Simple....
you have:
3x-9=7x+12
To even solve this....isolate the variable your are trying to solve for....
3x-9=7x+12
-3x -3x
-9=4x+12
-9=4x+12
-12 -12
-21=4x
Simplify.....


Thus, your answer.
Question 1: The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
To solve this question, first note that the sum of these numbers is -5*10 = -50. If the average of 11 numbers is -6, we must have that they add up to -6*11=-66. Therefore, the new number is -66-(-50) = -66+50 = -16.
Question 2: It is hard to explain why, but just know that the answer is No Solution. I think you must have made a typo, like maybe the product is -24?
1. To solve this exercise, you must use the "Intersecting chords theorem".
2. You have that:
AP=3.5 in
PC=6 in
DP=4 in
3. Then, by applying the "Intersecting chord theorem", you have:
(AP)(PC)=(BP)(DP)
4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:
(3.5 in)(6 in)/BP(4 in)
5. Now, you must clear BP. Then:
(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP
6. Therefore, the value of BP is:
BP=5.25 in
The proportionality constant of the given graph is k = 16.
<h3>How to find the proportionality constant of a graph?</h3>
The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.
Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn
<h3>Calculation:</h3>
The given graph has the coordinates as
x = 0; y = 0 i.e., (0, 0)
x = 0.5; y = 8 i.e., (0.5, 8)
x = 1; y = 16 i.e., (1, 16)
x = 1.5; y = 24 i.e., (1.5, 24)
and so on.
Then, the ratio of y - coordinate to the x - coordinate is
k = 8/0.5 = 16
or
k = 16/1 = 16
or
k = 24/1.5 = 16
and so on.
So, the proportionality constant for the given graph is k = 16.
Learn more about the proportionality constant here:
brainly.com/question/1835116
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Answer:
The area of the trapezium is 18 ft²
Step-by-step explanation:
Given;
Two parallel sides of the polygon as follows;
The first parallel side = 1 ft + 4 ft = 5 ft
The second parallel side = 4 ft
If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.
The area of a trapezium is calculated as;

Therefore, the area of the trapezium is 18 ft²