Z is halfway between X and Y.
The distributive law of multiplication over addition says that if x, y and z are any numbers, then x(y+z) = xy + xz . It's true not only for integers, but also for real numbers or even complex numbers. Here's a proof / graphical explanation: __________ |*****|***| ^ |*****|***| | |*****|***| |x |*****|***| | |*****|***| v --------------- <--y--><-z-> Consider the ASCII rectangle above. It has height x and width y+z, therefore its area is x(y+z). Alternatively, it can be viewed as two smaller rectangles joined together. The one on the left has height x and width y, so its area is xy. Similarly, the one on the right has area xz. So the total area is xy + xz. Therefore x(y+z) = xy + xz.
xz + x + yz + y = (x + y)(z + 1)
Using the cosine rule the three angles are as follows:- x = 75.16700977 = 75o 10' 1.24'' y = 65.6309069 = 65o 37' 51.26'' z = 39.20208333 = 39o 12' 7.5''
Zw < xyyw + wz = yzwy + wz = xz
mid point of xy
between X and Y
8.3
There appear to be 10 terms in the determinant. A determinant can only have a perfect number of terms. So something has gone wrong with the question. 1: x2 plus 1 2: xy 3: xz 4: xy 5: y2 plus 1 6: yz 7: 1 plus x2 plus y2 plus z2 8: xz 9: yz 10: z2 plus 1
Z is halfway between X and Y.
The distributive property of multiplication deals with multiplying across a set of parenthesis. An example of this property would be, x(y+z) = xy + xz.
According to the laws of exponents, xy times xz = xy+z. Therefore, 27 x 22 = 2(7+2) = 29 = 512.
2z + 5 - xz
4
The distributive law of multiplication over addition says that if x, y and z are any numbers, then x(y+z) = xy + xz . It's true not only for integers, but also for real numbers or even complex numbers. Here's a proof / graphical explanation: __________ |*****|***| ^ |*****|***| | |*****|***| |x |*****|***| | |*****|***| v --------------- <--y--><-z-> Consider the ASCII rectangle above. It has height x and width y+z, therefore its area is x(y+z). Alternatively, it can be viewed as two smaller rectangles joined together. The one on the left has height x and width y, so its area is xy. Similarly, the one on the right has area xz. So the total area is xy + xz. Therefore x(y+z) = xy + xz.
xz + x + yz + y = (x + y)(z + 1)
2(xy+xz+yz)=100 xy+xz+yz=50 or x(y+z)+yz=50 x=2, y=4, z=7