Imagine a ladder leaning against the wall and you know the height of the ladder and its distance from the wall and you had to find out the height you could use pythagorean theorem here
Answer: y = 1/4x - 4
Step-by-step explanation: write it in slope intercept form y = mx + b
The polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.
<h3>Addition of Polynomials</h3>
Like terms should be combined together when adding polynomials.
Let x represent the polynomial expression that would be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n².
Therefore:
–7mn + 2m² + 3n² + x = 5m² + 2mn - 9n².
x = 5m² + 2mn - 9n² - (-7mn + 2m² + 3n²)
x = 5m² + 2mn - 9n² + 7mn - 2m² - 3n²
Combine like terms together.
x = 3m² - 11n² + 9mn
Therefore, the polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.
Learn more about polynomial on:
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Answer:
(x ≤ -3) ∪ (11 ≤ x)
Step-by-step explanation:
The given equation resolves to two equations:
x -4 ≥ 7 ⇒ x ≥ 11
x -4 ≤ -7 ⇒ x ≤ -3
The solution is (x ≤ -3) ∪ (11 ≤ x).
