Answer:
X= -10
Step-by-step explanation:
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
-5*-2=-10
The factors to multiply to give negative 10 is -5 and 2
6 plus negative two gives you negative four. The factors to add to give you -4 is 6 and -2
Answer:
2
Step-by-step explanation:
10^2 - 8^2 = B^2
B = 2
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.
