PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are
at opposite elevation is because they are in opposite directions is he correct? Explain.
2 answers:
Answer:
Yes, he is correct.
Step-by-step explanation:
Given,
Michael's home is 12 feet below sea level,
And, his mother's home is 12 feet above sea level,
That is, with respect to sea level Michael's home is towards north direction and his mother's home is towards south direction.
Thus, the position of Michael's home with respect to sea level = - 12,
And, the position of his mother's home with respect to sea level = + 12,
Since, the elevation is measured vertically.
⇒ Their home are at opposite elevation,
Hence, their home are at opposite elevation because of they are in opposite directions.
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Answer:
x = 15 or x = -
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -