Answer:
B
Step-by-step explanation:
Answer:
Do you have answer choices
Step-by-step explanation:
Let Length of each Plan A workout be 
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$
Answer:
The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.
Step-by-step explanation:
In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.
A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.
Answer:
The solution is (-2, 5, 3)
Step-by-step explanation:
2x + 3y - 4z = -1
2(-2) + 3(5) - 4(3) = -1
-4 + 15 - 12 = -1
-16 + 15 = -1
-1 = -1
x - 2y + 5z = 3
-2 - 2(5) + 5(3) = 3
-2 - 10 + 15 = 3
- 12 + 15 = 3
3 = 3
-4x + y + z = 16
-4(-2) + 5 + 3 = 16
8 + 5 + 3 = 16
16 = 16
Therefore, (-2, 5, 3) is a solution.
2x + 3y - 4z = -1
2(-3.6) + 3(0.2) - 4(1.4) = -1
-7.2 + 0.6 - 5.6 = -1
-12.8 + 0.6 = -1
-12.2 = -1
x - 2y + 5z = 3
-3.6 - 2(0.2) + 5(1.4) = 3
-3.6 -0.4 + 7 = 3
-4 + 7 = 3
3 = 3
-4x + y + z = 16
-4(-3.6) + 0.2 + 1.4 = 16
14.4 + 0.2 + 1.4 = 16
16 = 16
(-3.6, 0.2, 1.4) is not a solution.
2x + 3y - 4z = -1
2(2) + 3(5) - 4(-3) = -1
4 + 15 + 12 = -1
31 = -1
x - 2y + 5z = 3
2 - 2(5) + 5(-3) = 3
2 - 10 - 15 = 3
2 - 15 = 3
13 = 3
-4x + y + z = 16
-4(2) + 5 + -3 = 16
-8 + 5 - 3 = 16
-11 + 5 = 16
-6 = 16
(2, 5, -3) is not a solution.
2x + 3y - 4z = -1
2(4) + 3(-7) - 4(-3) = -1
8 - 21 + 12 = -1
-21 + 20 = -1
-1 = -1
x - 2y + 5z = 3
4 - 2(-7) + 5(-3) = 3
4 + 14 - 15 = 3
18 - 15 = 3
3 = 3
-4x + y + z = 16
-4(4) - 7 - 3 = 16
-16 - 7 - 3 = 16
-26 = 16
(4, -7, -3) is not a solution.
