The slope (m) of the line graphed is -4/2, because the line goes down 4 (-4) and over 2 (+2), which is change in y over change in x
m = -4/2 = -2
the y-intercept (b) of the line = -1, because the line crosses the vertical line at x=0 at y=-1
now for the equation:
y = mx + b
y = -2x + -1 = -2x - 1
f(x) = -2x-1
the last answer is correct
Recall that
![\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}](https://tex.z-dn.net/?f=%5Ccos%5E2%5Ctheta%2B%5Csin%5E2%5Ctheta%3D1%5Cimplies%5Ccos%5Ctheta%3D%5Cpm%5Csqrt%7B1-%5Csin%5E2%5Ctheta%7D)
But we're specifically told that cosine is negative, so we take the negative root above, and then
![\cos\theta=-\sqrt{1-\left(\dfrac34\right)^2}=-\dfrac{\sqrt7}4](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D-%5Csqrt%7B1-%5Cleft%28%5Cdfrac34%5Cright%29%5E2%7D%3D-%5Cdfrac%7B%5Csqrt7%7D4)
Now,
![\csc\theta=\dfrac1{\sin\theta}=\dfrac43](https://tex.z-dn.net/?f=%5Ccsc%5Ctheta%3D%5Cdfrac1%7B%5Csin%5Ctheta%7D%3D%5Cdfrac43)
![\cot\theta=\dfrac{\cos\theta}{\sin\theta}=-\dfrac{\sqrt7}3](https://tex.z-dn.net/?f=%5Ccot%5Ctheta%3D%5Cdfrac%7B%5Ccos%5Ctheta%7D%7B%5Csin%5Ctheta%7D%3D-%5Cdfrac%7B%5Csqrt7%7D3)
Answer:
1,260 books (or C)
Step-by-step explanation:
1. 2/5 of fiction (12,500) are out, so 5,000 are out
2. 2/5 of non-fiction (19,000) are out, so 7,600 are out
3. Total books checked out are 12,600
4. 1/10 of checked out books are due this week, so 1,260 books (10%)
Answer:
idk fo you knoe
Step-by-step explanation:
Answer:
y=-12/5x+62
Step-by-step explanation:
to solve this i turned two point form, 5,50 and 17 1/2,20, into slope intercept form by using the formula y-y1=(y2-y1/x2-x1)(x-x1), which when input with the data becomes y-50=(20-50/17 1/2-5)(x-5) which then becomes y-50=-12/5(x-5), then y-50=-12/5x+12, and finally y=-12/5x+62