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Marat540 [252]
3 years ago
9

Apply the distributive property to create an equivalent expression. 1/2 (2a - 6b+ 8)

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
The answer is A-3b+4
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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
What is the total number of points scored by a player who makes 3 three-pointers, 5 two-pointers, and 6 free throws?
PolarNik [594]
25 because 3 threes is 9 and 5 twos is 10 so thats 19 plus 6 free throws which are 1 point so a total of 6 
6 0
3 years ago
Read 2 more answers
62,400 is what percentage of 156,000
STatiana [176]
62400 is what percent of 156000 
<span>= 62400 / 156000 </span>
<span>= 0.4 </span>

<span>Converting decimal to a percentage: </span>
<span>0.4 * 100 = 40%</span>
5 0
3 years ago
Read 2 more answers
Circle V is shown. Line segment T V is a radius with length 14 feet.
lawyer [7]

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

A=\pi r^2, where r represents radius of circle.

Upon substituting r=\text{14 ft} in above formula, we will get:

A=\pi(14\text{ ft})^2

A=\pi(14)^2\text{ ft}^2

A=\pi\cdot 196\text{ ft}^2

A=196\pi\text{ ft}^2

Therefore, the area of the circle V is 196\pi square feet and option 'c' is the correct choice.

5 0
3 years ago
9 less than a number r is 15
polet [3.4K]

Answer:

r = 26

Step-by-step explanation:

5 0
3 years ago
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