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natta225 [31]
3 years ago
14

What is an equation of the line that passes through the points (-5, 6) and (7, 6)?

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

y = 6

Step-by-step explanation:

line of an equation: y = mx +c

where c is y-intercept, m is gradient and y and x are the y and x coordinates.

For finding the line of an equation we first find a gradient

gradient = (y2 -y1) / (x2 - x1)

so; (6-6) / (7-(-5)) = 0/12 = 0

next using any pair of coordinates we will find the c (y-intercept)

6= 0 (-5) + c

c = 6

so the equation will be

y = mx + c

(add the values you just found)

y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)

y = 6

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A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

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Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

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        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

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Step-by-step explanation:

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