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ElenaW [278]
2 years ago
6

Warm-Up

Mathematics
1 answer:
Sveta_85 [38]2 years ago
4 0

Answer:

Graph # 3

Step-by-step explanation:

-2x + 5y > 15               Let x  = 0  solve for y

 -2(0) + 5y = 15             change the > to an =

     5y = 15

      y =3     Point (0, 5) is on the graph

 Graph # 3 is correct because the y-intercept  is 5  

    x          y

    0          3                    -2(0) + 5y = 15;     5y = 15

    5          5                  -2(5) + 5y = 15;    -10 + 5y = 15;  5y = 25; y = 5

    10         7                   -2(10) + 5y = 15; -20 + 5y = 15; 5y = 35; y = 7

   The graph > the line is dotted and you will shade above the line

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Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)
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Answer:

\boxed {\boxed {\sf (1.5 , 2.5)}}

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

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Substitute these values into the formula.

( \frac {5+ -2}{2}, \frac {4+1}{2})

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( \frac {3}{2}, \frac{5}{2})

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(1.5, 2.5)

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