Answer:
1) 2x+7
2) -3x+11
3) 0.75x-2
4) -2x+0
5) -1.5x+2
6) -4x+16
Step-by-step explanation:
1) y = mx + c
m = 2 when x=1 , y=9
9 = 2(1)+c
c = 7
y = 2x + 7
2) m = -3
When x=4, y= -1
-1 = -3(4) + c
c = -1+12 = 11
y = -3x + 11
3) m = 0.75
When x= -4, y= -5
-5 = 0.75(-4) + c
-5 = -3 + c
c = -2
y = 0.75x - 2
4) m = (y2-y1)/(x2-x1)
m = (2-(-6))/(-1-3) = 8/-4 = -2
y = -2x + c
When x= -1, y= 2
2 = -2(-1) + c
2 = 2 + c
c = 0
y = -2x + 0
5) m = (-10-(-4))/(8-4)
m = (-10+4)/4 = -6/4 = -1.5
y = -1.5x + c
When x= 4, y= -4
-4 = -1.5(4) + c
-4 = -6 + c
c = 2
y = -1.5x + 2
6) m = (-4-4)/(5-3) = -8/2 = -4
When x= 3, y= 4
4 = -4(3) + c
4 = -12 + c
c = 16
y = -4x + 16
Answer:
![\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B5%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B7%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B11%5Cpi%7D%7B6%7D%7D)
Step-by-step explanation:
![12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}](https://tex.z-dn.net/?f=12%5Ccos%5E2x-9%3D0%5Cqquad%5Ctext%7Badd%209%20to%20both%20sides%7D%5C%5C%5C%5C12%5Ccos%5E2x%3D9%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2012%7D%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cdfrac%7B9%7D%7B12%7D%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cdfrac%7B9%3A3%7D%7B12%3A3%7D%5C%5C%5C%5C%5Ccos%5E2x%3D%5Cdfrac%7B3%7D%7B4%7D%5Cto%5Ccos%20x%3D%5Cpm%5Csqrt%7B%5Cdfrac%7B3%7D%7B4%7D%7D%5C%5C%5C%5C%5Ccos%20x%3D%5Cpm%5Cdfrac%7B%5Csqrt3%7D%7B2%7D%5C%5C%5C%5C%5Ctext%7BLook%20at%20the%20picture%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B5%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B7%5Cpi%7D%7B6%7D%5C%20%5Cvee%5C%20x%3D%5Cdfrac%7B11%5Cpi%7D%7B6%7D)
The perimeter of the figure or polygon is calculated by adding up the value of the sides. In this case,
Perimeter = 2 (length + width)
We are given that the length is equal to 525 ft.
1205 = (2)(525 + y)
The value of y from the equation is 77.5 ft.
Answer: 77.5 ft
Answer:
2.8
Step-by-step explanation:
this is my best guess
Ok so to find this we need to find 25% of 8 and then add that number to 8 itself. SO .25*8=2. So 2+8=10. So the answer is 10. IF you don't get it just ask and i can try to re explain