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Arada [10]
3 years ago
9

Assuming that $3u + 12v\neq0$, simplify $\dfrac{12u^3 + 48u^2v}{3u+12v}$.

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

  4u²

Step-by-step explanation:

  \dfrac{12u^3 + 48u^2v}{3u+12v}=\dfrac{12u^2(u+4v)}{3(u+4v)}=\boxed{4u^2}

Common factors cancel from numerator and denominator. The one factor that might make the expression undefined is given as non-zero, so no additional restrictions apply.

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What's the numerator for the following rational expression? 8/y+3/y=?/y
GuDViN [60]
Ur answer would be 11/y
3 0
3 years ago
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Which statements about 12 ÷ 7 are true? Use the array to answer the question. Check all that apply.
AURORKA [14]

Answer:

The remainder is 5

Step-by-step explanation:

12 Divided by 7 equals 12 over 7 or 1.714285. 7 can only go into 12, one time. if we subtract 7 from 12 we get 5 which is the remainder. There is no way it can be 2 because 7 plus 2 equals 9. 1 x 7 + 5 equals 12 which isn't 1.714285. 2 x 7 + 4 equals 18 which also isn't 1.714285. Same with 2 x 5 + 5. That equals 15 which isn't 1.714285.

5 0
3 years ago
1. Nine students in an accounting class passed midterm exam. If there were 20 students in the class,
Marysya12 [62]

Answer:

Step-by-step explanation:

Passed Percentage= (9/20) * 100 = 9 * 5  = 45%

7 0
3 years ago
Read 2 more answers
Find x and y so that the quadrilateral is a parallelogram.
sergiy2304 [10]

Answer:

Result:

  • The value of x = 12
  • The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

  • The value of x = 12
  • The value of y = 21
3 0
3 years ago
A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions
tiny-mole [99]

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

l = 12 + w

The area of a rectangle is

Area = lw

This implies that:

w(12 + w) = 2880

Expand

{w}^{2}  + 12w = 2880

{w}^{2}  + 12w  -  2880 = 0

(x + 60)(x - 48) = 0

This implies that,

w =  - 60 \: w = 48

The dimensions are positive, the width is 48 and the length is 12+48=60

8 0
3 years ago
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