Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. For example, different shapes like square, rectangle, circle are symmetric along their respective lines of symmetry.
Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r = 
+ t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x = 
+ at
y = 
+ bt
z = 
+ ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Answer:
23/35
Step-by-step explanation:
Probability ratio will be expresses with denominators of 12+7+16=35
Probability of selecting carmel is 12/35
Probability of selecting mints is 7/35=1/5
Probability of selecting chocolates is 16/35
Probability of not selecting a carmel will be given by 1-probability of selecting a carmel since maximum probability is always 1 or 100%
Probability of not selecting a camel will be 1-12/35=35/35-12/35=23/35
Alternatively, the probability of not selecting a carmel is equivalent to the sum of probability of either selecting a dark chocolate or mint which will be 7/35+16/35=23/35
The answers are the same, 23/35
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It’s 57.66. 50.54+3.8+3.32
