Answer:
B: (x, y) --> (x + 4, y - 3)
Step-by-step explanation:
the shape DEF went to the right along the x axis wich <em>increased</em> x and then went down the y axis or <em>decreased </em>y to make D'E'F'
some good way to remember these translations and orders are...
- x is first when plotting points, then y (x, y)
- x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down
BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))
Answer:
The side length is 9m
Step-by-step explanation:
A = 81 m^2
Since the figure is a square, we know the area of a square is A = s^2 where s is the side length
81 m^2 = s^2
Take the square root of each side
sqrt(81 m^2 ) = sqrt( s^2)
9 m = s
The side length is 9m
Answer: A B
Group 1 0.25 0.75
Group 2 0.44 0.56
Step-by-step explanation:
Since we have given that
Number of people of A in group 1 = 15
Number of people of B in group 1 = 45
Total number of people in group 1 is given by

Relative frequency of people of A in Group 1 is given by

Relative frequency of people of B in Group 1 is given by

Similarly, Number of people of A in group 2 = 20
Number of people of B in group 2 = 25
Total number of people in group 2 is given by

Relative frequency of people of A in Group 2 is given by

Relative frequency of people of B in Group 2 is given by

Hence, A B
Group 1 0.25 0.75
Group 2 0.44 0.56
Answer:
x = 45/7
Step-by-step explanation:

Here, you can more easily see what the fractions look like.
In order to cross-multiply, you have to multiply 5 with 9, and 7 with x.
45 = 7x
Then, you isolate x by dividing 7 on both sides:
45/7 = x
Hope I helped :)
Answer:
15
Step-by-step explanation:
3x - 2y = ?
3(7) - 2(3) = ?
21 - 6 = ?
= 15
All you have to do is substitute the given values & follow the order of operations! Best of luck.