How tall is a building that casts a 61-fit shadow when the angle of elevation of the sun is 60 degrees?
1 answer:
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Answer:
y = -3x -4
Step-by-step explanation:
A perpendicular line has a slope that is the negative reciprocal of that of the given line. When the equation starts out in standard form, a line with negative reciprocal slope can be written by swapping the x- and y-coefficients and negating one of them.
The given x- and y-coefficients have the ratio 1:-3, so we can use the coefficients 3 and 1 for our purpose.
The usual process of making the line go through a given point can be used. That is, we can translate the line from the origin to the desired point by subtracting the point coordinates from x and y. Then we have ...
3(x+3) +(y-5) = 0
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This is "an" equation. It is in no particularly recognizable form. It can be rearranged to the form y = mx + b:
3x +9 +y -5 = 0 . . . . . eliminate parentheses
y = -3x -4 . . . . . subtract terms that are not "y"
Answer:
none of the above
Step-by-step explanation:
You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.
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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given points, we get ...
y = (3 -1)/(2 -4)·(x -4) +1
y = 2/(-2)(x -4) +1 . . . . . simplify a bit
y = -x +4 +1 . . . . . . . . . simplify more
y = -x +5 . . . . . . . . . . . slope-intercept form
<u>Answer:</u>
Broker1 with $66.
Broker2 with $54.25
Broker4 with $50
Broker3 with $47.5
Broker5 with $33.5
<u>Explanation : </u>
Total number of shares Cindy have : 300
Market Price per share : $25
Total price for the shares : 300 $25
= $7500
Now ,
<u>Case 1: </u>
Commission provided by broker1 = 0.75%
Online fees provided by broker1 = $ 10
Total price provided by broker1=
=$66.25
<u>Case 2: </u>
Commission provided by broker2= 0.5%
Online fees provided by broker2=$17
Total price provided by broker2=
=$54.5
<u>Case 3: </u>
Commission provided by broker 3= 0.6% for 100 0r few
Not applicable because the total shares are 300
For over 100 shares
Commission provided= 0.5%
Online fees = $10
Total price =
=$47.5
<u>Case 4: </u>
For more than 100 shares
Online fees for buying and sharing= $50
Total price = $50
<u>Case5 : </u>
Commision for a share bought or sold = 0.05%
Online fees =$30
Total Price=
=$33.75