-by-step explanation:

80 degree becaue a triangle = 180 degress

180 - 100 = 80

7 0

2 years ago