Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for :
Since is close to (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.
The expression becomes 6(7.9)+2π
Step 2: Approximate the value for 2π
Since π is approximately 3.14, 2π is approximately 6.28.
The expression becomes 6(7.9)+6.28
Step 3: Use order of operations
6(7.9)+6.28=47.4+6.28=53.68
b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.
Answer:
second option
the reasoning is that its mirrored over the line y = x
and g is only there to confused you a little
Momentum = mass * velocity
50 meters in 5 seconds = 50/5 = 10 m / second
Required momentum = 200*10 = 2,000
I cant remember how to write the units for this.
Answer:
The required y-value is -121.
Step-by-step explanation:
There are several ways in which we could approach this problem. From the two binomial factors (x + 8) and (x - 14), we know that the two roots are x = -8 and x = 14. The axis of symmetry is the vertical line x = 3. This value is halfway between x = -8 and x = 14.
Substituting x = 3 into f(x)= -(x+8)(x-14) results in f(3) = -(11)(-11) = -121.
The vertex is at (3, -121). The required y-value is -121.