For this case we have the following function:
f (x) = x ^ 5
We apply the following transformations:
reflect over the y axis:
f (x) = (- x) ^ 5
shift 1 unit left:
f (x) = (- x + 1) ^ 5
vertically compress by 1/3:
f (x) = (1/3) (- x + 1) ^ 5
Answer:
A function that results after applying the sequence of transformations is:
f (x) = (1/3) (- x + 1) ^ 5
Answer:
Step-by-step explanation:
The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!
<u>Center of the circle:</u>
- The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).
Using the midpoint formula we'll get:
This is the center coordinate of our circle.
<u>Radius: </u>
The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)
We can use the distance formula:
<u>Equation of the circle: </u>
The equation is written as:
here, (a,b) are the center points of the circle
in our case this is 
and r = 1
This is the equation of the circle!
1. 3x - 2y = 8 Subtract 3x on both sides
-2y = 8 - 3x Divide by -2 on both sides to get y by itself
y = -4 + 3/2x
2. a + b / 3 = 5 Multiply 3 on both sides
a + b = 15 Subtract a on both sides to get b by itself
b = 15 - a
3. 12x - 4y = 20 Subtract -12x on both sides
-4y = 20 - 12x Divide -4 on both sides to get y by itself
y = -5 + 3x
4. y + 3 = -5(x - 2) Multiply -5 to (x-2)
y + 3 = -5x + 10 Subtract 3 on both sides to get y by itself
y = -5x + 7
Answer:
hello! although i am not really knowlegeble about this subject, i hope the lengths below can help you solve the problem :)
Step-by-step explanation:
side length: 62.03inches
perimeter: 168.06
area:1276
if this does help you, a brainliest would be appreciated!
You have to move both decimals over and then divide. So the answer is 25.
