8. Raul lives in Middleburg. He wants to find the distance between Easton and Westerville. He wants to find the distance between Easton and Westerville. He knows that Easton is 5.7 miles from Middleburg,
that Westerville is 9.3 miles from Middleburg, and the angle formed by the two lines (from Middleburg to
Westerville and from Middleburg to Easton) is 69.4°. To the nearest tenth of a mile, what answer should
Raul come up with?

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

The description below represents function a and the table represents function b: function a the function is 5 more than 3 times x. function b x y −1 2 0 5 1 8 which statement is correct about the slope and y-intercept of the two functions? (1 point) their slopes are equal but y-intercepts are not equal. their slopes are not equal but y-intercepts are equal. both slopes and y intercepts are equal. neither slopes nor y-intercepts are equal.

The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. what is the probability that, in any seven-day week, the computer will crash less than 5 times? round your answer to four decimal places