Answer:
B
Step-by-step explanation:
given the 2 equations
y - 4x = 12 → (1)
2 - y = 2(x + 2)² → (2)
rearrange (1) expressing y in terms of x
y = 12 + 4x
Simplify (2) by expanding factor and substituting y = 12 + 4x
2 - (12 + 4x) = 2(x² + 4x + 4)
2 - 12 - 4x = 2x² + 8x + 8
- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form
add 10 + 4x to both sides
2x² + 12x + 18 = 0 ← in standard form
divide through by 2
x² + 6x + 9 = 0
(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3
Point of intersection = (- 3, 0 ) → B
The LCM of 15 and 50 is 150
Answer:
The answer would be 21.248 miles
We know that triangle COW is a right triangle by the Tangent to a Circle Theorem.
So, we can use Pythagorean Theorem to find OW.
OW² + WC² = CO²
OW² + 15² = 17²
OW² + 225 = 289
OW² = 64
OW = 8
It's impossible for 2 factors of 12 to add up to 16. So there would be no answer to that.
