Dy/dx, ie., the difference in y divided by the difference in x. If you have two points A and B, sort them in ascending order of x.
dx = 5 - -3 = 8 (x coordinates of B minus x coordinate of A)
dy = -3 - 5 = -8 (y coordinate of B minus y coordinate of A)
dy/dx = -1
So the slope is -1. The equation of the line is y=2-x.
7 + 2 = 9 and 9/12 + 11/12 = 20/12 = 1 8/12 = 1 2/3
9 + 1 2/3 = 10 2/3
Answer:
9 ≤ p
Step-by-step explanation:
-18 ≤ -3p
-18/-3 ≤ p
9 ≤ p
Answer:
Step-by-step explanation:
5x - 1 = 4x + 3
x - 1 = 3
x = 4
5(4) - 1 + 4(4) + 3
20 - 1 + 16 + 3
19 + 16 + 3 = 35 + 3 = 38
Answer:
10
Step-by-step explanation:
![\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}](https://tex.z-dn.net/?f=%5Ctriangle%20CDE%20%5Csim%20%5Ctriangle%20GDF..%20%28given%29%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%5Cfrac%7BCD%7D%7BGD%7D%20%3D%5Cfrac%7BDE%7D%7BDF%7D..%20%28csst%29%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%20%5Cfrac%7B15%7D%7Bx%2B3%7D%20%3D%5Cfrac%7B3x%2B1%7D%7B4%7D%5C%5C%5C%5C%20%5Ctherefore%20%20%20%5C%3A%2015%20%5Ctimes%204%20%3D%20%28x%20%2B%203%29%283x%20%2B%201%29%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%2060%20%3D%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20%2B%209x%20%2B%203%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20%2B%203%20-%2060%20%3D%200%20%5C%5C%20%5Ctherefore%20%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20%20-%2057%20%3D%200%20%5C%5C%20%5Ctherefore%20%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2019x%20-%209x%20%20-%2057%20%3D%200%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%20x%283x%20%2B%2019%29%20-%203%283x%20%2B%2019%29%20%3D%200%20%5C%5C%5Ctherefore%20%20%20%5C%3A%20%20%283x%20%2B%2019%29%28x%20-%203%29%20%3D%200%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%203x%20%2B%2019%20%3D%200%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20-%203%20%3D%200%20%5C%5C%20%20%5Ctherefore%20%20%20%5C%3A%20x%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B3%7D%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20%3D%203%20%5C%5C%20%20%5Cbecause%20%5C%3A%20x%20%5C%3A%20can%20%5C%3A%20not%20%5C%3A%20be%20%5C%3A%20%20-%20ve%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%20x%20%3D%203%20%5C%5C%20ED%20%3D%203x%20%2B%201%20%3D%203%20%5Ctimes%203%20%2B%201%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20ED%3D%2010%7D%7D)