Answer:
The domain of function
is set of all real numbers.
Domain: (-∞,∞)
Step-by-step explanation:
Given:


the domain of both the above functions is all real number.
To find domain of :

Substituting functions
and
to find 

The product can be written as difference of squares. ![[a^2-b^2=(a+b)(a-b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29%5D)
∴ 
The degree of the function
is 2 as the exponent of leading term
is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.
So Domain of
is (-∞,∞)
Answer:
Step-by-step explanation:
∠Y = ∠P, so AY = AP
Perimeter = AY + AP + 13 = 43
AY + AP = 30
∠Y = ∠P, so AY = AP
AP = 30/2 = 15
Answer:
640 units squared
Step-by-step explanation:
The shape below is a trapezoid.
The formula for the area of a trapezoid is average of the bases times the height.
The bases are the parallel lines that make up 2 of the sides of the trapezoid.
The height is the line dotted line that creates right angles and is the distance between the two bases.
The bases are 24 and 40.
To find the average, we add them together and divide by 2
(24+40)/2=64/2=32
Now, we multiply 32 by the height, which is given as the length of 20.
32*20=640
the area of the trapezoid is 640 units squared
Hope this helps!
Answer:
(8 * x) + 2x = 60
8x + 2x = 60
10x = 60
/10 /10
x = 6
8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.
We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).
Answer: 30.48
Step-by-step explanation:
Sum the series of 30.48 + (1/2)(30.48)+ (1/4)(30.48)+(1/8)(30.48)+(1/16)(30.48)+(1/32)(30.48)
Or use an Excel spreadsheet