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3 years ago

Whats the midpoint between (2,-7) and (10,1)

Mathematics

1 answer:

lana [24]3 years ago

7 0

Answer:

(6,-3)

Step-by-step explanation:

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For A (1, –1), B (–1, 3), and C (4, –1), find a possible location of a fourth point, D, so that a parallelogram is formed using

katrin [286]

The possible coordinates for the vertex D of the parallelogram could be (-4, 3)

It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.

Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).

In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.

According to the properties of a parallelogram, diagonals bisect each other.

Hence, mid-point of AB = mid-point of CD

Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,

x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2

Here, for AC,

x₁ = 1, y₁ = -1

x₂ = -1, y₂ = 3

Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2

(x, y) ≡ (0, 1) ............. (1)

Since (x, y) is also the mid-point of CD, we also have,

x₁ = 4, y₁ = -1

x₂ = a, y₂ = b

Then, x = (4 + a)/2 and y = (-1 + b)/2

(x, y) ≡ ((4 + a)/2, (-1 + b)/2) ................... (2)

From (1) and (2),

(4+a)/2 = 0 and (-1+b)/2 = 1

4+a = 0 and (-1+b) = 2

a = -4 and b = 3

Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

8 0

2 years ago

michelle and rosa are researching the deepest lakes in the united states for a school project. lake tahoe has a depth of 1,644 f

Hatshy [7]

Answer:

Rosa is closer to the correct depth.

Step-by-step explanation:

To show that two measurements are nearly equivalent, we must convert one of the measurements to the other unit.

1 m = 3.281 ft

$\text{Depth } = \text{1644 ft} \times \dfrac{\text{1 m}}{\text{3.281 ft}} = \textbf{501.1 m}$

Neither is correct but Rosa is closer to the correct depth.

4 0

3 years ago

Martha measures the big prize wheel on a game show and calculates that it has a circumference of 12.56 yards. What is the prize

trasher [3.6K]

The radius is 2 yards...
Formula for circumference is $\pi r^2$ so divide your circumference by 3.14 or pi and you get 4 the square root of 4 is 2.

Hope this helps!

7 0

3 years ago

PLEASE HELP ME!!!!!!!!!!!!!!!! OUT OF TIME AND MY MIND HERE!!!!

Elenna [48]

Is this a test because you said your out of time

6 0

3 years ago

What is the area of the rectangle, in square feet?<br>9 ft<br>20 ft

goblinko [34]

Answer:

180 Square Feet

Step-by-step explanation:

For Rectangle:

l = 9 ft

b = 20 ft

Area of Rectangle

$= l \times b \\ = 9 \times 20 \\ = 180 \:square \: feet$

3 0

3 years ago

Whats the midpoint between (2,-7) and (10,1)​

Whats the midpoint between (2,-7) and (10,1)