Answer:
Step-by-step explanation:
To find the c value , divide the coefficient of x by 2 and square the result.
The base of a rectangular box has a width of 3 inches and a length of 4 inches. The box is 12 inches inches tall. a) Draw a pict
ure of the box below b) How far is it from one of the box's top corners to the opposite corner of the base of the box?
2 answers:
Answer:
a) attached the figure.
b) diagonal (d) = 13 inches
Step-by-step explanation:
The given figure is a rectangular box in which the length = 4 inches, width = 3 inches, and height = 12 inches.
a) Draw the figure and attached.
b) To find the diagonal from one of the box's top corners to the opposite corner of the base of the box, we have formula.
Diagonal length from top corner to corner of the base (d) =
We know that l = 4 , w = 3 and h = 12
Now plug in these values in the above formula, and find the diagonal.
d =
d =
d = 13 inches.
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reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
It represents reflection across the line y=x.
In option 2,
It represents reflection across the x-axis.
In option 3,
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.