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muminat
3 years ago
13

Nathan 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 C to point D?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
7 0
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = \sqrt{( x_{1}- x_{0})  ^{2}+ ( y_{1}- y_{0})  ^{2}  }
CD = \sqrt{(a-0)^{2}+ (b-b)^{2}  }

lyudmila [28]3 years ago
4 0

Wrong on apex is is a-0+(b-b)2=a2=a

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Expand (n+5)*2 by using the perfect square pattern
mario62 [17]
N^2 + 25 if you mean *2 is squared.
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3 years ago
What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The
RSB [31]
<h3>Answer: 19</h3>

==================================================

Explanation:

Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.

You can use subtraction to get

-7-12 = -19

or

12-(-7) = 12+7 = 19

The final result is made positive since negative distance does not make sense.

So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.

All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.

7 0
3 years ago
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Elenna [48]

Answer:

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Step-by-step explanation:

5 0
3 years ago
use &lt; or &gt; to compare 13 ×(54 +28) and 13 × 54 + 28 without calculating. Explain your reasoning
Firdavs [7]
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6 0
3 years ago
Read 2 more answers
Factored 8x2y3-5= <br> I need the answer
ANTONII [103]

Answer: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y3" was replaced by "y^3". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(23x2 • y3) - 5

STEP

2

:

Trying to factor as a Difference of Cubes

2.1 Factoring: 8x2y3-5

Theory : A difference of two perfect cubes, a3 - b3 can be factored into

(a-b) • (a2 +ab +b2)

Proof : (a-b)•(a2+ab+b2) =

a3+a2b+ab2-ba2-b2a-b3 =

a3+(a2b-ba2)+(ab2-b2a)-b3 =

a3+0+0+b3 =

a3+b3

Check : 8 is the cube of 2

Check : 5 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

8x2y3 - 5

5 0
3 years ago
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