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mr Goodwill [35]
10 months ago
7

Find the coordinates of the midpoint of a segment with the given endpoints. A(-12,2), C(-3,5)

Mathematics
1 answer:
DIA [1.3K]10 months ago
4 0

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

<h3>What is the mid-point of the line segment?</h3>

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

More about the mid-point of the line segment link is given below.

brainly.com/question/17188072

#SPJ4

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How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest
Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

I=\frac{P\times r\times t}{100}

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

I=\frac{P\times r\times t}{100}

t=\frac{I\times 100}{P\times r}

  =\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days

Thus, it will take 146 days to earn an interest of $80.

4 0
2 years ago
A 15ft. ladder is leaning against the house. The top of the ladder touches the house at 9 feet above the ground. find the angle
Tom [10]

Answer:

LOL

Step-by-step explanation:

3 0
2 years ago
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
aev [14]

Answer:

A ) The money which Andre pay for the bike is $ 67.30

B ) The money which Andre pay for the bike is $ 76.92

Step-by-step explanation:

Given as :

The wholesale cost or market price of the bike = m.p = $ 96.15

A ) The discount percentage = 30 %

Let The selling price of the bike after discount = s.p

Now ,

Discount % = \dfrac{m.p - s. p }{m . p}

or, 30 % = 1 - \dfrac{s. p }{m . p}

or, \dfrac{30 }{100} = 1 - \dfrac{s. p }{96.15}

Or, \dfrac{s. p }{96.15} = 1 -  \dfrac{30 }{100}

or,  \dfrac{s. p }{96.15} =  \dfrac{100 - 30 }{100}

Or,  \dfrac{s. p }{96.15} =  \dfrac{70}{100}

Or, s. p = \dfrac{70}{100} × 96.15

∴  s.p = $ 67.305

So, He will pay $ 67.30

Hence The money which Andre pay for the bike is $ 67.30  . Answer

B ) If the bike is discounted by 20 % , let The selling price = s.p'

So,

Discount % = \dfrac{m.p - s. p }{m . p}

or, 20 % = 1 - \dfrac{s. p' }{m . p}

or, \dfrac{20 }{100} = 1 - \dfrac{s. p' }{96.15}

Or, \dfrac{s. p' }{96.15} = 1 -  \dfrac{20 }{100}

or,  \dfrac{s. p' }{96.15} =  \dfrac{100 - 20 }{100}

Or,  \dfrac{s. p' }{96.15} =  \dfrac{80}{100}

Or, s. p' = \dfrac{80}{100} × 96.15

∴  s.p' = $ 76.92

So, He will pay $ 76.92

Hence The money which Andre pay for the bike is $ 76.92  . Answer

7 0
3 years ago
How old am I if 689 reduced by 5 times my age is 464? Write and Solve an Equation with an answer.
ludmilkaskok [199]

Answer:

45

Step-by-step explanation:

689 - 464 = 225

225 /5 = 45

7 0
3 years ago
Which statement correctly compares the function shown on this graph with
UkoKoshka [18]

Answer: I think it’s A

Step-by-step explanation:

7 0
3 years ago
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