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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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Princess Poly found the king's stash of garden plans and sees that the area of each plot is described as a polynomial. She has n
tankabanditka [31]

Answer:

75

Step-by-step explanation:

5 0
3 years ago
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

x=5y -----> equation A

y=2z

z=y/2 -----> equation B

(x+2)+(y+2)+(z+2)=58

x+y+z+6=58

x+y+z=52  -----> equation C

Substitute equation A and equation B in equation C and solve for y

5y+y+y/2=52

Multiply by 2 both sides to remove the fraction

10y+2y+y=104

13y=104

y=8

<em>Find the value of x</em>

x=5(8)=40

<em>Find the value of z</em>

z=8/2=4

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0
3 years ago
If f(x)=3x+5 and q(x)=0, show that f(x)+q(x)=f(x).
alex41 [277]

Step-by-step explanation:

  • f(x)=3x+5
  • q(x)=0

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)

<h3>Hence proved</h3>
8 0
3 years ago
Can choose multiple answers :))
Nady [450]
A.) f(x) = x^2 because 2 > 1. So f(2) = 4.

A is correct.

B.) f(x) = x^2 because 5 > 1. So f(5) = 25.

B is incorrect.

C.) f(x) = 2x because -2 < 1. So f(-2) = -4.

C is incorrect.

D.) f(x) = 5 because x = 1.

D is correct.

So the answer is A and D.





8 0
3 years ago
I need help again... 4x divided by 8 = 3
iogann1982 [59]
X=6.0000000000000000000
3 0
3 years ago
Read 2 more answers
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