Unless there is more than one cake, Riley could not have eaten 6/5 of a cake, as 6/5 is the same as 1 and 1/5, implying that Riley ate the whole cake, and then at another 1/5 of the cake that he had already eaten.
Answer is D, 16. There is a rule about circles regarding this. When there are chords in the circle of equal measure, the distance from the center of the circle to the midpoint of the chord is equal.
We can simply multiply the roots together to find the original function.
(x + 2)(x - 4)(x - 4)(x - 3)
FOIL.
x^2 - 4x + 2x - 8(x - 4)(x - 3)
Combine like terms.
x^2 - 2x - 8(x - 4)(x - 3)
FOIL.
x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)
Combine like terms.
x^3 - 6x^2 + 32(x - 3)
FOIL.
x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96
Combine like terms.
<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>
It would be B
<span>Ethan ended up with 50 trading cards.
Before Ethan bought 20 cards, he had 50 – 20 = 30 cards.
Before he sold 12 cards, he had 30 + 12 = 42 cards.
Ethan had 42 cards before the swap meet
That would be correct
</span>
Answer: x = 150°
Step-by-step explanation:
The tangent intersects the circle's radius at a 90° angle, so ∠OAC = ∠OBC = 90°.
AOBC is a quadrilateral and we know that sum of interior angles of quadrilateral equals to 360°.
Now,
∠OAC + ∠OBC + ∠AOB + ∠ACB = 360°
90° + 90° + x + 30° = 360°
210° + x = 360°
x = 360° - 210°
x = 150°
