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:
57
Step-by-step explanation:

Your answer is 57.
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Answer:
500 flags each
Step-by-step explanation:
If 40 schools receive 250 each, then in total, that's 10,000
25,000 - 10,000 = 15,000. There are 30 schools remaining, so we divide. 15,000 / 30 = 500, so...
40 schools get 250 flags each, and the other 30 schools get 500 flags each.
It’s 4 because y is a variable plus any number in front of a variable makes it a coefficient
I used an online calculator
and got this when i simplified-
-1/2(2x-3)