What is the answer to -5x+7y=11 -5x+3y=19
2 answers:
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The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x .
A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0 .
in the question
Part(a)
the equation is y (2)x - 3
on comparing it with y = mx + c , we get c = -3 , which is not 0 .
So , it is not a proportional relationship .
Part(b)
the equation is y (-2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(c)
the equation is y (3/5)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(d)
the equation is y - (1/2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x , that are options (b) , (c) and (d) .
The given question is incomplete , the complete question is
Which of the following linear relationships is NOT also a proportional relationship?
(a) y = (2)x - 3
(b) y = (-2)x
(c) y = (3/5)x
(d) y = - (1/2)x
Learn more about Proportionality here
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Answer:
5. 88.0°
6. 13.0°
7. 52.4°
8. 117.8°
Step-by-step explanation:
For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...
A = arccos((b² +c² -a²)/(2bc))
When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.
Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.
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<em>Additional comment</em>
The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:
=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))
As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.
The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.
