<h2>
[A] Plane S contains points B and E.</h2>
False
As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.
<h2>
[B] The line containing points A and B lies entirely in plane T.</h2>
True
As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.
<h2>
[C] Line v intersects lines x and y at the same point.</h2>
False
As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.
<h2>
[D] Line z intersects plane S at point C.</h2>
True
As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.
<h2>
[E] Planes R and T intersect at line y.</h2>
True
As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.
Here:
=(2x+3)(x-6)
=2x²-12x+3x-18
=2x²-9x-18
So the answer is (2x+3)(x-6)
Sarah’s monthly salary would be $3,080.
Answer:
(f+g) (x) =0 for x=-2
Step-by-step explanation:
f(x) = x^2 – 2x, g(x) = 6x + 4,
(f+g) (x) =f(x) +g(x) =
(x^2 – 2x) + (6x + 4) =
x^2 – 2x+ 6x + 4=
x^2 +4x+4
(f+g)(x) =x^2 +4x+4=0 (quvadratic equation)
x^2 +4x+4=x^2 +2x*2+2^2=(x+2)^2
then
(x+2)^2 =0
x+2=0
x=-2
(f+g) (x) =0 for x=-2