The preimage WXYZ is to undergo a rotation of 90° in the clockwise direction.
A 90° clockwise rotation leads to the following change in the coordinates;
(x,y) -> after rotation (y,-x)
this rule applies for all the vertices in the preimage
W - (3,-5) --> W' (-5,-3)
X - (1,-3) ---> X' (-3,-1)
Y - (-1,-5)---> Y' (-5,1)
Z - (1,-7) ---> Z' (-7,-1)
therefore the new coordinates are W' (-5,-3), X' (-3,-1), Y' (-5,1) and Z' (-7,-1)
Answer:
Square each side
Subtract 1 from each side
Divide by 3
Step-by-step explanation:
sqrt(3x+1) = 4
Square each side
(sqrt(3x+1))^2 = 4^2
3x+1 = 16
Subtract 1 from each side
3x+1-1 = 16-1
3x= 15
Divide by 3
3x/3 = 15/3
x = 5
There are 9 seniors.
Although there are several ways of solving this problem, I just did what was easiest for me in my head. I divided 36 by 4, which gave me 9.
Answer:
(You never showed the graphs we were suppose to choose from)
The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a.
Answer:
10 cm²
Step-by-step explanation:
The area of a square = s², where s is the measure of the side
To calculate the side use Pythagoras' identity
Consider the lower side with right triangle legs 3 and 1, then
side² = 3² + 1² = 9 + 1 = 10 ( take the square root of both sides )
side =
, thus
area = (
)² = 10 cm²