Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
The answer is: reduction
Explanation: since there are prime number markings on the smaller shape, that is the second version. In other words, the bigger shape was the original because there are no prime markings (‘) on it and to turn into the smaller shape, it had to shrink (reduce)
2 hours is 120 minutes
120 min * 2/3 is 80 minutes
Answer:
b
Step-by-step explanation:
735\
Answer:
<h2>The diagonal of the volumetric figure is 7 units long.</h2>
Step-by-step explanation:
The figure is attached.
Notice that the dimensions of the prism are
First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.
Let's use the Pythagorean's Theorem
This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.
Let's use again Pythagorean's Theorem
Therefore, the diagonal of the volumetric figure is 7 units long.
