Answer:
Plane SPT and Plane SPV
Step-by-step explanation:
A plane is defined by the set of three points lying on the same (two dimensional) surface.
A plane 'R' has been given in the picture.
Points lying on this plane or surface are S, P, T and V.
Therefore, possible names may be,
SPT, STV, SPV, PTV
From the given options names of the plane R will be,
Plane SPT and Plane SPV,
To get this you substitute 7 for the x.
7/8(7)-1/2
49/8-1/2
49/8-4/8
45/8 is the value.
Answer:
slope
:
The steepness of a line expressed as a ratio, using any two points on the line.
y-intercept
The value of y at the point where a curve crosses the y-axis.
Step-by-step explanation:
Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
Given the rate of water flow is given by:
r(t)=85e^(-0.04t)
thus the amount of water flow in the first hour when t=1, will be:
r(1)=85e^(-0.04*1)
=81.667
thus the amount of water that flowed out will be:
85-81.667
=3.333 liters