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:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
<span>To draw two number lines showing that 0.200 and 1/5 are equivalent, we draw a number line divided into 5 equal segments with range from 0 to 1.0, the points on this line will be at 0.2,0.4,0.6,0.8 and 1.0. Next we draw second number line with range from 0 to 5/5 with 5 equal segments. The points on this line will be 1/5, 2/5,3/5,4/5 and 5/5. The equal segments will show that these values 0.200 and 1/5 are equivalent.</span>
Answer:
D) 24x + 52
Step-by-step explanation:
The perimeter of the purple rectangle is
P =2(l+w)
=2 (4x+5 + 2x+7)
Combine like terms
=2 (6x+12)
Distribute
= 12x +24
The perimeter of the white rectangle is
P =2(l+w)
P =2(3x+14 +3x)
Combine like terms
=2(6x+14)
Distribute
12x +28
Add the perimeters
12x +24 + 12x +28
24x +52
Answer:
A) s/3 +t
Step-by-step explanation:
To represent 1/3 of a number, we can simply divide this number by 3, meaning if s is the number, 1/3 of s would be s/3. Now to add t all we have to do is + t, making our answer s/3 + t
