Answer:
The answer to the equation from question 7 is 14.
Step-by-step explanation:
In question 7, we are given an equation.
2³ + (8 - 5)² - 3
First, subtract 5 from 8 in the parentheses.
2³ + 3² - 3
Next, solve the exponents for 2³ and 3².
8 + 9 - 3
Add 8 to 9.
17 - 3
Subtract 3 from 17.
14
So, the answer to this equation from question 7 is 14.
Answer:
When f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
Step-by-step explanation:
- We know that when we add a number 'a' to the input of the function, it would move the parent function 'a' units to the left.
In other words, the rule is:
- f(x + a) will shift the parent function 'a units' to the left.
Given the function

Thus, when f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
- The effect on the graph of the linear parent function is shown in the attached diagram.
In the graph, the red line is representing the parent function f(x) and the blue line is representing the effect on the graph i.e. f(x+5).
Answer: Approximately 8.49 feet
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Explanation:
Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.
Refer to the diagram below.
We'll use the sine rule to find x
sin(angle) = opposite/hypotenuse
sin(45) = x/12
12*sin(45) = x
x = 12*sin(45)
x = 8.48528137423857
x = 8.49
This value is approximate.
Make sure your calculator is in degree mode.
I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.