Answer:
2:14, 1:7, 3:21, and 18:126
Step-by-step explanation:
They are all multiplying by 7.
2*7= 14
1*7= 7
3*7= 21
18*7= 126
Hope this helps! :)
Answer:
Vector u has u_x = (5 - 15) = -10, and u_y = -4 - 22 = -26, and its component form would be u = -10i - 26j.
If vector v is in the opposite direction: 10i + 26j
And if it is double in magnitude: v = 20i + 52j
Hope this helps you! Ask me anything if yu have any quistions!
Answer:
Step-by-step explanation:
Suppose the radius is 1. The parametric equations for the circle are
x = cosθ
y = sinθ
x:y = 3:1
tanθ = ⅓
cosθ = 3/√(1²+3²) = 3/√10
sinθ = 1/√10
The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).
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)