The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables or numbers.
Two lines are said to be perpendicular if the product of their slopes is equal to -1.
The slope of the line:
2x - 5y = 7
5y = 2x - 7
y = (2/5)x - 7
The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2
Hence:
The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b
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Answer:
The other rational number in the operation given is:
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
(We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.
Answer:
50 Feet
Step-by-step explanation:
2L +2W = 148
L=1.5W+14
2(1.5W+14)+2W=148
3W+28+2W=148
5W=120
w=24