I need the solution

Mathematics

1 answer:

shutvik [7]3 years ago

8 0

$\dfrac{8c^3}{6(c+d)}\div\dfrac{2c^2}{3c+3d}=\dfrac{4c^3}{3(c+d)}\div\dfrac{2c^2}{3(c+d)}\\\\=\dfrac{4c^3}{3(c+d)}\cdot\dfrac{3(c+d)}{2c^2}=\dfrac{4c^3}{2c^2}=2c$

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Identify a solution of the equation: log2x+log(x−5)=2

Harrizon [31]

Answer:

3.x= 10

Step-by-step explanation:

log 2x + log (x - 5) = 2
log (2x(x - 5)) = 2
2x(x - 5) = 10²
2(x² - 5x) = 100
x² - 5x - 50 = 0
x² + 5x - 10x - 50 = 0
x(x + 5) - 10(x + 5) = 0
(x - 10)(x + 5) = 0
x = 10
x = -5, this root is discounted as log should be positive.

Correct choice is 3.

6 0

3 years ago

What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2

erik [133]

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▹ Answer

(-1, 3)

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

Substitute

y - (2 - 2y) = 7

Solve

y = 3

Substitute

4x = 2 - 2 * 3

Solve

x = -1

Final Answer

(x, y) = (-1, 3)

Hope this helps!

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4 0

3 years ago

Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d

algol13

You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .