The correct answer is 5 hours. Because 300 divided by 60 is 5
Answer:
The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.
To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.
To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;
⇒ 40.51x + 12.45×1 = 666.64
⇒ 40.51x = 666.64 - 12.45
⇒ 40.51x = 654.19
⇒ x = 
⇒ x ≈ 16.149
Therefore point ( 16.149 , 1 ) lie on the graph of the equation.
***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***
Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is

, and its volume is

. We also know that the area of the larger figure is

; since we don't now its volume, lets represent it with

:



We can conclude that the volume of the larger figure is

; therefore, the correct answer is
a.
The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;
The line has the equation: y - 8 = 3( x + 1);
y - 8 = 3x + 3;
y = 3x + 11.
Answer:
(5,-6) is a solution
Step-by-step explanation:
Given


Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
becomes



becomes



Because both solutions are true, then (5,-6) is a solution