Answer:
The value of x is, 
Explanation:
Given: 
Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.
If 
Now, using distributive property on left hand side of the given expression as:
or 
Addition Property of equality state that we add the same number from both sides of an equation.
Add r to both sides of an equation:
Simplify:
Subtraction Property of equality state that we subtract the same number from both sides of an equation.
Subtract Nx from both sides of an equation;
Simplify:
or
Division Property of equality states that we divide the same number from both sides of an equation.
Divide by (34-N) to both sides of an equation;
On Simplify:
Answer:
The correct option is;
Yes, the line should be perpendicular to one of the rectangular faces
Step-by-step explanation:
The given information are;
A triangular prism lying on a rectangular base and a line drawn along the slant height
A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces
Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).
Answer: The volume of container that holds 460 grams of oil is 500 cm³.
Step-by-step explanation:
Density of olive oil is 
An olive farmer wants to sell bottles that contain 460 grams of oil.
Therefore
Mass of oil = 460 grams
As we know
Hence, the volume of container that holds 460 grams of oil is 500 cm³.
The inverse of the function is 
Explanation:
To find the inverse of the equation 
, we need to interchange the variables x and y for the variables y and x.
Thus, the equation becomes
Now, we shall find the value of y.
Now, adding 8 to both sides of the equation, we have,
Interchanging the sides,
Dividing by 2 on both sides,
Taking square root on both sides,
Thus, the inverse of the function is
