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!!!
First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.
Look at the face of the pyramid facing you. The length of the base of this pyramid is 82 m; half of that is 41 m.
If you were to draw a straight vertical line through the vertex of the pyramid, the bottom of this line would be at the very center of the base and also be 41 in perpendicular distance from any of the edges of the base of this pyramid.
Let the height of the pyramid be y, as measured upward from the center of the base of the pyramid. This center is, as before, 41 m from any side of the pyramid base, a horiz. distance.
Then, tan 52 deg = y / 41 m, and so y = height of pyramid =
(41 m)(tan 52 deg) = (41 m) (1.28) = 52.48 m
Answer:
27 attendees
Step-by-step explanation:
First, we can find the cost per attendee.
78÷26
3
So $3 per attendee.
Then divide 81 by 3 to find the number of possible attendees.
81÷3=27
I hope this helps!
Answer:
These lines are perpendicular.
