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:
4.5 feet
Step-by-step explanation:
Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.
In the scale, scale to actual is 1 inch to 2.5 feet
let 1.8 inch scale = x actual feet
Thus mathematically, by cross multiplying; we have;
x = 2.5 * 1.8 = 4.5 feet
Answer:
The original price of the phone is £388.
Step-by-step explanation:
Since 5% of the price of the phone is reduced, you can simply multiply the reduced number which is £19.4 by 20. Your final answer should be £388 when you put it on a calculator or do it on a piece of paper.
<u>Given</u>:
Given that the sides of the shape.
The given shape consists of 8 sides.
We need to determine the perimeter of the given shape.
<u>Perimeter</u>:
The perimeter of the figure can be determined by adding all the lengths of the sides of the shape.
Thus, we have;
Adding the values, we get;
Thus, the perimeter of the given shape is 36 feet.
Debra will travel 50 miles in 25 minutes
Step-by-step explanation:
Given
distance = 2 miles
Time = 1 minute
Other time = 25 minutes
We can use the proportions to find the number of miles debra will travel in 25 minutes
So,
Hence,
Debra will travel 50 miles in 25 minutes
Keywords: Proportion, rate
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