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Lemur [1.5K]
2 years ago
9

A line that includes the point (-8,-3) has a slope of -1/9. What is it’s equation in point-slope form?

Mathematics
1 answer:
Zolol [24]2 years ago
4 0
  1. the  formula that represents the equation point- slope is the following y-y1 = m(x-x1) where the point is given (-8,-3) and the slope is -1/9
  2. then you  mus substitute the values in the equation y-(-3) = -1/9[(x-(-8)] , resolving it y+3= -1/9 ( x+8) ,  y+3 =  -1/9x+9/8,  y = -1/9x +9/8-3,  y = -1/9x-15/8

of this form the equation that represent  the form point-slope is

  1. y+3= -1/9 ( x+8)

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2 years ago
Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
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Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~\text{ TheAnimeGirl}

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3 years ago
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Answer:

  • <u>120</u>

Explanation:

Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.

  • The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
  • The side number two can be colored with four different colors: 4
  • The side number three can be colored with three different colors: 3
  • The side number four can be colored with two different colors: 2
  • The side number five can be colored with the only color left: 1
  • Each of the sides six through ten can be colored with one color, the same as its opposite side: 1

Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:

  • 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.

Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.

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Answer:

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Step-by-step explanation:

The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.

Evaluation is often easier when the function is written in Horner form.

  ((x +2)x -4)x +6

For x=-5, this is ...

  ((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49

Kayla is not correct; the remainder is -49.

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2 years ago
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