Alright, 1, 2, and 4 are correct but 3 is not.
The error you made could be hard to notice but it was made. So let's put the equation up, 6x-(2x-9)=-31. Your error occurred when you didn;t distribute the negative sign for (2x-9), if you woud have distributed it then the equation would then be simplified into 6x-2x+9=31. You then add like terms and get 4x+9=31, subtract 9 on both sides and you'll get 4x=22. Divide 4 on both sides to isolate the variable and you get x=5.5
The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.
<h3>What is the Pythagorean theorem?</h3>
It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.
By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.
H² = 20² - 10²
H²= 400 - 300
H² = 300
H = √300
H = 17.32 ft.
Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.
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Answer:
84.78 cubic feet it is the correct answer
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The domain and the range of an <em>exponential parent</em> function, that is, y = eˣ are equal to all <em>real</em> numbers and <em>non-negative</em> numbers, respectively. (Correct choice: C)
<h3>How to determine the domain and range of an exponential function</h3>
In this problem we should determine what an <em>exponential parent</em> function is. The most common <em>exponential</em> functions have the following form:
(1)
(1) is an <em>exponential parent</em> function for A = 1, B = 1 and C = 0.
All functions are relations with a domain and range, the domain is an <em>input</em> set related to the range, that is, an <em>output</em> set. In the case of an <em>exponential parent</em> function, the domain and the range of the expression are 
and y ≥ 0, respectively. (Correct choice: C)
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Answer:
13
Step-by-step explanation:
Let the number be x.
ATQ x+22=455/x. x^2+22x=455. x=-35 or 13. Since x is positive, x=13
