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Tcecarenko [31]
3 years ago
9

PLEASE ANSWER THIS

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0
B) If the line is parallel, that means the slope is the same.
    The slope for the original line is \frac{-1-0}{6-2} = \frac{-1}{4}.
    The second form of coral line would be y = -1/4x + (any number). You could          use y = -1/4x + 3.

c) Solve 12x = 24 + 3y for y.
    3y = 12x - 24
    y = 4x - 8
    Perpendicular lines have negative reciprocal slopes... the negative reciprocal      for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
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the ratio of boys to girls in janices classroom is 3:5, and there are a total of 32 students in the class, help plss​
svetoff [14.1K]

9514 1404 393

Answer:

  • 12 boys
  • 20 girls

Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

There are 12 boys and 20 girls in Janice's classroom.

_____

<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

5 0
2 years ago
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
BARSIC [14]

Answer:

81.64

Step-by-step explanation:

4 0
3 years ago
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Please HJelp QUICKLY
torisob [31]
<span>Along the x axis:
5 - 3 = 2 blocks

</span>Along the y axis:
8 - 1 = 7 blocks

Total:
2 + 7 = 9 blocks

7 0
3 years ago
Using the graphs, find the equation of each of the following lines:
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Dad gave Tyler and Emily the same amount of pocket money Emily bought a t shirt for $41 and she had $6 left how much money did d
Lady_Fox [76]

Answer:

Dad gave Tyler $47.

Step-by-step explanation:

You add the money that Emily had left and the cost of the t-shirt.

41+6= 17

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3 years ago
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