Volume equals width times height times length
Answer:
x-int (2, 0)
y-int (0, 3)
General Formulas and Concepts:
- The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
- The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.
Step-by-step explanation:
<u>Step 1: Locate x-intercept</u>
x-int (2, 0)
<u>Step 2: Locate y-intercept</u>
y-int (0, 3)
Answer:
A. 4 inches
Step-by-step explanation:
Applying,
P = 2(L+W)............. Equation 1
Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.
make W the subject of the equation
W = (P/2)-L............ Equation 2
From the question,
Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches
Substitute these values into equation 2
W = (32/2)-12
W = 16-12
W = 4 inches.
Hence the right option is A.
Do you have options to choose from?
Prime factorization involves rewriting numbers as products
The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
<h3>How to determine the HCF</h3>
The numbers are given as: 1848, 132 and 462
Using prime factorization, the numbers can be rewritten as:
![1848 = 2^3 * 3 * 7 * 11](https://tex.z-dn.net/?f=1848%20%3D%202%5E3%20%2A%203%20%2A%207%20%2A%2011)
![132 = 2^2 * 3 * 11](https://tex.z-dn.net/?f=132%20%3D%20%202%5E2%20%2A%203%20%2A%2011)
![462 = 2 * 3 * 7 * 11](https://tex.z-dn.net/?f=462%20%3D%202%20%2A%203%20%2A%207%20%2A%2011)
The HCF is the product of the highest factors
So, the HCF is:
![HCF = 2 * 3 * 11](https://tex.z-dn.net/?f=HCF%20%3D%202%20%2A%203%20%2A%2011)
![HCF = 66](https://tex.z-dn.net/?f=HCF%20%3D%2066)
<h3>How to determine the LCM</h3>
In (a), we have:
![1848 = 2^3 * 3 * 7 * 11](https://tex.z-dn.net/?f=1848%20%3D%202%5E3%20%2A%203%20%2A%207%20%2A%2011)
![132 = 2^2 * 3 * 11](https://tex.z-dn.net/?f=132%20%3D%20%202%5E2%20%2A%203%20%2A%2011)
![462 = 2 * 3 * 7 * 11](https://tex.z-dn.net/?f=462%20%3D%202%20%2A%203%20%2A%207%20%2A%2011)
So, the LCM is:
![LCM = 2^3 * 3 * 7 * 11](https://tex.z-dn.net/?f=LCM%20%3D%202%5E3%20%2A%203%20%2A%207%20%2A%2011)
![LCM = 1848](https://tex.z-dn.net/?f=LCM%20%20%3D%201848)
Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
Read more about prime factorization at:
brainly.com/question/9523814