Parallel = same slope
Y = -4x + b
(0,8) y intercept; plug in
Solution: y = -4x + 8
The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.
Option D is correct.
<h3>What is the slope of a graph?</h3>
The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).



From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.
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Answer:
a = 1 and b = 2
Step-by-step explanation:
Using the Quotient Rule>
d/dx[(sin x)/(2+cos x) ]
= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2
= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2
But cos^2x + sin^2x = 1 so we have:
(1 + 2 cos x) / (2 + cos x)^2
- so a = 1 and b = 2.
Answer:
930 dollars
Step-by-step explanation:
Let software programs = S
Video game = V
Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.
How many items of each kind should be produced per week in order to maximize the profit?
The to get profit P
P = 7S + 8V
Since the profit on video game is higher, we will give maximum production to video game. Therefore,
P = (30 × 7) + ( 8 × 90)
P = 210 + 720
P = 930 dollars
The number of tennis ball that will fill the room is <u>1,371 tennis balls.</u>
<em><u>Given</u></em>:
Diameter of ball (d) : 2 inch
Radius (r) = half of diameter = 1 inch
Dimension of room = 20ft by 16ft by 18ft
Number of balls that will fill the room = Volume of each ball/volume of the room
Volume of the ball = volume of a sphere = 
Where,
r = 1
let 
<em>Substitute</em>:

Volume of the room = 

Therefore:
number of tennis balls that will fill the room = 
Therefore, the number of tennis ball that will fil the room will be <u>approximately 1,371.</u>
Learn more about volume here:
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