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olga55 [171]
3 years ago
10

I need help please!

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

(8,2)

Step-by-step explanation:

We are given equations:

   5x-3y=34       (1)

     x-2y=4         (2)

On multiplying second equation by 5, we get

    5x-10y=20    (3)

On subtracting equation (1) by (3), we get

    7y= 14

⇒   y=2

Putting y=2 in equation  (2)

   x-2×2=4

⇒  x= 8

Hence, correct option is:

   (8,2)

Nana76 [90]3 years ago
3 0
<span><span><span>x−<span>2y</span></span>=4</span>;<span><span><span>5x</span>−<span>3y</span></span>=34</span></span>Step: Solve<span><span>x−<span>2y</span></span>=4</span>for x:<span><span><span>x−<span>2y</span></span>+<span>2y</span></span>=<span>4+<span>2y</span></span></span>(Add 2y to both sides)<span>x=<span><span>2y</span>+4</span></span>Step: Substitute<span><span>2y</span>+4</span>forxin<span><span><span><span>5x</span>−<span>3y</span></span>=34</span>:</span><span><span><span>5x</span>−<span>3y</span></span>=34</span><span><span><span>5<span>(<span><span>2y</span>+4</span>)</span></span>−<span>3y</span></span>=34</span><span><span><span>7y</span>+20</span>=34</span>(Simplify both sides of the equation)<span><span><span><span>7y</span>+20</span>+<span>−20</span></span>=<span>34+<span>−20</span></span></span>(Add -20 to both sides)<span><span>7y</span>=14</span><span><span><span>7y</span>7</span>=<span>147</span></span>(Divide both sides by 7)<span>y=2</span>Step: Substitute2foryin<span><span>x=<span><span>2y</span>+4</span></span>:</span><span>x=<span><span>2y</span>+4</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+4</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span>
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OleMash [197]

El volumen <em>remanente</em> entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

<h3>¿Cuál es el volumen remanente entre una caja cúbica vacía y una pelota?</h3>

En esta pregunta debemos encontrar el volumen <em>remanente</em> entre el espacio de una caja <em>cúbica</em> y una esfera introducida en el elemento anterior. El volumen <em>remanente</em> es igual a sustraer el volumen de la pelota del volumen de la caja.

Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:

Cubo

V = l³

V = (4 cm)³

V = 64 cm³

Esfera

V' = (4π / 3) · R³

V' = (4π / 3) · (2 cm)³

V' ≈ 33.5103 cm³

Segundo, determinamos la diferencia de volumen entre los dos elementos:

V'' = V - V'

V'' = 64 cm³ - 33.5103 cm³

V'' = 30.4897 cm³

El volumen <em>remanente</em> entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

Para aprender más sobre volúmenes: brainly.com/question/23940577

#SPJ1

3 0
1 year ago
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