Answer:D
Step-by-step explanation:
factorise 2x²-16x+32
x²-8x+16
(x-4)²
factorise 4x²-2x-20
2x²-x-10
2x²+4x-5x-10
2x(x+2)-5(x+2)
(2x-5)(x+2)
solving for (f/g)(x)
(x-4)²/(x+2)÷(2x-5)(x+2)/(x-4)²
(x-4)²/(x+2)*(x-4)²/(2x-5)(x+2)
(x-4)⁴/(2x-5)(x+2)²
Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
Use the rational root theorem
a0=16, an=1
The dividers of a0: 1,2,4,8,16 The dividers of an:1
Therefore check the following rational numbers: +- 1,2,4,8,16/1
4/1 is a root of the expression, so factor out x-4,
compute (x^4+13x^3-64x^2-20x+16)/(x-4) to get the rest of the equation:
x^3+17x^2+4x-4
=(x-4)(x^3+17x^2+4x-4)/x-4
which will leave you with answer B
x^3+17x^2+4x-4
The answer is C.672 sq in. bescause you have to times 14 by 48 and get your area of 672.
