Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
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Answer:
Step-by-step explanation:
a. 29/8 + 2(19/4) + 3(27/8) = 29/8 + 38/4 + 81/8 = 29/8 + 76/8 + 81/8 = 186/8 in.
b. 186/8 times 2 = 372/8 in
c. the shortest plane would be 27/8 and the largest would be 19/4 or 38/8.
If you subtract the two, you get 11/8. The difference is 11/8 in.
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A cyclic quadrilateral is a quadrilateral whose vertices all touch the circumference of a circle.
Opposite angles in a cyclic quadrilateral add to 180 degrees. Quadrilateral ABCD is a cyclic quadrilateral.
< A+<C=180
Substituting <A and <B values given in figure:
x+2+x-2=180
Adding like terms:
2x=180
Dividing both sides by 2
x=90°
<A=x+2=90+2=92°
<C=x-2=90-2=88°
<D=x-10=90-10=80°
<B+<D=180
<B=180-80=100°
The angles of the quadrilateral ABCD are
<A=92°
<B=100°
<C=88°
<D=80°