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Leto [7]
2 years ago
11

If a line has a slope of 1/3 and passes through the point (1,-2) which ff points also lies on the line a) -2,-5 b) -2,1 c) 4,-1

d) 4,10
Mathematics
1 answer:
Igoryamba2 years ago
5 0

Answer: c

Step-by-step explanation:

The equation of the line is

y+2=\frac{1}{3}(x-1)\\\\y+2=\frac{1}{3}x-\frac{1}{3}\\\\y=\frac{1}{3}x-\frac{7}{3}

To determine which point lies on the line, we can substitute in the x coordinate and see if the equation gives the same y-coordinate.

  • If x = 2, then the equation of the line gives that y = -5/3.
  • If x = 4, then the equation of the line gives that y = -1.

Therefore, the answer is c.

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Which table corresponds with the function f(x) = x2 + 4?
DerKrebs [107]
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3 years ago
The highest point in the mountains of Seattle is 5,833 meters above sea level. The lowest point in the valley is 57 meters below
lana [24]

Answer: 5890 meters

Step-by-step explanation:

Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.

The lowest point in the valley is 57 meters below sea level.

in integers it is represented by -57 meters. [we use negative integer to represents "below"]

Difference between the highest and lowest point = Highest point - lowest point

=  5,833 meters -(-57) meters

= (5833 + 57) meters      [a-(-b)= a+b]

= 5890 meters

Hence, the required difference = 5890 meters

6 0
3 years ago
$7600 is invested for one year, part at 4% and the remainder at 5%. The income from the two investments is $338. Find the amount
wariber [46]
The amount invested at 4% is $4,200. This problem can be solved by using two linear equation with two different variables which represent the investment's partition and the investment's return. The first equation is x+y=$7,600 and the second equation is 0.04x + 0.05y=$338, then you must substitute the y variable in the second question with the first equation (0.04x + 0.05($7,600-x)=$338). Therefore, you will get a new equation to solve the problem which is 0.04x+380-0.05x=338 resulting x=$4,200.
8 0
3 years ago
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