Factor by grouping. xv+ 3x-2v-6

Mathematics

1 answer:

andrey2020 [161]2 years ago

4 0

Answer:

(x - 2)(v + 3)

Step-by-step explanation:

xv + 3x - 2v - 6

= x(v + 3) - 2(v + 3)

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Select the answer choice that equals the given expression. 8^-3 x 8^-2 x ^5

Alexus [3.1K]

Answer:

B) 1

Step-by-step explanation:

Given:

$8^{-3}\times 8^{-2}\times8^5$

We need to solve the given expression.

Now We know that when base of the exponents then the law of indices applied for the same.

Now According to Law of Indices.

$x^a\times x^b = x^{a+b}$

On Solving the above expression we get;

$8^{-3+(-2)+5}\\\\8^{-3-2+5}\\\\8^{-5+5}\\\\8^0\\\\\textrm{Now Again by law of indices;}\\\\a^0 =1\\\\Hence\ 8^0 = 1$

Hence The Simplified form of given expression is 1.

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3 years ago

The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2

Lana71 [14]

-- Reflecting across the x-axis makes all the x-coordinates the negative of
what they were before the reflection. The y-coordinates don't change.

-- Translating 2 units up makes all the y-coordinates 2 greater than
they were before the translation. The x-coordinates don't change.

You didn't give us a list of new coordinates, so there's nothing
to match with.

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3 years ago

Given: △ABC, AB=5sqrt2 <br> m∠A=45°, m∠C=30°<br> Find: BC and AC

Marysya12 [62]

BC is 10 units and AC is $5+5\sqrt{3}$ units