Answer:
58
Step-by-step explanation:
Answer:
1st time: 50% chance or 8/16 chance
2nd time: 46% chance or 7/15
I can try again if its wrong
Multiply out <span>f(x)=(x-8)(x-2): f(x) = x^2 - 8x - 2x + 16, or f(x) = 1x^2 - 10x + 16.
Thus, a=1, b= -10 and c=16.
One of several ways to find the vertex involves "completing the square."
x^2 - 10x + 16 = x^2 - 10x + 25 - 25 + 16, or y = (x-5)^2 -9, or y+9=(x-5)^2.
Compare this result to y-k = a(x-h)^2. We see that h=5 and k=-9.
Thus, the vertex is at (h,k) = (5, -9). </span>
Answer:
∠8 = 40°, ∠6 = 50°, ∠9= 140°
Step-by-step explanation:
∠8 = 40° (vertically opposite angles are congruent)
now, using angle sum property of triangles
∠6 + 90° + 40° = 180°
∠6 = 180° - 130°
∠6 = 50°
and, using exterior angle property,
50° + 90° = ∠9 = 140°
Answer:
225 centimeters.
Step-by-step explanation:
To solve this, we need to find half of 4.5. We can do this by dividing 4.5 by 2. When we do this, we get 2.25. This means Noah's plane flew 2.25 meters, but we aren't done yet. Now, we need to find how much farther Aaron's plane flew. We can do this by subtracting 2.25 from 4.5. From this, we get 2.25. That last step wasn't really necessary. Now, we need to convert 2.25 meters to centimeters, we can do this by multiplying 2.25 by 100. When we do this, we get 225. This means Aaron's plane flew 225 centimeters farther than Noah's plane.
