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dem82 [27]
2 years ago
8

Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equat

ion for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
Mathematics
1 answer:
Semmy [17]2 years ago
4 0

The equation of <em>line m</em>, in point-slope form is: y + 3 = 4(x - 1)

<em><u>Recall:</u></em>

  • The slopes of parallel lines are equal to each other.
  • Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.
  • Point-slope form equation is: y - y_1 = m(x - x_1) where, (x_1, y_1) is a point and m is the slope.

Equation of line m is y = 4x + 2

Slope of line m is 4

Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.

To write the equation for line if it contains the point (1, -3), substitute (x_1, y_1) = (1, -3) and m = 4 into y - y_1 = m(x - x_1):

y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}

Therefore, the equation of <em>line n</em>, in point-slope form is: y + 3 = 4(x - 1)

Learn more about point-slope equation on:

brainly.com/question/24907633

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SpyIntel [72]

The temperature T in Kelvin (K) is equal to the temperature T in degrees Celsius (°C) plus 273.15:

T(K) = T(°C) + 273.15;

So, T(K) = -25 + 273.15;

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<h3>Answer:   x = 25</h3>

=======================================================

Explanation:

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x = (15+35)/2

x = (50)/2

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The two shapes have the same area. Work out the perimeter of the rectangle.
elena-14-01-66 [18.8K]
You need to do this in several steps.

1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.

1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x

2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x

3) Set the areas equal and solve for x

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Since a width cannot be 0, we discard x = 0, and keep x = 10.

4) The length is x + 2 = 10 + 2 = 12
The width is x = 10

The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44

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3 years ago
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