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:
The answer is : x = 9.505 and x = -1.005
Step-by-step explanation:
To solve the quadratic equation use the formula :
Where a is the coefficient of x² , b is the coefficient of x and c is the numerical term
∵ a = 18 , b = -153 and c = -172
∴ 
∴ x = 9.505 and x = -1.005
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Answer:
13
Step-by-step explanation:
7 more waiters than cooks
w = 7 + c
w = 7 + 6
w = 13
-x^3 I think is the answer
