Which expressions are equivalent to 5p+3p+(-9)5p+3p+(−9)5, p, plus, 3, p, plus, (, minus, 9, )? Choose all answers that apply:
2 answers:
Answer:
Option B.
Step-by-step explanation:
The given expression is
We need to find an expression which is equivalent to the given expression.
Combine like terms.
The simplified form of given expression is 8p-9. So, option A is incorrect.
In option B, the given expression
Using distributive property, we get
Combined liker terms.
It is same as the simplified form of given expression.
Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.
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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>