The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:
x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
Answer:x=10/3
Step-by-step explanation:
Answer:
AC = 28
Step-by-step explanation:
Ok, we know that:
Points A, B, and C are collinear.
Point B is between A and C.
We want to find the length AC (distance between A and C), if we know that:
AB = 16
BC = 12
Ok, knowing that B is between the other points, we know that:
AB + BC
defines the total length of the segment that connects the 3 points.
Thus, if we define this segment as a length, we only use the endpoints, A and C.
Then we have that:
AB + BC = AC
now we can solve this:
16 + 12 = AC
28 = AC
Answer:
14
Step-by-step explanation:
assuming that the shirts in the question are the only shirts bought, 2+5 is 7, and the other half would also be 7, making it 14
Answer:
18
Step-by-step explanation:
- -3a²-b³+3c²-2b³
- -3(2)²-(-1)³+3(3)²-2(-1)³
- -3(4)-(-1)+3(9)-2(-1)
- -12+1+27+2
- -11+27+2
- 16+2
- 18