We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).
We need to rotated 90° counterclockwise about the origin.
In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
A(2,2) --> A'(-2,2)
B(7,1) --> B'(-1,7)
C(8,-4) --> C'(4,8)
Answer:
y +2 = 4(x -3)
Step-by-step explanation:
Point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 4 and (h, k) = (3, -2), the equation is ...
y +2 = 4(x -3) . . . . . matches the first choice
Answer:
Rotation - Twists the shape
Reflection - Flips the shape
Translation - Slides a shape
Dilation - Enlarge or reduces a shape
Congruent - Same shape same size
Rigid Motion - type of transformation that creates congruent figures
Hope this helped. I apologize if any of them are wrong..
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
Answer:
3.14*6.5^2*16=
42.25*16=2122.64 or 2122.6
Step-by-step explanation:
