Answer:
On the first one, they took half of the original number then added it to the original to get the sides of the bigger shape.
Step-by-step explanation:
Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
![y = 3\sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%203%5Csqrt%5B3%5D%7Bx%7D)
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
![y = -3\sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20-3%5Csqrt%5B3%5D%7Bx%7D)
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
![y = -3\sqrt[3]{x} - 8](https://tex.z-dn.net/?f=y%20%3D%20-3%5Csqrt%5B3%5D%7Bx%7D%20-%208)
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
Answer:
A = 30 unit^2
Step-by-step explanation:
To find the area of the triangle
A = 1/2 b*h where b is the length of the base and h is the height
b = 12 and h =5
A = 1/2 (12*5)
A = 1/2 *60
A = 30 unit^2
14 dollars because it’s only 75 % out of. 8
<h3>
Answer: 90720 </h3>
===============================================
Explanation:
There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.
We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.
Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.
