Answer:
<h2>(2x - 3y)(4x - y) = 8x² - 14xy + 3y²</h2>
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
= 8x² - 2xy - 12xy + 3y²
<em>combine like terms</em>
= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²
Answer:
x = -1, PR = 38.
Step-by-step explanation:
As Q is the midpoint of PR
PQ = QR
6x + 25 = 16 - 3x
9x = -9
x = -1.
PR
= 6x + 25 + 16 - 3x
= 6(-1) + 25 + 16 - 3(-1)
= -6 + 25 + 16 + 3
= 38.
For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
The answer is choice C. The reason why is because f(2010) = t(2010). The outputs of the f(x) and t(x) functions are the same when the input is x = 2010. In this case, the output is 740.