9 / 16 + 1/2 =?
Step 1. To add fractions, they must share the same denominator. Here the denominators are 16 and 2. Since 16 is 8 times 2, multiply 1/2 by 8 to match denominators.
(1 * 8) / (2 * 8) = 8 / 16
Step 2. Add the numerators over the common denominator.
9/16 + 8/16 = (9+8) / 16 = 17 / 16
Step 3. Reduce the fraction if possible.
17/16 is already in simplest form. Therefore, 9/16 + 1/2 = 17/16
Solution:
Reflect the parent function across the x-axis and then shift it 8 units left.
Step-by-step clarification:
The function in question is
The parent function can be described as
Due to the negative multiplier applied to the transformed function, a reflection occurs along the x-axis.
As the value 8 is added within the square root, it indicates a horizontal shift of 8 units left.
Therefore, to accurately graph the given function, reflect the parent function over the x-axis and translate it to the left by 8 units.
This is the correct format for the question. While hiking in the woods, Jason and Allison spot a rare owl in a tree. Jason measures an angle of elevation of 22° 8’ 6”, while Allison, standing 48 feet closer, measures an angle of elevation of 30° 40’ 30”. Assuming their heights are equal, with their eyes positioned 5 feet above the ground, calculate the owl's height in the tree.
9x² - 16 = (3x - 4)(3x + 4). A C. The product of a and c is 16(9x²), which equals 144x². The value of b is zero as there is no b term (b stands for x, which is not x², but simply x). Hope this information is useful.
IX - 4I ≤ 4
Step-by-step explanation:
The number line indicates that the possible values of x fall within the range:
0 ≤ x ≤ 8
We aim to create an absolute value equation to encompass this set of potential solutions.
An example of such an equation is:
IX - 4I ≤ 4
To form this, we find the midpoint M of our set, which is 4 in this case.
Then, we write:
Ix - MI ≤ IMI
It's important to note my use of the inclusive sign, as the filled dots indicate that the endpoints x = 0 and x = 8 are part of the solution, differing from empty dots which denote an open set requiring < > signs.
