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harkovskaia [24]
3 years ago
14

Please help me!I will give you 44 points

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same.  Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

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Evaluate:<br> 7 - 3 + 10
vivado [14]

Answer:

14

Step-by-step explanation:

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18. Which of the following is equivalent to √5p^2q×√5q?
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Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el re
spayn [35]

Answer:

El padre tenía un capital de 60,000 euros.

El hijo mayor recibe 12,000 euros.

El hijo segundo recibe 15,000 euros.

El hijo tercero recibe 33,000 euros.

Step-by-step explanation:

Sea x el capital total del padre y a,b,c son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:

Hijo mayor

a = \frac{1}{5}\cdot x (1)

Hijo segundo

b = \frac{1}{4}\cdot x (2)

Hijo tercero

c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000 (3)

De (3) tenemos que el capital del padre es:

x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4}  }

x = 60000

El padre tenía un capital de 60,000 euros.

Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:

a = \frac{1}{5}\cdot x

x = 12000

El hijo mayor recibe 12,000 euros.

b = \frac{1}{4}\cdot x

b = 15000

El hijo segundo recibe 15,000 euros.

4 0
3 years ago
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