Let's start with the given polynomial:
2x² - 12xy - 32y²
As a first step, we want to regroup 2:
= 2(<span>x² - 6xy - 16y²)
Now, we want to re-write the term -6xy in order to be able to perform a partial factoring. In this case, we can write:
-6xy = -8xy + 2xy
Therefore, the polynomial becomes:
= </span>2(<span>x² - 8xy + 2xy - 16y²)
Now we factorize x within the first two terms and 2y within the last two:
</span>= 2[x(x - 8y) + 2y(x - 8y)]
We can now regroup the common term:
=2(x - 8y)(x + 2y)
Your answer is hence B = 2
The equation of the unit circle is
x^2 + y^2 = 1
If x = 5/8, then solving for y
(5/8)^2 + y^2 = 1
y^2 = 1 - 25/64
y^2 = 39/64
y = sqrt(39/64)
We use the positive square root because positive x-coordinate and positive y-coordinate is in the first quadrant.
Therefore the answer to this question is sqrt(39)/8
Answer:
B
Step-by-step explanation:
The value of the polynomial for x = 3 is the value of P(3)
P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B
You divide 2.5 to both the miles and hours to get 1 hour and the miles remain.
The answer is 54 miles
