Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
Answer:
C≈157.08in
Step-by-step explanation:
C=2πr=2·π·25≈157.07963in
If you solve this the anwser is 10
Answer:
Getting my points back that u took by spamming.
Step-by-step explanation:
The answer is:
Justin weighs 165 pounds.
Greg weighs 180 pounds.
If:
j - Justin's weight
g - Greg's weight
Then the system of equations is:
j + 15 = g ⇒ g = j + 15
1/2g = j - 75 ⇒ j = 1/2g + 75
We can replace j in the first equation:
g = <span>1/2g + 75 + 15
g - 1/2g = 90
1/2g = 90
</span>⇒ g = 90 ÷ 1/2 = 180
<span>
Thus, Greg weighs 180 pounds.
Now, using the first equation, we will calculate Justin's weight:
</span>j + 15 = g ⇒ j = g - 15
g = 180
Thus
<span>j = g - 15 = 180 - 15 = 165
</span>
Therefore, <span>Justin weighs 165 pounds.</span>
