Answer:
A) -13p^33q^-2 or -13p^3/q^2
B) 8x + 5y - 7
C) 15x^2 -23x + 4
Step-by-step explanation:
A) 169/(-13) = -13 p^4/p = p^3 q/q^3 = 1/q^2 which can be written as q^-2 and r/r is 1. So if you put this all together you get -13p^33q^-2 or -13p^3/q^2
B) 3(x +2y) + 5x - (y + 7)
3x + 6y + 5x - y - 7 distributive property
3x + 5x + 6y - y -7 combine like terms
8x + 5y - 7 Answer
C) (3x-4) (5x - 1) Foil multiply the first terms in each parenthesis. the outer terms, the inner terms and the last terms
(3x)(5x) + (3x)(-1) + (-4)(5x) + (-4)(-1)
15x^2 -3x - 20x + 4
15x^2 -23x + 4
A rectangle is a quadrilateral and its area is expressed as the product of its length and width. From the given, we have:
Length = x + 2
Width = 2x - 5
Area = 54 cm^2
Area = Length x Width
Substituting the values,
Area = (x + 2) ( 2x-5) = 54
54 = 2x^2 - x - 10
2x^2 - x - 64 = 0
We can see that the equation above is a polynomial with a degree of 2 therefore we can usethe Quadratic Formula to solve for x. The quadratic formula will solve two values of x.
x1 = (-b + (√b^2 - (4ac))/ 2a = 5.91
x2 = <span>(-b - (√b^2 - (4ac))/ 2a = -5.41
Since, for this case, the value x should not result to a negative value for both dimensions thus x is equal to 5.91.</span>
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
the "n" is the offset from zero. In this case it's -6
n = -6
:)
