Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
-2k+4=10
1st, subtract 4 from both sides so that it'll cancel out. -2k=6
2nd. divide by -2. K=-3
Answer:
-3.5 meters per second
Step-by-step explanation:
Divide the distance by the time.
-17.5 meters / 5 seconds = -3.5 meters per second
-6x8 equals -48 and adds to give you positive two