Answer:
(x-5)^2+2
Step-by-step explanation:
To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).
Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:
(x-10x+25)+27-25
Then, we can make (x-10x+25) to (x-5)^2:
(x-5)^2+2
Answer:
638 in.²
Step-by-step explanation:
Assuming you need to cover just the surface area of the box with no overlaps, and the shape is a rectangular prism, then you need to find the surface area of a rectangular prism.
SA = PH + 2LW
where
P = perimeter of base = 2(L + W),
H = height of prism
L = length of base
W = width of base
SA = 2(16 + 7)(9) + 2(16)(7)
SA = 638
Answer:
Part a) 3 inches
Part b) Yes, her scale model drawing will fit on the piece of paper 8.5 by 7 inches
Step-by-step explanation:
we know that
The scale drawing is

That means
1 inch in the model represent 2 feet in the actual
Part a) What is the length of the garden in her model?
we know that
The length of the garden is 6 feet in the actual
so
Find out the length of the garden in her model, using proportion

Part b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
we know that
The model width is described as 5 inches. Both the 3-inch length and the 5-inch width are less than the 8.5 inch and 7 inch dimensions of the paper Kelly is using.
therefore
She can easily draw her model on that size paper.
Answer:
90%, or 180%, it depends on if one rectangle equals one whole, if yes, then 180%, but if both rectangles equal one whole then 90%