Answer:
0.189
4.525
Step-by-step explanation:
v/1 + 2/v + 4v/3 = 11
we can eliminate denominators if we distribute 3v to each term:
3v(v/1 + 2/v + 4v/3) = 3v(11)
3v² + 6 + 4v² = 33v
7v² - 33v + 6 = 0
factor this trinomial:
there are no factors of 6 that would add to -33 so we can use the quadratic formula to solve: (-b ± √b²-4ac) / 2a
a = 7
b = -33
c = 6
[33 ± √(-33)² - 4(7)(6)] / 2(7)
(33 ± √1089 - 168) / 14
(33 ± √921) / 14
(33 ± 30.35) / 14
(33+30.35) / 14 = 4.525
(33-30.35) / 14 = 0.189
Answer:
(1). 15
Step-by-step explanation:
The time it takes to travel the whole path will be 20 times the time it takes to travel 1/20 of the path.
20 × (3/4) s = 60/4 s = 15 s
It will take 15 seconds to travel the entire path.
Answer:
The area of the counter that Carlos will wall tile is 
Step-by-step explanation:
to solve this, we will calculate the area of the counter and the area of the rectangular hole that Carlos would have to leave out for the sink, and then subtract them to get the area that will be tiled.
Total area of the rectangular counter = length X breadth = 
area of the rectangular cut out for the sink = length X breadth =
Surface area that Carlos is meant to tile = 
Hence,the area of the counter that Carlos will wall tile is
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
The solution to this system can be written in matrix form as:
Ax = b
Where, A is a matrix that is given by:
A = [5 3; -8 -3]
The determinant of this matrix 2 * 2 is given by:
lAl = (5) * (- 3) - (3) * (- 8)
lAl = -15 - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
Answer:
It is equal
Step-by-step explanation:
Because if you simplify 2/4 it will be 1/2 so 1/2 is just a simplified version of 2/4
