Answer:
Step-by-step explanation:
Total area will be sum of two areas
5x²-6x+4 + 15x²+8x+2
20x²+2x+6
Answer:
The triangles are scalene and right.
Step-by-step explanation:
Have a nice day! :D
Step-by-step explanation:
Answer is k>-1
Range of
is [4,∞).
<u>Step-by-step explanation:</u>
Here we have , function
, We need to find range of this function . Let's find out:
In the function
, Let's focus on
: It's a perfect square whose value will be always positive and greater then equal to zero i.e.
⇒
, So minimum value of
is 0 at x=-3 . ∴
⇒ ![f(x)=(x + 3)^2 + 4](https://tex.z-dn.net/?f=f%28x%29%3D%28x%20%2B%203%29%5E2%20%2B%204)
⇒ ![f(-3)=(-3+ 3)^2 + 4](https://tex.z-dn.net/?f=f%28-3%29%3D%28-3%2B%203%29%5E2%20%2B%204)
⇒ ![f(-3)= 4](https://tex.z-dn.net/?f=f%28-3%29%3D%204)
Minimum value of
is 4 , And maximum value of
can be ∞ as value of x can be increased . Therefore , Range of
is [4,∞).
Answer:
Total Area = 1200 in^2
Step-by-step explanation:
There is a triangle and a rectangle.
Arca Triangle: Area = 1/2 * Base* Height
Area = 1/2 * 40 in * 30 in = 600 in^2
Area Rectangle: Area = Length* Width
Area = 30 in * 20 in = 600 in^2
Total Area = Area Rect + Area Tri
Total Area = 600 in^2 + 600 in^2 = 1200 in^2