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sergij07 [2.7K]
2 years ago
14

The given line segment has a midpoint at (3, 1).

Mathematics
1 answer:
natulia [17]2 years ago
8 0

An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of the line that passes through  (2, 4), (3, 1), and (4,-2), are,

m = (4-1)/(2-3) = 3/-1 = -3

Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,

m₁m₂ = -1

(-3) m₂ = -1

m₂ = 1/3

Since the line is the perpendicular bisector it will pass through midpoint,

1 = (1/3)(3) + C

1 = 1 + C

C = 0

Hence, the equation of the perpendicular bisector is y=(1/3)x.

Learn more about Equation:

brainly.com/question/2263981

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Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe
djyliett [7]

Answer: 231

<u>Explanation:</u>

Liwen    Celina

   5x          6x

5x - 21 = (\frac{2}{3})6x

5x - 21 = 4x

<u>-4x +21</u>   <u>-4x +21 </u>

  x        =        21


Liwen: 5x   = 5(21)   = 105

Celina: 6x   = 6(21)   =<u> 126</u>

                       Total:   231                    

6 0
3 years ago
10 ways to divide 96 into equal groups
Andrew [12]

These are the ten ways to divide 96 into equal groups:

96 divided by 2 = 2 groups of 48


96 divided by 48 = 48 groups of 2


96 divided by 12 = 12 groups of 8


96 divided by 8 = 8 groups of 12


96 divided by 32 = 32 groups of 3


96 divided by 3 = 3 groups of 32


96 divided by 24 = 24 groups of 4


96 divided by 4 = 4 groups of 24


96 divided by 6 = 6 groups of 16


<span>96 divided by 16 = 16 groups of 6</span>

4 0
3 years ago
5g +4= -6<br> What is the answer
Tems11 [23]
The answer it -2
:::::::::::::::::::::::::::::::::::
6 0
3 years ago
Read 2 more answers
Ronnie’s Rentals charges $25 plus $15 per to rent a chain saw for 5 hours. Write an expression to show how you could calculate t
iragen [17]

Answer:

The expression of total amount David paid is

y=25+ 15x

where y represents total amount in dollar, x is time in hour.

The total amount that David paid is $100.

Step-by-step explanation:

Given that,

Ronnie's Rentals charges $25 plus $15 per hour to rent a chain for 5 years.

Let

Ronnie's rents a chain for x hours.

Given that,

Rental charge of a chain for 1 hour is $15

Rental charge of a chain for 2 hour is $(15+15) = $30 = $(2×15)

Rental charge of a chain for 3 hour is $(15+15+15) = $45 = $(3×15)

From the above we conclude that,

∴Rental charge = Time ×$15

Rental charge of a chain for x hour is = $(x.15)=$15x

The expression of total amount David paid is

y=25+ 15x

where y represents total amount in dollar, x is time in hour.

Now plugging x= 5 in the above expression

y= 25 + (15×5)

  =$100

The total amount that David paid is $100.

5 0
3 years ago
write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2).
DedPeter [7]
Y - y1 = m(x-x1)
y - 2 = -3(x - 1)
6 0
3 years ago
Read 2 more answers
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