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3 years ago

7

Using the distributive property simplify this -2(x-3)

1 answer:

Mnenie [13.5K]3 years ago

4 0

For this case we must simplify the following expression:

$-2 (x-3)$

By definition we have that the distributive property establishes that:

$a (b + c) = ab + ac$

So, if we have:

-2 (x-3)

We take into account the law of multiplication of signs:

$- * + = -\\- * - = +$

So:

$-2 (x-3) = - 2x + 2 * 3 = -2x + 6$

Answer:

$-2x + 6$

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Solve for x:<br>(x-1)^3/2 = 27

Alex_Xolod [135]

(x-1)^3 / 2 = 27

For equations like this, we want to isolate x in order to get the value of it.

First, let's multiply both sides by 2 to eliminate the fraction.

(x-1)^3 = 27(2)

Now, let's take the cube root of both sides

(x-1) = ∛(27 * 2)

Now, simplify the root

x - 1 = 3∛2

Add both sides by 1

x = 1 + 3∛2

That's your answer.

Have an awesome day! :)

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3 years ago

Explain how you can find the missing number in 3 4/5 / missing number = 2 5/7

hram777 [196]

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3 years ago

Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12

irina [24]

Answer:

Part 1) The perimeter is $P=6\sqrt{6}\ cm$

Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

<u><em>The question in English is</em></u>

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

$A=bh$

$A=12\ cm^2$

so

$bh=12$ ----> equation A

The base is twice the height

so

$b=2h$ ----> equation B

substitute equation B in equation A

$(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm$

Find the value of b

$b=2\sqrt{6}\ cm$

step 2

Find the perimeter of rectangle

The perimeter is given by

$P=2(b+h)$

substitute

$P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm$

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

3 0

3 years ago

3. Tom, Sam and Matt are counting drum beats.

just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0

3 years ago