Answer:
(x, y) ⇒ (-x, -y)
Step-by-step explanation:
There are a couple of ways you can go at this.
1) Rotation by 180° in either direction is the same as reflection across the origin. That reflection is identical to reflection across both the x- and y-axes, in either order, so negates both coordinates. The transformation rule is ...
(x, y) ⇒ (-x, -y)
__
2) The rule for a general rotation by angle α is ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
For α = 180°, sin(α) = 0 and cos(α) = -1. This makes the rule for rotation by 180° be ...
(x, y) ⇒ (-x, -y)
Answer:
The slope of f(x) is 1.5
Step-by-step explanation:
step 1
Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1
so
we have the points
(2/3,0) and (0,-1)
The formula to calculate the slope between two points is equal to

substitute the values



step 2
Find the slope of the function graphed
take the points
(0,-1) and (3,6) approximately
substitute in the formula


step 3
we know that
f(x) represents the function with the smaller slope
The smaller slope is 1.5
therefore
The slope of f(x) is 1.5
Answer:
1.1000
2.3/4
3.f(x)=1000(1/4)^X
Step-by-step explanation:
Answer:

Step-by-step explanation:
The hypotenuses are equal in length of both triangles.





Answer:
12/46
Step-by-step explanation: