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In the xy-plane, the point (c, c) lies on the graph of the e
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06 Nov 2019, 09:31
06 Nov 2019, 09:31
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In the xy-plane, the point (c, c) lies on the graph of the equation 0.3x + 0.3y = 12
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The value of c |
20 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: In the xy-plane, the point (c, c) lies on the graph of the e
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11 Nov 2019, 05:56
11 Nov 2019, 05:56
Expert Reply
the sum of x+y = 40
So x and y must be 20 each because the equation for a 90 angle degree.
Regards
So x and y must be 20 each because the equation for a 90 angle degree.
Regards
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the xy-plane, the point (c, c) lies on the graph of the e
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12 Nov 2019, 08:27
12 Nov 2019, 08:27
4
KEY CONCEPT: If the point (j, k) lies ON the graph of an equation, then x = j and y = k MUST satisfy the equation.
So, since (c, c) lies on the graph of the equation 0.3x + 0.3y = 12, we know that x = c and y = c MUST satisfy the equation 0.3x + 0.3y = 12
Replace x and y with c to get: 0.3c + 0.3c = 12
Simplify to get: 0.6c = 12
Divide both sides by 0.6 to get: c = 12/0.6 = 20
So, we have:
QUANTITY A: 20
QUANTITY B: 20
Answer: C
Cheers,
Brent
So, since (c, c) lies on the graph of the equation 0.3x + 0.3y = 12, we know that x = c and y = c MUST satisfy the equation 0.3x + 0.3y = 12
Replace x and y with c to get: 0.3c + 0.3c = 12
Simplify to get: 0.6c = 12
Divide both sides by 0.6 to get: c = 12/0.6 = 20
So, we have:
QUANTITY A: 20
QUANTITY B: 20
Answer: C
Cheers,
Brent
