Answer:
D. x. x^7 . x^-4
Step-by-step explanation:
A. X^5 . X^-4 .X^2=X^(5-4+2)= X^3
B. X^-2 .X^9 .x^-4=X^(-2+9-4)= X^3
C.x^0 . x^10 . x^-7=X^(0+10-7)= X^3
D. x. x^7 . x^-4=X^(1+7-4)= X^4
I got 157/990. Just don't ask me how. I just used my fancy TI-84 Calculator.
X equals 16
12+16=28
28 divided by 2 = 14
Answer:
A) A = X^2 + 11X + 24
B) X = 18 ft
C) 414 ft^2
D) 132 ft^2
Step-by-step explanation:
A) Width W of yard and path = X + 3
Lenght L of path = X + 5 + 3 = X + 8 ft, therefore,
Area of yard and path = L x W = (X +3) x (X +8)
A = X^2 + 11X + 24
B) if area of the yard and path is 546 ft^2,
546 = X^2 + 11X + 24
X^2 +115X - 522 = 0 (quadratic equation)
Solving the quadratic equation gives
X = 18 and X = -29
Our answer can only be positive so we choose X = 18 ft
C) lenght of yard = 5 + 18 = 23 ft
Width = 18 ft
Therefore area = L x W = 23 x 18 = 414 ft^2
D) area of path = area of path and yard minus area of yard
= 546 - 414 = 132 ft^2
Since the properties of a rhombus tells us that both pairs of opposite sides are congruent we can therefore conclude that DB will be 12
