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SVETLANKA909090 [29]
3 years ago
11

Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram. Show all of y

our work for full credit.
Mathematics
1 answer:
Digiron [165]3 years ago
4 0
AD slope = (0 - 2)/(1-3) = 1

BC slope = (0-2)/(5-7) = 1

The line segments AD and BC have the same slope, so both line segments are parallel.

AB & CD slopes = 0 

AB & CD will be horizontal since there is no change in their Y-values thus both segments are parallel to each other

So ABCD is a parallelogram 
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Please help. Attached as an image
Triss [41]

Distance formula ds = v(dx² + dy²) s = ? v(1 + (dy/dx)²) dx ......... s = the arc length y = 171 - x²/45

chegg

someone solved it on this

https://youtu.be/UGjXlMVdZvc

4 0
2 years ago
If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years? Round to the nearest tent
mr Goodwill [35]

Answer:

Step-by-step explanation:

Alright, let get started.

Suppose the initial deposit in account = x

After five years, this accounts get doubled means  = 2x

Means in 5 years , the growth = 2x-x = x

So, in 1 year, the growth will be = \frac{x}{5}

So, in 3 years, the growth will be = \frac{x}{5}*3=\frac{3x}{5}

So percent grwoth will be = \frac{\frac{3x}{5}}{x}*100 = 60

Hence percentage growth is 60 %.    :  Answer

Hope it will help :)


4 0
3 years ago
Simplify the square root of 3 times the fifth root of 3.
bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

\sqrt[n]{x^{m}}=x^{\frac{m}{n}}

Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

3 0
3 years ago
Read 2 more answers
The figure shown is a rhombus.Its measurements are in cm.Calculate
tia_tia [17]
I need a picture of the figure so I can calculate it.
3 0
3 years ago
The asking price for homes on the real estate market in Baltimore has a mean value of​ $286,455 and a standard deviation of​ $11
Stella [2.4K]

Answer:

c)

Step-by-step explanation:

The asking price in Baltimore has a mean value of $286,455 and a standard deviation of $11,200; this means that most houses prices fall between $275,255 and $297,655.

Similarly, the mean value in Denver is $188,468 and a standard deviation of $8,230; most houses prices fall between $180,238 and $196,698.

The problem tells us that one home sold in each city where the asking price for each home was $193,000. In the case of Denver this would be expected (values usually fall between 180,000 and 196500 approximately).

However, the house in Baltimore is relatively farther from the mean than the one in Denver because the price is more than one standard deviation away from the mean.

Therefore, the correct answer is C. The house in Baltimore is relatively farther from the mean than the house in Denver.

6 0
3 years ago
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