MATHEMATICS HIGH SCHOOL

Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y.2x9y4 + 4x6y3
2x3y2 + 4xy
2x3y2 + 4y2
2x3y2 + 4y

Answers

Answer 1
Answer:

Answer:

Option 4th is correct

2x^3y^2+4y

Step-by-step explanation:

GCF(Greatest common factor) is the largest number that divide the polynomial.

Given the statement:

the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

⇒(10x^6y^3+20x^3y^2)/(5x^3y)

To simplify this expression:

GCF of 10x^6y^3 and 20x^3y^2 is, 10x^3y^2

then;

(10x^3y^2(x^3y+2))/(5x^3y)

⇒2y(x^3y+2)

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

⇒2x^3y^2+4y

Therefore, the simplified expression is, 2x^3y^2+4y
Answer 2
Answer: (10x^6y^3 + 20x^3y^2) / 5x^3y

10x^6y^3 / 5x^3y ⇒ 2x^3y^2
20x^3y^2 / 5x^3y ⇒ 4y

2x³y² + 4y   This is the simplified answer. The last option.

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Solve the equation 4-2(x+7)=3(x+5) =

Answers

Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


-2x - 10 = 3x + 15


Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


- 2x - 10 - 3x = 3x + 15 - 3x


- 5x - 10 = 15


Step 3) Add 10 to both sides.


- 5x - 10 + 10 = 15 + 10


- 5x = 25


Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

A water pitcher weighs 1.72 kg when empty and 2.01 kg when filled with water. How much does the water weigh?

Answers

the water weigh:
2.01-1.72=0.29kg

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Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.

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. How many cans are needed to meet or surpass your goal? Solve the inequality

Solve: 4x + 6 < -6
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Answers

1. -2
2. 3
3. -4
Those are the first 3 equations

135 + 89 = 224
325 - 224 = 101
I am not sure what the inequality would be... im sorry

4x + 6 < -6 
Answer is -3

x+x-4 < 10
Answer is 7

The last question doesnt have a number to the right so I dont know What you are looking for.
Thats all I know, hope it helps

C equal 3x - 2 of x=5 than what does c equal

Answers

Answer:

13

Step-by-step explanation:

Given,

x=5

Now,let's findthevalue ofC

c = 3x - 2

plugthevalue ofx

= 3 * 5 - 2

Multiplythenumbers

= 15 - 2

Calculatethedifference

= 13

Hopethis helps..

Bestregards!!

Answer:

i need help this too

Step-by-step explanation:

Help!! I'm really confused, please explain how you got it

Answers

3a²-4b
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Right Isosceles Triangle ABC has a hypotenuse of length h. Line segment DE is a midsegment with length 4x. What is the perimeter of triangle ABC?

Answers

 If it is parallel to the hypotenuse, then the hypotenuse is twice as long. So h = 8x 
Then the legs will be (8x)/sqr(2). Since the triangle is a 45-45-90 

So the perimeter = 8x + (8x)/sqr(2)+ (8x)/sqr(2) 
=8x+ 16x/sqr(2) 
=8x+ 8xsqr2 

2)if the midsegment Is parallel to a leg, then each leg = 8x and the hypotenuse = 8x sqr2 

Then the perimeter is 8x + 8x + 8xsqr2 
= 16x+ 8xsqr2 
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