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antoniya [11.8K]

3 years ago

5

What is the sum of the polynomials? (7x^3 – 4x^2) + (2x^3 – 4x^2)

1 answer:

AVprozaik [17]3 years ago

6 0

(7x^3 – 4x^2) + (2x^3 – 4x^2)
Add 2x^3 to 7x^3
(9x^3 - 4x^2) + (-4x^2)
Add -4x^2 to -4x^2. This would be the same as subtracting 4x^2 from -4x^2
Final Answer: 9x^3 - 8x^2

*The answer cannot be broken down anymore. It's in it's simplest form.

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The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

svet-max [94.6K]

The sides of the triangle are 3x, 4x and 5x

3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5

first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm

7 0

2 years ago

A=?<br><br> b=?<br><br> C =?<br><br> Can someone tell me the answer please

beks73 [17]

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).

5 0

2 years ago

Read 2 more answers

The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original n

muminat

Answer:

Original number is 47

Step-by-step explanation:

Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.

To find: the original number

Solution:

Let x denotes digit at ones place.

As the tens digit is three less than the units digit,

Digit at tens place = $x-3$

Original number = $10(x-3)+x=11x-30$

When digits are reversed,

Reversed number = $10x+(x-3)=11x-3$

As the sum of the reversed number and the original number is 121,

$11x-30+11x-3=121\\22x-33=121\\22x=154\\x=\frac{154}{22}\\=7$

So,

original number = $11x-30=11(7)-30=77-30=47$

8 0

2 years ago

Factor (difference of squares) the binomial 25x^2-4 and find one of its factors

Lunna [17]

Step-by-step explanation:

Hey, there!

Here,

Given that:

$= 25 {x}^{2} - 4$

we need to find factor,

As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,

25x^2 means (5x)^2

and 4 means 2^2

Now, it would be,

$= ( {5x)}^{2} - {2}^{2}$

$= (5x + 2)(5x - 2)$

Therefore, it's factor would be (5x+2)(5x-2).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0

3 years ago

an assembly line produces 20 items per hour. if the line runs 24 hours per day, 7 days week, how many items are made by this mac

bezimeni [28]

20(24) = 480 items per day
480(30) = 14,400 items per month

7 0

2 years ago