Answer:
1462.5
Step-by-step explanation
225 mph means of course 225 miles per hour
225 x 6 is 1350 and then you have to do 225/2 which is 112.5 to find what half of 225 is then you add 1350+112.5 to get 1462.5
The formula for arc length is:
s= r∅
Given that ∅= 7π/4
and r= 5
Therefore, arc length s= 7π/4 *5 = 35π/4
Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )
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