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Law Incorporation [45]
3 years ago
6

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(2, 4) and

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

  y = -x +6

Step-by-step explanation:

The 2-point form of the equation for a line through points (x1, y1) and (x2, y2) is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For your given points, this is ...

  y = (1-4)/(5-2)(x -2) +4 . . . . with given points filled in

  y = -1(x -2) +4 . . . . . . . . . . . simplify a bit

  y = -x + 6 . . . . . . . . . . . . . . simplify to slope-intercept form

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What is an equation of the line that passes through the point
grin007 [14]

Answer:

y = 5x + 8

Step-by-step explanation:

If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.

5x - y = 4 and solving for y:

-y = -5x + 4 and solving for positive y:

y = 5x - 4

So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:

y - (-2) = 5(x - (-2)) and

y + 2 = 5(x + 2) and

y + 2 = 5x + 10 so

y = 5x + 8

8 0
3 years ago
Which would be the better value?<br> A) 12 pens for $2.70<br> B) 16 pens for $3.40
gregori [183]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
A car manufacturer builds trucks and cars both in red, blue, and green colors. Let B represent the set of all red vehicles produ
telo118 [61]

Answer:

Step-by-step explanation:

The universal set, U is a set of all vehicles produced by the manufacturer.

U = red, blue and green vehicles(both cars and trucks)

B = all red vehicles produced by the manufacturer(both cars and trucks)

C = red, blue and green trucks

C ' = all elements that are not in C but are in the universal set

C ' = red, blue and green cars

B intersection C ' = all elements that are common to set B and set C '. Therefore,

B intersection C ' = red cars

5 0
3 years ago
The width of a rectangle is 32 inches. The width of the rectangle decreased by 8 inches and its length also changed. The area of
tekilochka [14]

Answer:

60 in

Step-by-step explanation:

Area = length x width

Area is constant at 1440 in^2

For first rectangle: W1 and L1

For second rectangle: W2 and L2

W1 = 32 in

W2 = W1 - 8 in = 24 in

1440 in^2 = L1 x 32 in = L2 x 24 in

L1 = 45 in

L2 = 60 in

4 0
3 years ago
Explain how adding three digit numbers is different than adding two digit numbers<br>​
Ede4ka [16]

if you had two,two digit number it can no result in a 4 digit number

5 0
3 years ago
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