Answer:
14, 16
Step-by-step explanation:
The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.
Answer: 1,2,3, and 5
Step-by-step explanation:
The isometries that preserve a shapes angles and line segments making the pre image congruent to the (post) image are :
Reflections, rotations, translations
These are rigid transformations. Think of your ruler. If you flip it, slide it, or rotate it around, did the ruler change shape? No. Just positions.
If you dilate something, you are either making it larger or smaller, therefore changing the size of the shape.
Anything that has dilation in its transformation does not have congruent shapes.
Answer:
The coordinates are 
and 
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where 
is the vector translation.
If we know that 
and 
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
Answer:
y = -9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
50000 5000 200 20 2
Step-by-step explanation:
