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Nostrana [21]
3 years ago
6

In the graph below, line k with equation y = -k makes a 45° angle with the x- and y- axes.

Mathematics
2 answers:
noname [10]3 years ago
7 0

Answer:

Given Equation of line is, y= -k, passing through Origin and making an angle of 45° with the positive direction of x axis is given by

 k=tan 45°

k=1

So, the equation of line will be→y= -x.

Point (2,5) is reflected through x axis.So, Coordinates of point after reflection will be (-2,5).

→Now, the point is reflected through line, y=-x.So, This reflection rule says

(x,y)→(-y,-x).

→Now, when point (-2,5) is reflected through line, y=-x the coordinates of point after reflection will be

  = (-5, 2)

Option B

tamaranim1 [39]3 years ago
5 0

Answer:

D. (-5,2)

Step-by-step explanation:

1st reflection = reflection across the line k with the rule:

(x,y)→(-y,-x)

So,

(2,5)→(-5,-2)

2nd reflection = reflection across the x-axis with the rule

(x,y)→(x,-y)

So,

(-5,-2)→(-5,2)

After two consecutive reflections

(2,5)→(5,2)

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=
ivann1987 [24]

9514 1404 393

Answer:

  • large: 55 lb
  • small: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

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