Answer:
Option A (k < -1).
Step-by-step explanation:
Enlargement is one of the linear transformations which changes the size of the shape formed by a combination of some points in the exact proportion. For enlargement (also called dilation), there are two parameters required: the center of enlargement, according to which the transformation occurs, and the scale factor, the size by which the transformation is done. The scale factor can be of any number k. If k is larger than 1 or -1, then it will cause enlargement. If k is between -1 and 1, it will cause anti-enlargement. The magnitude of k determines the size and the sign of k determines the direction. So in this case, k < -1 will cause the enlargement: even though the scale factor is less than -1, but it will enlarge the shape on the opposite direction. Option B and Option C cause anti-enlargement and Option D cause no enlargement or anti-enlargement. So Option A is the correct answer!!!
Answer:
6.2 oz is lower
Step-by-step explanation:
The circle has a diameter of 16.
The formula for the circumference of a circle is diameter*pi
So, the circumference is 16*pi, or 16pi. (answer choice C.)
Answer:
x = 8√5
Step-by-step explanation:
In the figure attached, there are three right angle triangles.
So, by Pythagoras theorem,
y²+ 4² = z²
y² + 16 = z²------(1)
Similarly x² = 16² + y²--------(2)
and (16 + 4)² = x² + z²
20² = x² + z²-------(3)
Now we put the value of z² from equation 1 to equation 3
20² = x² + y² + 16
x² + y² = 400 - 16
x² + y² = 384
y² = 384 - x²------(4)
Now we put the value of y² from equation 4 to equation 2
x² = 16² + 384 - x²
2x² = 256 + 384
2x² = 640
x² = 320
x = 8√5
Therefore x = 8√5 will be the answer.
