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aalyn [17]
2 years ago
7

Datguy323 is going to complain again. What's the variables for:

3D7" id="TexFormula1" title="x^2+y^2=29\\x+y=7" alt="x^2+y^2=29\\x+y=7" align="absmiddle" class="latex-formula">
y<4

Mathematics
2 answers:
Korolek [52]2 years ago
8 0

Answer: :o I FINALLY MADE IT

(5, 2)

x = 5

y = 2

Step-by-step explanation:

First, I graphed both equations.  They meet at the points (5,2) and (2,5).  Because y < 5, the solution is (5, 2)

<em>Hope it helps <3</em>

pychu [463]2 years ago
4 0

Answer:

x=5\\y=2

Step-by-step explanation:

x^2 +y^2 =29

x+y=7

Solve for x in the second equation.

x+y=7

x+y-y=7-y

x=7-y

Plug in the value for x in the first equation and solve for y.

(7-y)^2 +y^2 =29

y^2-14y+49+y^2 =29

2y^2-14y+20=0

2(y-2)(y-5)=0

2(y-2)=0\\y-2=0\\y=2

y-5=0\\y=5

y

y=2

y\neq 5

Plug y as 2 in the second equation and solve for x.

x+y=7

x=7-y

x=7-2

x=5

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The perimeter of a rectangular slab of concrete is 24 meters. If the length of the
sergejj [24]

perimeter = 2L +2W

the problem states the length ( L) is 2 meters longer then width, so L = w+2

so perimeter =2(w+2) +2w

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5 0
3 years ago
En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a l
Anvisha [2.4K]

Answer:

Hay 50 latas en total que tocan el fondo de la caja.

Step-by-step explanation:

Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:

n_{V} = n_{w}\cdot n_{h}\cdot n_{l} (1)

Donde:

n_{V} - Total de latas de atún, adimensional.

n_{w} - Cantidad de latas de atún a lo ancho de la caja, adimensional.

n_{h} - Cantidad de latas de atún a lo alto de la caja, adimensional.

n_{l} - Cantidad de latas de atún a lo largo de la caja, adimensional.

De acuerdo con el enunciado, tenemos las siguientes relaciones:

n_{V} = 400 (2)

n_{l} = n_{w} +5 (3)

n_{h} = n_{w}+3 (4)

Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:

n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400

n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400

n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0

Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:

n_{w,1} = 5, n_{w,2} = -6.5+i\,6.144, n_{w,3} = -6.5-i\,6.144

En consecuencia, la única solución válida es n_{w} = 5 y las variables restantes son por (3) y (4):

n_{l} = 10 y n_{h} = 8

La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:

n_{A} = n_{w}\cdot n_{l} (5)

n_{A} = (5)\cdot (10)

n_{A} = 50

Hay 50 latas en total que tocan el fondo de la caja.

4 0
2 years ago
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