The area of a rectangle is the result of multiplying its length times its width. So the rectangles length and width are factor pairs of the area.
The number 36 has four non-equal, whole number factor pairs: (1,36) ; (2,18) ; (3,13) ; (4,9)
*note : (6,6) makes a square not rectangle
The number 15 has only two whole number factor pairs (1,15) and (3,5)
Answer:
2.71828
Step-by-step explanation:
took the quiz and got it right
ANSWER
See attachment.
EXPLANATION
The given function is
![y = \sqrt[3]{x + 1} - 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20%20-%202)
The parent function is
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.
The graph of this function is shown in the attachment.
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
x = ± 12
Step-by-step explanation:
Given
f(x) = x² - 144
To find the roots set f(x) = 0, that is
x² - 144 = 0 ( add 144 to both sides )
x² = 144 ( take the square root of both sides )
x = ± 
= ± 12
