The square root of 2 is 1.4142 but eoindee it is just 1.4
Answer:
J(0,6)
K(-1,3)
L(-3,4)
Step-by-step explanation:
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Step-by-step explanation:
left to right.
the smallest numbers are on the left, the largest in the right.
all the numbers in the line are sorted.
so, going from left to right the numbers get continuously larger (no exception), and when going from right to left, they get continuously smaller.
remember that the negative numbers are smaller than the positive numbers. so, the negative numbers (if there are any in your case) are on the left side.
and negative numbers get smaller by "seemingly increasing" : -1 is larger than -2 and so on.
so, the range of the negative numbers starts on the left side with the "largest" negative number (but when you think about it, it IS the smallest number) and their absolute value gets smaller until they reach 0, and then the positive numbers start from small to large.
this also asked to fractions and mixed fraction numbers :
e.g. -2 1/2 is smaller than -2 and larger than -3.
because it is -2 + -1/2 = -2 - 1/2 = -2 1/2.
in that sense it is the same principle as with positive numbers :
2 1/2 = 2 + 1/2
-2 1/2 = -2 - 1/2