How much longer is 2 1/2 inch long piece than a 2/5 inch long piece of string
1 answer:
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Answer:
Step-by-step explanation:
The equation of the given line:
This equation is in the form . Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line:
Answer:
see explanation
Step-by-step explanation:
3x² + 5x + 2 = 0
(a)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 2 = 6 and sum = 5
The factors are + 3 and + 2
Use these factors to split the x- term
3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x + 2) = 0
(b)
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = -