Answer:The new light saves electricity monthly = 123 - 98 = ₹25
The light pays for it self in = 920 ÷ 25
= 36.8 months
Answer: The answer is 0.8
Step-by-step explanation:
We know that 2 is simply 2.0 and 45 is 4×(15) , which is simply 4×0.2=0.8
Answer:
The distance is ![\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D)
Step-by-step explanation:
First we need to find the slope of the line and the the its equation, for the slope we use the formula:
![m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{-4-1}{9-(-6)}\\ m=\frac{-5}{9+6}\\ m=\frac{-5}{15}\\m=- \frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%20m%3D%5Cfrac%7B-4-1%7D%7B9-%28-6%29%7D%5C%5C%20m%3D%5Cfrac%7B-5%7D%7B9%2B6%7D%5C%5C%20m%3D%5Cfrac%7B-5%7D%7B15%7D%5C%5Cm%3D-%20%5Cfrac%7B1%7D%7B3%7D)
Using the line equation we have that:
(1)
Converting the line equation (1) into its general form
![y=- \frac{1}{3} x-1\\3y=-x-3 \\x+3y+3=0](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B1%7D%7B3%7D%20x-1%5C%5C3y%3D-x-3%20%5C%5Cx%2B3y%2B3%3D0)
Finally we use the distance between a line and point formula given by
![d=\frac{Ax+By+C}{ \sqrt{ A^{2} + B^{2} } }](https://tex.z-dn.net/?f=d%3D%5Cfrac%7BAx%2BBy%2BC%7D%7B%20%5Csqrt%7B%20A%5E%7B2%7D%20%2B%20B%5E%7B2%7D%20%7D%20%7D)
where A, B and C are the coefficients of the line and x and y are the coordinates of the point P
![d=\frac{1(4)+3(1)+3}{ \sqrt{ 1^{2}+3^{2} } } \\d=\frac{4+3+3}{ \sqrt{1+9} }\\d=\frac{10}{ \sqrt{10} }\\d=\frac{10 \sqrt{10} }{10}\\d=\sqrt{10}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1%284%29%2B3%281%29%2B3%7D%7B%20%5Csqrt%7B%201%5E%7B2%7D%2B3%5E%7B2%7D%20%7D%20%20%7D%20%5C%5Cd%3D%5Cfrac%7B4%2B3%2B3%7D%7B%20%5Csqrt%7B1%2B9%7D%20%20%7D%5C%5Cd%3D%5Cfrac%7B10%7D%7B%20%5Csqrt%7B10%7D%20%20%7D%5C%5Cd%3D%5Cfrac%7B10%20%5Csqrt%7B10%7D%20%7D%7B10%7D%5C%5Cd%3D%5Csqrt%7B10%7D)
Answer:
see attachment
Step-by-step explanation:
72302 = 9*8000 + 0*400 + 15*20 + 2
The digits are 9 (four dots and one line), 0 (there is a special symbol for this), 15 (three lines) and 2 (two dots).
Hello from MrBillDoesMath!
Answer:
10
Discussion:
(g-f)(5) =
g(5) - f(5) =
(2(5)+13) - (5^2-12) = => as 5^2 = 25
(10+13) - (25-12) =
23 - 13 =
10
Thank you,
MrB