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Elis [28]
3 years ago
7

Calculate the length of AB if A is the point (2,3) and B is the point (-2,0)

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
5 0

Answer:

Formular for coordinate length:

length =  \sqrt{ {(x_{1}  - x _{2} )}^{2}  +  {(y_{1}  - y_{2})}^{2} }

In considerance of coordinates given of A and B

x _{1} \: \:  is \:  \: 2 \\ x_{2} \:  \: is \:  \:  - 2 \\ y_{1}  \: \: is \:  \: 3 \\ y_{2} \:  \: is \: \:  0

therefore substitute:

length =  \sqrt{ { \{2 - ( - 2) \}}^{2}  +  {(3 - 0)}^{2} }  \\  \\  =  \sqrt{ {(2 + 2)}^{2} +  {3}^{2}  }  \\  =  \sqrt{ {4}^{2} +  {3}^{2}  }  \\  =  \sqrt{16 + 9}  \\  =  \sqrt{25}  \\  \\ { \boxed{ \boxed{length  \:  \: is \:  \: 5 \: units}}}

Akimi4 [234]3 years ago
3 0

Answer:

The distance between the two points is 5

Step-by-step explanation:

https://www.omnicalculator.com/math/distance

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Mashutka [201]
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4 years ago
Which of the following is equivalent to log9w
liraira [26]

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Step-by-step explanation:

6 0
3 years ago
Hi! can someone please help? i added a pic so that u can see what i need help on. hopefully it helps
almond37 [142]

Answer:

I'm pretty sure that the answers would go, Wrong, increased, 9 1/2 points, 6 5/8 points, dropped, 12 3/4 points.

Step-by-step explanation:

The reason why it would be wrong is because the amount of points lost was less than the total amount of points gained.

In week one and two the company gained 9 1/2 points and 6 5/8 points. When you add them together, you get 16 1/8 points.

In week three the company lost 12 3/4 points. If you multiply the fraction to change the denominator to 8, the mixed fraction becomes 12 6/8.

16 1/8 - 12 6/8 = 3 3/8

As you can see, there are still points left over.

In the fourth week, they ended up losing all of their points and then some more, but from my understanding it's just asking about the third week.

Hope that this helps!

4 0
3 years ago
Write 19/50 as a decimal and round to the hundredths place
-Dominant- [34]

Answer:

0.38

Step-by-step explanation:

Divide 19 by 50.

4 0
3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

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U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
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