Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
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 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
The integers are x - 1, x and x + 1
x - 1 + x + x + 1 = 186
3x = 186
x = 186/3 = 62
Therefore, the numbers are 61, 62 and 63
Answer:
<h3>A.
50 yards.</h3>
Step-by-step explanation:
Given the coordinates of the length of PH as P(2,55) and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.
D = √(x₂-x₁)²+(y₂-y₁)²
PH = √(32-2)²+(15-55)²
PH = √(30)²+(-40)²
PH = √900+1600
PH = √2,500
PH = 50
Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.
Answer: 1/5
Step-by-step explanation: