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Fynjy0 [20]
3 years ago
9

Miguel wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

BCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point A to point B?

 
Mathematics
1 answer:
solong [7]3 years ago
8 0
By graphing the given points, you will see that a rectangle can be made from the points. Points A and B lie on the same line horizontally as well as points C and D. To determine the distance between points, we use the distance formula expressed as:

d = √((y2-y1)^2 + (x2-x1)^2)

For points A and B, the term (y2-y1)^2 is equal to zero since they lie on the x-axis. The formula would become

d = √(x2-x1)^2
d = x2-x1 = a - 0 = a

Therefore, the distance would be equal to the value of a.
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Simplificar A=4x2-6x2+7x2-20x2+19x2
maks197457 [2]

Answer:

4x²

Step-by-step explanation:

Your equation is 4x² - 6x² + 7x² - 20x² + 19x².

Since they all have the same variable, simply combine them all to find your answer.

4x² - 6x² + 7x² - 20x² + 19x²

-2x² + 7x² - 20x² + 19x²

5x² - 20x² + 19x²

-15x² + 19x²

4x²

7 0
3 years ago
The length of line PQ is 7.5 inches. what is the absolute error of the measurement?
Rashid [163]

Answer:

The absolute error of the measurement is 0.25 inches

Step-by-step explanation:

we know that

The absolute error of a measurement is equal to one  half the unit of measure.

In this problem we have

7.5 inches

The measurement is given  by 0.5 inches

So

the absolute error of this  measurement is  

\frac{1}{2}(0.5)=0.25\ in

Therefore

the exact measurement could be between  

7.5 (+/-) 0.25 in

That is, between  7.25 in and  7.75 in

4 0
3 years ago
Which polynomial function has a leading coefficient of3 and roots -4, i, and 2, all with multiplicity 1?
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

7 0
3 years ago
A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where
stich3 [128]

When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.

3 0
2 years ago
A square patio has a perimeter of (32x+8) feet. What is the length of the patio?
Sonbull [250]

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

\mathbf{Shape = Square}

\mathbf{Perimeter = 32x + 8}

The perimeter of a square is:

\mathbf{Perimeter = 4 \times Length}

So, we have:

\mathbf{4 \times Length = 32x + 8}

Divide both sides by 4

\mathbf{Length = 8x + 2}

Hence, the length of the patio is: 8x + 2

Read more about perimeters at:

brainly.com/question/6465134

3 0
3 years ago
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