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3 years ago

Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2

Mathematics

1 answer:

yan [13]3 years ago

4 0

9514 1404 393

Answer:

B. x^4/4

Step-by-step explanation:

$2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}$

_____

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

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Graphing in Point-Slope Form y−y1=m(x−x1) Graph the equation y+7=−45(x−4) ?

nevsk [136]

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - a point on a line

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have the equation in a point-slope form:

$y+7=-\dfrac{4}{5}(x-4)$

$y-(-7)=-\dfrac{4}{5}(x-4)$

Therefore we have one point: (4, -7).

Convert to the slope-intercept form:

$y+7=-\dfrac{4}{5}(x-4)$ use the distributive property

$y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)$

$y+7=-\dfrac{4}{5}x+\dfrac{16}{5}$

$y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}$ subtract 7 from both sides

$y=-\dfrac{4}{5}x-3\dfrac{4}{5}$

Put x = -1 to the equation:

$y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3$

Therefore we have the second point (-1, -3).

3 0

3 years ago

Find the value when x = 2 and y =3. (2x + 5y)^0 0 1 19

Alexxx [7]

I don’t get what ^0 0 1 19 means but it’s
2(2) + 5(3)

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3 years ago

Three boats are at sea Jenny one(j1) Jenny two(j2) and Jenny three (j3). The crew of j1 can see both j2 and j3 (they create a tr

4vir4ik [10]

Answer:

Step-by-step explanation:

You know an angle, the side opposite the angle, and the side between them.

Use the Law of Sines.

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j2 = 180°-j1-j3 ≅ 108.0°

x = distance from j1 to j2

= 4.2sin(j2)/sin(j1)

≅ 5.7 miles

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2 years ago

Jason uses the polynomial identity (x−y)^2=x^2−2xy+y^2 to show that 6² = 36.

fenix001 [56]

A is your answer

plug in 8 into x and 2 into y

(8-2)^2 = 8^2 - 2(8)(2)+ 2^2

6^2 = 64 - 32 + 4

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hope this helps

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3 years ago

How to solve 2s-4=16

Firdavs [7]

2s - 4 = 16

Add 4 to both sides

2s = 20

Divide both sides by 2

s = 10

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3 years ago

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