maiahfogel1351
01.07.2019 •
Mathematics
The coordinates below represent two linear equations. how many solutions does this system of equations have? line 1 x y –3 6 3 4 line 2 x y –6 7 9 2 a. 0 b. exactly 1 c. exactly 2 d. infinitely many
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Ответ:
Answer
A. Many solution
Step by step explanation
Points on line 1 : (-3, 6) and (3, 4)
Points on line 2: (-6, 7) and (9, 2)
Now let's find the slope of the line 1
Slope formula =
Slope of line 1 = (4 - 6) / (3 - (-3)
= -2/(3 + 3)
= -2/6
Slope of line 1 = -1/3
The equation of the line y - y 1 = m(x - x1)
y - 6 = -1/3 (x - (-3))
y -6 = -1/3 (x + 3)
y -6 = -1/3x - 1
y = -1/3x + 5
Slope of line 2 = (2 - 7) / (9 -(-6))
= -5/(9 + 6)
= -5/15
Slope of line 2 = -1/3
The equation of line
y - y1 = m(x - x1)
y - 7 = -1/3(x - (-6))
y - 7 = -1/3(x + 6)
y -7 = -1/3 x - 2
y = -1/3 x + 5
The line 1 and line 2 have the same slopes and the same y-intercept. Both are the same equation. Therefore, there will be many solution.
Answer : A. 0 Solution
Thank you.
Ответ:
5 is the greatest and -15 is the least.
Step-by-step explanation:
The expression "give or take" means to add or to subtract on both sides. Since the estimated forecast is -5 degrees celcius. We can add 10 and subtract 10 to find the least and greatest possible temperature. -5-10=-15. -15 degrees celcius is the least possible temperature. -5+10=5. 5 degrees celcius is the greatest possible temperature.
Hope this helps!