Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x -----> the number of hours worked
y ----> the amount paid in dollars
In this problem we have a proportional variation, between two variables, x, and y
<em>Find out the constant of proportionality k</em>
For (5,300) -----> 
----> 
For (4,240) -----> ----> 
For (6,360) -----> ----> 
The constant k is
The equation is equal to
The unit rate of change of dollars with respect to time is equal to the constant of proportionality or slope of the linear equation
therefore
<em>From the information given above, </em><u><em>D is the answer</em></u><em> which has a constant proportionality equal to 1. </em>
Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
Answer:
Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.
Step-by-step explanation:
When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.
In this question aspect ratio of television is given as 16:9
This can be written as 
or 
Screen of the T.V. is 65 inch which is the diagonal length of the screen.
We know from pythagoras theorem in a right angle triangle
Now height of the T.V.will be
now area of the T.V.=W×H=39×21.94=855.66 square inch
Answer:
A
Step-by-step explanation:
