Answer:
(x,y) → (x+1 , y+1)
Step-by-step explanation:
Based on the image provided we can assume that every square in the graph represents 1 space. That being said we can create the following rule for this transformation
(x,y) → (x+1 , y+1)
This rule basically states that every point on the original shape needs to be moved 1 space to the right and 1 space upward in order for the translation to be perfect and output the final image shown in the graph.
1/2 and -1/2
hope it helps, brianliest pls
Answer:
y=5x-2
Step-by-step explanation:
plug the numbers into y=mx+c where m is the gradient (or slope) and c is the y-intercept
Length = 13 = (x + 3)
Width = 14 = (x + 4)
x2 + 7x + 12 = area of the rectangle
can be factored into
(x + 3)(x + 4)
Let L = one of the factors (x + 3)
Let W = the other factor (x + 4)
If x = 10 then
(10 + 3) = 13 = L
(10 + 4) = 14 = W
Checking this can be checked a couple of ways
Plug x = 10 into the original equation
x2 + 7x + 12
102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area
Multiplty the factors
L x W = 13 x 14 = 182 = Area
I hope you find this useful if you have any questions please send me a message.
First get the tangent vectors by differentiating r1 and r2
Evaluate at t=0
Use identity for angle between 2 vectors:
Evaluate dot product and unit vectors:
Sub into identity and solve for theta:
Answer:
Angle of intersection is about 79 degrees.
