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2 years ago

Use the distributive property to remove the parentheses. -7(-3x-2u+4)

Mathematics

2 answers:

spayn [35]2 years ago

4 0

21x+14u-28would be the answer.

Vedmedyk [2.9K]2 years ago

3 0

The answer is 21x+14u+-28

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What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

1 year ago

Please help with this

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

(3x -14) + 9x is 90 degrees, so if you add 90 it becomes 180 degrees

It is 90 degrees because you can see that there is a right angle there

6 0

2 years ago

Choose 3 ratios in simplest form. 3:9

Sonja [21]

Answer:

Step-by-step explanation:

1:3

6:18

9:27

are all equivlent ratios

7 0

2 years ago

Distribute 5(2x-4y+8z)

Cloud [144]

Answer: Hello! After being distributed, your answer should be 10x-20y+40z, hope this helps!

Step-by-step explanation: First multiply 5 and 2x and get 10x, then multiply 5 and 4y and get 20y, and lastly, multiply 5 an 8z and get 40z!

6 0

2 years ago

By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?

lana [24]

-20% or a 20% decrease.

3 0

2 years ago