Well to do this you would have to find the LCM (least common multiple) of 4 and 3. so, if you line up all of the multiples of 4
4,8,12,16,20,24,28,32,36,40....
and the multiples of 3
3,6,9,12,15,18,21,24,27,30,33....
the least multiple that they both have is 12
The 2-point form of the equation of a line is
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3
Written as a function, it is
.. f(x) = (2/3)x +3
V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12
With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575
V=W*D*H
Depth: D
Height: H
with H>D
V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
3*5*7=D*H
D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15
Answer: Option <span>C. height: 21 in. depth: 5 in.
</span>
Please, see the attached file for another form to solve the problem
For this case, we have that by definition:
<em>The supplementary angles are those that in pair add up to 180 degrees.
</em>
On the other hand, a linear pair is a pair of adjacent angles formed when two lines intersect each other.
By definition, <em>the two angles of a linear pair are always supplementary, this means that their measurements add up to 180 degrees.
</em>
Answer:
The two angles of a linear pair are always supplementary
454 would be the number!
*Hope that helps and Enjoy Brainly :)