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So he drove 5hrs, before lunch, now, he was going at speed, say "r", after he ate, he sped up by 10mph, so, his rate is whatever "r" is, plus 10, or " r + 10 ", after lunch
we know the whole trip took 10hrs, so, is 5hrs before lunch and 5hrs after lunch
we also know the whole trip was 500miles, so if he drove, say "d" miles before lunch, after lunch he drove the slack after lunch, or " 200 - d "
recall, your d = rt, distance = rate * time

and I'm sure you know what that is
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
Answer:
2/5
Step-by-step explanation:
We can find the slope of a line given two points by using
m = (y2-y1)/(x2-x1)
= (14-6)/(20-0)
=8/20
=2/5
It's simple, you first do -b/2a, (This is how the equation is supposed to go: ax^2+bx+c) Therefore, to this answer, it is -1. Now this answer will be you x point, and you use that to find the vertex by putting -1 as b. You have two choices that are correct, so eliminate those who's x isn't -1. Finally, put -1 as b, which would end up as -1^2+2(-1)-35, and when you simplify it, you end up with -36, making D the answer