What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
1 answer:
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Answer:
Use the Pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:
Simplify the equation to get:
Add 16 and 9 to get 25 and take the square root of both sides:
The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.
Answer:
The equation modelling the situation is .
After <u>10 months</u> the cost would be $400.
Step-by-step explanation:
Given:
Annual Fee of flying club = $200
Monthly fee = $20
We need to write an equation for total cost.
Solution:
Let the number of months be denoted 'm'
Let Total cost be denoted by 'T'
Now we can say that:
Total cost is equal to sum of Annual Fee of flying club plus Monthly fee multiplied by number of months.
framing in equation form we get;
Hence The equation modelling the situation is .
Now given:
We need to find the number of months when total cost will be $400
So we will substitute T= 400 in above equation.
Subtracting both side by 200 we get;
Dividing both side by 20 we get;
Hence After <u>10 months</u> the cost would be $400.