For this, no math is even needed! The question says 1,000 people were interviewed. 42% percent of that 1,000 owns an SUV. If it's a percent, it is 42/100, right? Now we have to make that 42/100 out of 1000. We add a zero to the 100 on the bottom (42/1000). We do the same thing on the top. Add a zero! 420.
SECOND POSSIBLE SOLUTION
Solve this with logic! 42% is nearly 50%. Half of 1,000 is 500. What is closest to 500? 420! This solution is even easier.
Hope this helps you!
Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
AD is perpendicular to BC so slope Ad = -1/slope of BC
Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3
So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer
Slope is 2/3
intercept is (0,3)
y=2/3 x + 3
Answer:
y + 1 = 3(x - 1)
Step-by-step explanation:
The given point is (1,-1) meaning that x1 = 1 and y1 = -1
The slope of this line is m = 3 because we go up 3 and over to the right 1 (eg: go from the point (1,-1) to (2,2) to see this in action)
Plug these three pieces of info into the point slope formula below
y - y1 = m(x - x1)
y - (-1) = 3(x - 1)
y + 1 = 3(x - 1)
