9514 1404 393
Answer:
434 -49π ≈ 280.1 cm²
Step-by-step explanation:
The shaded area is the difference between the enclosing rectangle area and the circle area.
The rectangle is 14 cm high and 31 cm wide, so has an area of ...
A = WH
A = (31 cm)(14 cm) = 434 cm²
The circle area is given by ...
A = πr²
A = π(7 cm)² = 49π cm²
__
The shaded area is the difference of these, so is ...
shaded area = rectangle - circle
= (434 - 49π) cm² ≈ 280.1 cm²
Answer:
33
Step-by-step explanation:
I say 33, because of the 11 times table
Point A, point C, point B, and point E
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:
-x^3*(x + 1)
Step-by-step explanation:
Perform the indicated multiplication and then write out all the terms in descending order by powers of x:
-x^3(5x+1)+4x^4 = -5x^4 - x^3 + 4x^4
= -x^4 - x^3, or = -x^3*(x + 1)
