Answer:
From what I can comprehend I believe the answer is <em>3.2x + -4</em>
Step-by-step explanation:
0.4(2x-9) = 0.8x - 9
0.8x - 9 - 0.6(4x+5)=
0.8x - 9 + 2.4x+5
0.8+2.4 = 3.2x
-9 + 5 = -4
3.2x + -4
Answer:
180 degrees
Step-by-step explanation:
because 52 degrees + 104 degrees + 24 degrees = 180 degrees
Answer:
23 1/2 miles per gallon
Step-by-step explanation:
We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -
Miles
----------------------------- =
Each gallon of gas
329 ÷ 14 = 23 1/2 miles per gallon
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>
