Someone please help me answer this!!
1 answer:
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<h3>Answer:</h3>
(x, y) = (7, -5)
<h3>Step-by-step explanation:</h3>It generally works well to follow directions.
The matrix of coefficients is ...
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
Answer:
b = 9.1units
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of triangle
WX/XZ = WY/WX
Substitute;
b/a+5 = 6/b
b² = 6(a+5) ... 1
Also according to pythagoras theorem on triangle WYX;
b² = 6²+a²...2
Equate 1 and 2
6(a+5) = 6²+a²
6a+30 = 36 + a²
a²-6a+36-30 = 0
a²-6a+6 = 0
a = 6±√36+4(6)/2
a = 6±√60/2
a = 6±7.745/2
a = 13.745/2
a = 6.8725
Recall that
b² = 6²+a²
b² = 36+6.8725²
b² = 83.2313
b = 9.12units
b = 9.1units
