Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.

Mathematics

2 answers:

Dominik [7]3 years ago

6 0

Answer:

Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram

Phoenix [80]3 years ago

5 0

Answer:

Step-by-step explanation:

XN = NZ & NY = NW

This shows that diagonals XZ & WY bisect each other.

So, this quadrilateral is a parallelogram.

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Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consistin

amm1812

Answer:

$(00)^{*} | (00)^{*} 1 (00)^{*}$

Step-by-step explanation:

The best way would be to have 00 begin then a 1 and 00; starting with the possibility of 00 or 1 means that we might not get 1 in some formation.

6 0

3 years ago

Which of the following represents the polar equation r = (cot 2θ)(csc θ) as a rectangular equation?

STALIN [3.7K]

The option that depicts the polar equation r = (cot 2θ)(csc θ) as an equation that is rectangular is: y² = 2x.

<h3>What is a polar equation?</h3>

A polar expression is any equation that describes the correlation between r and θ, where r signifies the anticlockwise angle formed by a point on a curve, the pole, and the positive x-axis, and means the breadth between the origin and a location on a curve.

<h3>What is the solution to the equation above?</h3>

Step 1 - expand the polar equation

r = 2cosθ * cscθ

Step 2 - convert csc and cos to their equivalents in tan and sin

r = 2 * (1/tanθ) * (1/sinθ) * sinθ

r = 2 * (1/tanθ) * sinθ/sinθ

r = 2 * 1/tanθ

r = 2/tanθ, making 2 the subject of the formula, we have

rtanθ = 2

Note that rectangular coordinates of a point will be depicted as (x,y) and it's plolar coordinate will be (r, θ).

This mean

x = r cos θ; and

y = r sinθ

From the above, we can state that:

Since y = r sinθ
⇒ tanθ = y/x

⇒ (rsinθ/y) * tanθ = 2

Thus y * (y/x) = 2

Therefore,

y²/x = 2

y² = 2x

Learn more about polar equation at:

brainly.com/question/9363127
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5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2

Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$