Answer:
y=1/3x-2
Step-by-step explanation:
Plot a point at x=-2 and then for the slope (1/3, rise/run) count up 1 and over 3 starting from -2. This is a line. Y intercept at -2 and x intercept at 6.
Answer:
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joules
W= 19.958778MegaJoules
Step-by-step explanation:
Work to full the tank is
W = mgh.
m is the mass of the water.
But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.
mass = density x volume.
Volume of cylinder = πr2h
Volume to fill the cylinder = (πr2h)/2.(half of total volume)
Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m
Volume = 226.29m3.
Mass = density x volume= 1000 x 226.29 = 226290kg
Therefore, the work is
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joule = 19.958778MegaJoules
Answer:
Step-by-step explanation:
<u><em>Given Equation is </em></u>
=>
Comparing it with , we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β =
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots =
Sum of Roots =
Sum of Roots =
Sum of roots =
Sum of roots =
Sum of Roots =
Sum of roots =
Sum of roots = S =
Product of Roots =
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=>
=>
=>
=>
This is the required quadratic equation.
The fraction is 156/468 and the percentage is 33 percent
Answer:
4x^2+24x=4
Step 1:
make the coefficient of x² as 1, divide both sides by 4
x² +6x =1
Step 2:
take half of coefficient of x, square it and add it to both sides
half of 6 is 3 and 3²=9, so add 9 to both sides
x² +6x+9=1+9
x²+6x+3²=10
(x+3)²=10
now when we take square root we will get both + and - √10 on right side
x+3= +√10
x+3=-√10
solving for x
x=+√10-3
Step-by-step explanation: