Answer:
26
Step-by-step explanation:
Distance = (x2 - x1) ² + (y2 - y1)²
Distance = ( 3-4)² + (-2-3)²
Distance = 26
9514 1404 393
Answer:
d. 14 -3x
Step-by-step explanation:
If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.
3x +y = 14 . . . . . . first equation
y = 14 -3x . . . . . . subtract 3x from both sides
This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.
y = 14 -3x . . . . matches D
If x approach infinity then (x² + 1)/(2x² +1) = 1/2 then lim as x approach infinity
lim y = arccos 1/2 = 1.047
one of those questions are polynomials and the one that is a polynomial is obviously the answer and that would be the third one
To solve you need to set the equation equal to 6 (the height at which the player caught the ball.
6 = -16t^2 + 70t + 4
Next put the equation in standard form by subtracting 6 from both sides
-16t^2 + 70t - 2 = 0
This equation can be simplified by dividing by 2
-8t^2 + 35t - 1 = 0
This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.
using the quadratic formula we can solve for x
-b +/- sqrt(b^2 - 4ac)
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2a
The solutions are
0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.