Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:
Where:
r: is the radius
For the 12-inch pizza we have:
And for the 6-inch pizza we have:
The ratio between A₆ and A₁₂ is:
Hence:
Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
Answer:
Step-by-step explanation:
GIVEN: A farmer has of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be and
perimeter of rectangular pen
area of rectangular pen
putting value of
to maximize
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen
width of rectangular pen
Maximum area of rectangular pen
Hence maximum area of rectangular pen is and dimensions are
9514 1404 393
Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
