Answer:
a. (-1, 3)
Step-by-step explanation:
The "glide" 4 units right and up is the transformation ...
(x, y) ⇒ (x+4, y+4)
The reflection across y=1 is the transformation ...
(x, y) ⇒ (x, 2-y)
Combined, you have the transformation ...
(x, y) ⇒ (x +4, 2-(y +4)) = (x +4, -2-y)
Then, ...
K(-5, -5) ⇒ K'(-5 +4, -2-(-5)) = K'(-1, 3)
Answer:
a reflection across y-axis then translation of 1 unit right and 2 units up.
a clockwise rotation of 180° about the origin then a translation of 1 unit right and 3 units up
a reflection across y-axis then translation of 1 unit right and 1 unit down
a reflection across y = x then a positive rotation of 270° about the origin
Step-by-step explanation:
Answer:
1.29, 1.202, 1.02
Step-by-step explanation:
To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
Answer:
D
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)
r = 
= 
= 
= 
= 13 → D
