We first start by finding the actual coordinates of the pre - image's point S.
Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:
The point's x coordiate is 4 to the left from the origin, or -4.
The point's y coordinate is 4 up from the origin, or 4.
So, the coordinates of Point S is (-4, 4).
Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:
(-4, 4) --> (-4, -4)
So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).
Answer:
1. option B is correct i.e., 
2. option D is correct i.e., 
.
3. option B is correct i.e., 
.
Step-by-step explanation:
1. Since the given equation is:
As we know that 
So, the given equation can be represented as:
2. Given equation is:
As we know that
so the given equation can be represented as:
.
3. Given equation is:
by using the properties ,
and 
= 
= 
= 
= 
= .
which is option B.
You would need to make them eliminate so I would multiply the entire first one by 2.5 to make the X's cancel out. So you would end up with -5X+7.5Y=17.5. The X's would cancel and you would be left with 15.5Y=15.5. So Y=1. Then replace Y into one of the equations. I'm going to use the top again. -2X+3(1)=7. Subtract 3 from both sides to get -2x=4. Divide both sides by negative 2 to get X=-2. So the solution would be (-2,1)
Answer:
The answer is D
Step-by-step explanation:
If you minus 8 for x on (2,3) and plus 2 to the y on (2,3) you get (-6,5).
28/x = 40/100
Cross multiply
40x = 28(100)
40x = 2800
Divide both sides by 40
x = 70 students
