The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>
<span>2x + y = 3
a: 5
x - 2y = -1
a: 2
If equation one is multiplied by 2 and then the equations are added, the result is _____.
3x = 2 this is the answer
3x = 5
5x = 5</span>
Answer:
His dog weighs 30.44lbs more than his cat.
Step-by-step explanation:
The question asks how much more his dog weighs, so we use subtraction to find the answer.
Answer:
75 kilometers.
Step-by-step explanation:
It is 75 because 0.5 goes into 12.5 25 times. 25 x 3 = 75.
That is why the answer is 75. Have a gr8 day (:
(Can I have brainliest?)
