Answer:
The equation of the line L is 
Step-by-step explanation:
we know that
The line y=7
Is a horizontal line (parallel line to the x-axis)
The slope of a horizontal line is equal to zero
A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)
The slope of the line L is undefined
The line L passes through the point (2,-5)
therefore
The equation of the line L will be equal to the x-coordinate of the given point

Answer:
Increase
Step-by-step explanation:
The researcher records the following estimates: 450, 426, 310, 500, and 220.
The mean of these estimates is derived below.
Mean = (450+426+310+500+220)/5
=1906/5=381.2
If the researcher removes the estimate of 220.
The mean of the other numbers will be:
Mean =(450+426+310+500)/4
=1686/4=421.5
By comparison of the two mean, we can see that the value of the mean will increase.
<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.
Answer:
Step-by-step explanation:
1
Answer:
(k - 4) ÷ 9
(k - 4) / 9
Step-by-step explanation:
k decreased by 4 = k - 4
quotient of k decreased by 4 and 9
= (k - 4) ÷ 9 (using division sign)
Or
= (k - 4) / 9 (as a fraction)