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2 years ago

Find the value of x. please explain and show your work.

Mathematics

1 answer:

iris [78.8K]2 years ago

3 0

Answer:

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

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3 years ago

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3 years ago

Which choice is the solution to the inequality below?

Georgia [21]

<h3>hello!</h3>

In order to solve this inequality, we should divide both sides by 9:-

$\sf{9x < 72}$

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

$\sf{x < 8}$

Hence, that's the solution to the inequality.

It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)

(Option C is correct :) )

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

8 0

2 years ago

Read 2 more answers

Choose one of the factors of 500x3 + 108y18

sammy [17]

Answer:

Option C

Therefore, one of the factors of $500x^3 +108y^\left (18\right )$ is $(5x+3y^6)$ .

Step-by-step explanation:

Given: $500x^3 +108y^\left (18\right )$

the common factor from $500x^3$ and $108y^\left (18\right )$ is 4.

therefore, $4\cdot \left ( 125x^3+27y^\left (18\right ) \right )$

$4\cdot \left ( (5x)^3+(3y^6)^3 \right))$

Now, use the formula for above expression: $(a^3+b^3)=(a+b)(a^2-ab+b^2)$

here, $a=5x$ and $b=3y^6$

$( (5x)^3+(3y^6)^3 \right))$ $=(5x+3y^6)(25x^2-15xy^6+9y^12)$

Therefore, we have

$500x^3 +108y^\left (18\right )$ $=4\cdot (5x+3y^6)\left (25x^2-15xy^6+9y^\left ( 12 \right ) \right )$

Therefore, one of the factors of $500x^3 +108y^\left (18\right )$ is $(5x+3y^6)$ .

7 0

3 years ago

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