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rosijanka [135]
3 years ago
11

Which equation in point-slope form contains the point (–3, 5) and has slope –1? y + 3 = –1(x – 5) y – 5 = –1(x + 3) y – 3 = –1(x

+ 5) y + 5 = –1(x – 3)
Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Answer:

y - 5 = -1(x + 3)

Step-by-step explanation:

Point slope form

y - y1 = m(x - x1) where m = slope and passing through point (x1 , y1)

In this case if the equation in point-slope form contains the point (–3, 5) and has slope –1 then the equation should be:

y - 5 = -1(x - (-3))

y - 5 = -1(x + 3)

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2 years ago
If ∠G is supplementary to ∠H and the measure of ∠G is 65° what is the measure of ∠H?
Elina [12.6K]

Solution:

<u>Given:</u>

  • ∠G = 65°

Supplementary angles are a pair of angles that sum up to 180°.

<u>It should be noted:</u>

  • If ∠G and ∠H are a pair of supplementary angles, they both sum up to 180°.

Equation formed: ∠G + ∠H = 180

<u>Substitute the values into the equation.</u>

  • ∠G + ∠H = 180
  • => 65 + ∠H = 180

<u>Subtract 65 both sides.</u>

  • => 65 - 65 + ∠H = 180 - 65
  • => ∠H = 180 - 65 = 115°

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2 years ago
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7 0
2 years ago
What is the distance points for (2,-2) and (0,-9)
Ksivusya [100]

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

         Two points are (2,-2) and (0,-9)

Step:1

         By graphical method,

         For two points (2,-2) and  (0,-9)

                  First point (2,-2)

                             The values of x=2 and y=-9 noted in the graph

                  Second point (0,-9)

                              The values of x=0 and y=-9 noted in the graph

                  Now join the two points, measure the distance between the two points,

                   Distance between points are 7.3 units.

                                          ( OR )

Step:1

        By formula method,

              Distance =   \sqrt{(x_{2}- x_{2})  ^{2}+ (y_{2}-y_{1})  ^{2}  }

       Where,

               ( 2,-2) are (x_{1},y_{1})

               (0,-9) are (x_{2},y_{2})

       From the values,

                             = \sqrt{(0- 2)  ^{2}+ (-9+2)  ^{2}  }

                            =  \sqrt{(- 2)  ^{2}+ (-7)  ^{2}  }

                            = \sqrt{4+49  }

                            = \sqrt{53}

                            = 7.280

                            ≅ 7.3

            Distance = 7.3

Result:

           The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

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3 years ago
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goldenfox [79]

25 + 0.25x=45

0.25x=20

x= 20/0.25 = 80

 so 80 pounds of trash

3 0
3 years ago
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