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:
m = 3
Step-by-step explanation:
It is given that there are two triangles
ABC and
ABC ~
Also, the sides are:
AB= 3
BC= 4
DE= 2m
EF= m+5 and
∠B≅∠E
Please have a look at the attached figure for
ABC and
The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.
i.e.

So, <em>value of m = 3.</em>
Answer:
560-39<275*2
Step-by-step explanation:
560-39=521
275*2=550
521<550