9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
_____
<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
Na bro i dont even know what’s that tbh
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices 
is given by the determinant of the following matrix:
In this question:
Vertices (3,0) (9,0) (7,6). So
The area of the triangle is of 21 units of area.
Answer:
12 correct answers
Step-by-step explanation:
Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a
Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:
Total score(main part)=8.3×a=8.3a points
She also solved a bonus question worth=11 points
Consider expression 1 below
The total score in the whole test=Total score in the main part+Bonus points, where;
Total score in the whole test=110.6 points
Total score in the main part=8.3a points
Bonus points=11 points
Substituting the values in expression 1:
8.3a+11=110.6
8.3a=110.6-11
8.3a/8.3=99.6/8.3
a=12
Number of correct answers in the main part=a=12
