Answer:
x² = 8 - (y - 8)² - 2x
x² = 16y - y² - 2x - 56
Step-by-step explanation:
∵ (x + 1)² + (y - 8)² = 9
∵ x² + 2x + 1 = 9 - (y - 8)²
∴ x² = 9 - (y - 8)² - 2x - 1
∴ x² = 8 - (y - 8)² - 2x
OR:
∵ x² = 8 - (y² -16y + 64) - 2x
∴ x² = 8 - y² + 16y - 64 - 2x
∴ x² = 16y - y² - 2x - 56
<span>1/2+(-2/3)
Multiply until both fractions have the same common denominator
3/6 - 4/6
Subtract the numerator but NOT the denominator
Final Answer: -1/6</span>
Answer:
x ≈ 263.1
Step-by-step explanation:
The marked sides are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(70°) = 90/x . . . . use given values
x = 90/cos(70°) . . . . multiply by x/cos(70°)
x ≈ 263.1
_____
<em>Additional comment</em>
The mnemonic SOH CAH TOA is intended to remind you of the primary trig relations:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
Answer:
base = 12 ft²
The base could be 3 ft x 4 ft, 6 ft x 2 ft, etc. (any numbers multiplied together = 12)
Step-by-step explanation:
volume = 1/3bh
8 = 1/3b(2)
multiply both sides of the equation by 3:
24 = 2b
b = 12 ft²
