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2 years ago

Avery solves the equation below by first squaring both sides of the equation.

Mathematics

1 answer:

son4ous [18]2 years ago

5 0

Answer:

z = -1 and 7/3

Step-by-step explanation:

after squaring each side you get:

z² + 8 = (1 - 2z)²

z² + 8 = 1 - 4z + 4z²

combine like terms to get this trinomial:

3z² - 4z - 7, which has factors of (3z - 7)(z + 1)

therefore, z = 7/3 and z = -1

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Evaluate for x = 3 and y = 4: x^-2y^2/x^0y^3 1/36 4/9 1024/9

GrogVix [38]

Answer:

$\frac{1}{36}$

Step-by-step explanation:

Evaluating the numerator and denominator before evaluating

Using the rule of exponents

$a^{-n}$ ⇔ $\frac{1}{a^{n} }$ , $a^{0}$ = 1

Thus

$x^{-2}$ y² ← substitute values into expression

= $3^{-2}$ × 4² = $\frac{1}{9}$ × 16 = $\frac{16}{9}$

and denominator

$x^{0}$ $y^{3}$ = 1 × 4³ = 1 × 64 = 64

Now dividing

$\frac{16}{9}$ ÷ 64

= $\frac{16}{9}$ × $\frac{1}{64}$ ( cancel 16 and 64 )

= $\frac{1}{9(4)}$ = $\frac{1}{36}$

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2 years ago

How much does it cost to fix a chipped tooth?

Nina [5.8K]

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2 years ago

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer

solong [7]

Answer:

$Volume = 18312.48$

Step-by-step explanation:

Given

$Height (h) = 18mm$

$Radius (r) = 18mm$

Required

Determine the volume

The volume of a cylinder is calculated as thus:

$Volume = \pi r^2h$

Substitute values for r and h

$Volume = 3.14 * 18^2 * 18$

$Volume = 18312.48$

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

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2 years ago

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aleksandrvk [35]

Answer:

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Step-by-step explanation:

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1 year ago

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Question part points submissions used solve the given differential equation by separation of variables. dx + e2xdy = 0

lina2011 [118]

Try this:
if given dx+e²ˣdy=0, then
$dy=- \frac{dx}{e^{-2x}} \ =\ \textgreater \ \ \int dy=-\int e^{-2x}dx; \ =\ \textgreater \ \ y= \frac{1}{2}e^{-2x}+C;$

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2 years ago