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enyata [817]
3 years ago
8

Find the equation of the line with slope = 6 and passing through (6,43). Write your equation in the form y = m x + b . Please I

need help right now!
Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

6x - y + 7 = 0

Step-by-step explanation:

To find the equation of line passing through a point and slope of same line is given, we use formula,

y - y₁ = m ( x ₋ x₁)

where, (x₁, y₁) = (6, 43)

and m is a slope of line passing through (x₁, y₁) which is equal to 6.

Substituting all values in above formula. We  get,

⇒ y - 43 = 6 ( x ₋ 6)

⇒ y - 43 = 6x - 36

⇒ 6x - y + 7 = 0

which is required equation.

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The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than th
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Answer:

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W)............... Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W............ Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W............. Equation 3

Given: P = 174 ft.

Substitute into equation 3

174 = 90+4W

4W = 174-90

4W = 84

W = 84/4

W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

Hence the dimensions of the playing field is 21 ft by 66 ft

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MakcuM [25]
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7x+13=48
Subtract 13 from both sides

7x= 35

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