Answer:
Minimum value occurs at (x, y) = (-5,0)
Step-by-step explanation:
Given: 3x + y =15
Rewriting this equation to Slope - Intercept form, we get:
y = -3x + 15
Squaring both sides,


Substituting in
we get:

= 
Comparing this equation with
we get
and
.
The minimum value occurs at the axis of symmetry given by
.
Therefore, x = - 

If x = 5, y = -3(5) + 15 = 0
Thus, the point becomes (5,0) where it is minimum.
Answer: A ; 120in3 sowwy if im wrong
Step-by-step explanation:
Formula= L times W times H
4 times 6 times 5
6 times 5 = 30
30 times 4 = 120
120 is the answer
Answer: N is the transversal.
Step-by-step explanation:
its the transversal because lines L and M are parallel to each other and line N intersects them both which means line N is the transversal. a transversal line means that it is a line that crosses two or more lines on a plane is a transversal. a transversal intersecting two parallel lines creates two different types of angled pairs.
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2
<span>r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared </span>
<span>r = 12 " </span>
<span>area = 4 X pi X 12 X 12 = 576 pi" squared </span>
<span>ANSWER Area will be 4 times the original</span>
Answer: 17
EXPLANATION: Today vice presidents serve as principal advisors to the president, but from 1789 until the 1950s their primary duty was to preside over the Senate. Since the 1830s, vice presidents have occupied offices near the Senate Chamber. Over the course of the nation’s history, the vice president’s influence evolved as vice presidents and senators experimented with, and at times vigorously debated, the role to be played by this constitutional officer.