The image of (2, -1) under the transformation t -5, 3 is (3, 2) (-3, 2) (-3, -2)

The image of point (2 , -1) is (-3 , 2)

Step-by-step explanation:

* Lets revise the translation

- The point (x , y) can translated horizontally or vertically

- If it's translate horizontally we add or subtract the x-coordinate

# (x - h , y), the point is translated h units to the right

# (x + h , y), the point is translated h units to the left

- If it's translated Vertically we add or subtract the y-coordinate

# (x , y + k), the point is translated k units up

# (x , y - k), the point is translated k units down

* Lets solve the problem

∵ The point (2 , -1)

∵ The transformation Is T (-5 , 3)

- T means translate

- (-5) means translate it to the left 5 units

- (3) means translate it 3 units up

∴ The image of (2 , -1 ) is (2 + -5 . -1 + 3) = (-3 , 2)

* The image of point (2 , -1) is (-3 , 2)

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.