What is the answer to 2(-3x - 6)
2 answers:
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Answer:
x = - , x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 3 = 0 ⇒ x = 3
Answer:
1.) 9.9
2.) 15.6
Step-by-step explanation:
1.) Consider triangle AEH
AEH is a right angle triangle as ∠AEH = 90°
AH is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ EH≈9.9
2.) Consider triangle CDF
CDF is a right angle triangle as ∠CDF = 90°
CF is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ DF≈15.6