Y + -4 = 9 (this means y plus negative 4 equals 9)
y -4 = 9
+4 +4
y = 13
The mathematical expression for the given statement is 50 + 10x
<h3>How to write a mathematical expression for this statement?</h3>
The given parameters are:
Initial distance = 50 laps
Rate of increment = 10 laps each week
Represent the number of weeks with x
So, we have:
Number of laps = Initial distance + Rate of increment * Number of weeks
This gives
Number of laps = 50 + 10 * x
Evaluate
Number of laps = 50 + 10x
Hence, the mathematical expression for the given statement is 50 + 10x
Read more about expressions at:
brainly.com/question/723406
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Step-by-step explanation:
There are a few steps to follow when you add or subtract rational expressions with unlike denominators.
To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.
Write each expression using the LCD. Make sure each term has the LCD as its denominator.
Add or subtract the numerators.
Simplify as needed.
Answer:
y = - 
(x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2
