Answer:
a) 1. Equivalent expression
b) 3. (wx)yz
c) 2. wx(yz)
Step-by-step explanation:
1. According to the associative property, the result of the addition or the multiplication of three or more numbers are the same irrespective of the order of the grouping of the numbers.
(a + b) + c = a + (b + c)
That is the result of the equation is not affected by the rearrangement of the parenthesis to group the numbers
In the given question
w(xy)z = (wx)yz
w(xy)z = wx(yz).
I believe it is 65 but I am not completely sure.
Answer:
14
Step-by-step explanation:
You just multiply 2 to (x + 7) which gets you 2x + 14 and then subtract 2x from 2x seeing as they are like terms and you end up with 14.
Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0
Divide both sides by 2:
x^2 - 2 x - 3/2 = 0
Add 3/2 to both sides:
x^2 - 2 x = 3/2
Add 1 to both sides:
x^2 - 2 x + 1 = 5/2
Write the left hand side as a square:
(x - 1)^2 = 5/2
Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)
Answer:
<em>Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.</em>
Step-by-step explanation:
<u>Transformations</u>
The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.
There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.
Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.
Testing the rest of the points we get the same result, thus the transformations are:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.