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mr Goodwill [35]
11 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]11 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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1/4 of a rod was painted red. 2/5 was painted orange and 2/7 of the remainder was painted yellow. The yellow section was 20cm lo
Leno4ka [110]

Answer: 200cm long

Step-by-step explanation:

Let the length of the rod be x

red = 1/4 of the rod , which means 1/4 of x

orange = 2/5 of x

The remainder = x - (\frac{x}{4} +\frac{2x}{5})

= x - (\frac{13x}{20})

= \frac{7x}{20}

yellow = 2/7 of the remainder , that is

yellow = 2/7 of \frac{7x}{20}

yellow = \frac{x}{10}

and it was given that the yellow section was 20cm long , that is

\frac{x}{10} = 20cm

x = 20 x10

x = 200

Therefore the rod was 200cm long

6 0
3 years ago
A commercial building has seven levels of car parking spaces. Each level has four rows and each row has 38 car spaces. How many
tatyana61 [14]

So, all we have to do here is multiply:

First, the amount of car spaces by the amount of rows:

38 x 4 = 152  

This is the number of parking spots per level.

Then, the number of levels by the number of parking spots on each level:

152 x 7 = 1064

So, a total of 1,064 cars can be parked in this building!

8 0
3 years ago
What is C26 ?<br><br> 12<br><br><br> 15<br><br><br> 8<br><br><br> 30
lapo4ka [179]

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

4 0
3 years ago
IN NEED OF MORE HELP AND THANK YOU IF YOU ANSWER
Lorico [155]

Answer:

512

Step-by-step explanation:

5.12 converted to a fraction is 512/100

3 0
2 years ago
Help me answer this question.
neonofarm [45]

Answer:

<h2>8 units²</h2>

Step-by-step explanation:

Let side of the square = a

The , Area of square = a²

Now, Midpoint of Diagonal DB is E

And DE = 2 units

So, DB = 2 DE = 2 × 2 = 4 units

Now, using Pythagoras theorem in ∆ BCD

DB² = DC² + BC²

plug the values

{4}^{2}  =  {a}^{2}  +  {a}^{2}

Collect like terms

{4}^{2}  = 2 {a}^{2}

Evaluate the power

16 = 2 {a}^{2}

Swipe the side of the equation

2 {a}^{2}  = 16

Divide both sides of the equation by 2

\frac{2 {a}^{2} }{ 2 }  =  \frac{16}{2}

Calculate

{a}^{2}  = 8

Therefore, The area of the square is 8 sq.units.

Hope this helps..

Best regards!!

3 0
3 years ago
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