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baherus [9]
3 years ago
11

Find the distance between M(-2,3) and N(8,2)​

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

10.0499

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-2, 3)

Point 2  ( x B , y B )  = (8, 2)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ ( x B − x A ) 2 + ( y B − y A ) 2

Solution :

Distance between two points =  √ ( 8 −  − 2 ) 2 + ( 2 − 3 ) 2

=  √ 10^2 + ( − 1 ) 2

=  √ 100 + 1

=  √ 101  = 10.0499

Distance between points (-2, 3) and (8, 2) is 10.0499

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How Many quarters are in a dollar?
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Answer:

4 quarters. Each quarter costs 25 cents. 25 x 4=100. There are 100 cents in a 1 dollar, so that's why 4 quarters= 1 dollar.

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A gas tank contains 5.3 gallons. The capacity of the tank is 12.5 gallons. How much will it cost to fill the tank at $1. 30 per
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12.5 - 5.3 = 7.2 gallons
7.2 gallons x $1.30 = $9.36 
$9.36 is your answer
8 0
4 years ago
The sum of 11 and the product of 2 and a number r
andrew-mc [135]
Algebraically that would be expressed as 2r + 11

The product of 2 and r is 2r.

The sum of 2r and 11 is 2r + 11
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4 years ago
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3/4 divided by 1/5 <br> Please help
Ulleksa [173]

Answer:

3 \frac{3}{4}

Step-by-step explanation:

\frac{3}{4}  \div  \frac{1}{5}  \\  \\  =  \frac{3}{4}   \times \frac{5}{1} \\  \\  =  \frac{3 \times 5}{4 \times 1}  \\  \\  =  \frac{15}{4}  \\  \\  = 3 \frac{3}{4}

7 0
3 years ago
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Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstam
Lubov Fominskaja [6]

Answer:

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

Step-by-step explanation:

Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.

El modelo de interés compuesto es representado por la siguiente fórmula:

C(t) =C_{o}\cdot (1+r)^{t} (1)

Donde:

C_{o} - Cantidad de dinero a prestar, medida en guaraníes.

r - Razón de interés interanual, adimensional.

t - Anualidad, medida en años.

C(t) - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.

Si sabemos que C_{o} = 5.000.000, r = 0.03 y t = 3, entonces la cantidad de dinero asociada al término del período de préstamo es:

C(3) = 5.000.000\cdot (1+0.03)^{3}

C(3) = 5.463.635

Finalmente, la cantidad de dinero a pagar por concepto de intereses es:

\Delta C = 5.463.635-5.000.000

\Delta C = 463.635

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

3 0
3 years ago
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