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3 years ago

Find the solution of y=x-3

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

Answer:

x=3

Step-by-step explanation:

0 = x -3

-x = -3

change the sign to positive so x= 3

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3 years ago

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

Can someone pls help

Tom [10]

5 balls = 3.1 pounds
1 ball = 3.1 ÷ 5 = 0.62 pounds

6 0

3 years ago

When Romano win out with her three sisters I spent 58+9% tax on the meal they are solar 15% to a very divided it up the bill eve

umka21 [38]

Answer:

I'm not sure what the answer you are looking for is but if it is 58 + 9%, plus 15% more, that would be 72.703

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3 years ago

What's three equivalent ratios for 6/9

vaieri [72.5K]

Answer:

Three equivalents ratios for 6/9 could be 2/3, 12/18 and 18/27

Step-by-step explanation:

An equivalent ratio refers to the same number but written differently. For example, for the ratio 6/9, we could obtain the following equivalent ratios.

First equivalent ratio

You can divide the numerator and denominator by 3. You get 2/3

$\frac{6\div 3}{9\div 3}=\frac{2}{3}$

Second equivalent ratio

You can multiply the numerator and denominator by 2. You get 12/18

$\frac{6\times 2}{9\times 2}=\frac{12}{18}$

Third equivalent ratio

You can multiply the numerator and denominator by 3. You get 18/27

$\frac{6\times 3}{9\times 3}=\frac{18}{27}$

Thus, three equivalents ratios for 6/9 could be 2/3, 12/18 and 18/27

4 0

3 years ago

Read 2 more answers