A) The product of x and y equals 196. Thus, A) x is equal to 196 divided by y.
B) The sum of x and y is 35. By substituting A) into B), we have
B) 196 divided by y plus y equals 35. Multiplying both sides by y yields
B) 196 plus y squared equals 35y. This results in B) y squared minus 35y plus 196 equals 0.
Therefore, the solutions are X1 = 28 and X2 = 7.
The variations occur due to the distinct rows of pennies
Angles known as vertical angles are those that are located across from each other at a common vertex where two lines intersect.
In the illustration, there exists only one pair of vertical angles.
These are Angle TSW and Angle ISN, both converging at the vertex labeled S.
<span>Answer is: B. Angle ISN and Angle TSW.</span>
Response:
The graph in question is linked to g(x) = -2x, though it is not provided.
Detailed explanation:
A reflection across the y-axis changes the sign of the x-coordinate for every point. To derive the new function, we substitute x with -x:
g(x) = f(-x) = 2(-x) = -2x
This leads us to g(x) = -2x.
Answer:
The variable x lies within the interval of all positive real numbers less than 5 cm.
Detailed solution:
Problem statement:
Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.
Refer to the provided diagram for clarity.
Define:
x → length in centimeters of each square cutout side
The volume of the box with open top can be written as:
Given this, we have:
By substitution:
Determine the domain of x:
Because:
Therefore:
Domain is the interval (0,5)
That means all real numbers strictly greater than zero and less than 5 cm are valid for x.
Hence, the volume V as a function of x is:
