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AveGali [126]
3 years ago
14

Divide the following polynomials. Write the answer in descending powers of a.

Mathematics
2 answers:
Aleks [24]3 years ago
7 0
The answer to this question is 5a^2-6a+20+(-175a+102)over(5a^2+6a-9)
vfiekz [6]3 years ago
7 0

Answer:

ddd

Step-by-step explanation:

Divide 5a2 + 6a - 9 into 25a4 + 19a2 - a - 78.


                               5a^2 -6a +20

                             -------------------------------------------------                    

   5a^2+6a-9        25a^4 + 0a^3 +19a^2 - 1a - 78

                             25a^2 + 30a^3 - 45a^2

                            ------------------------------------------------(subtract)

                                         -30a^3 +64a^2 -1a

                                         -30a^3 -36a^2 +54a

                            -----------------------------------------------(subtract)

                                                     100a^2 -55a  -78

                                                     100a^2 +120a - 180

                              ------------------------------------------------------

                                                                   - 175a +102

Quotient : 5a^2 -6a+20

Remainder : -175+102

Answer is : 5a^2 -6a+20 + \frac{-175a+102}{5a^2+6a-9}


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valkas [14]

\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

−9x−15y=−6

9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

5 0
3 years ago
A tree that is next to a telephone pole is 15 feet tall and casts a shadow 4 feet long.
alekssr [168]

Answer:

24ft is the length of the shadow of the telephone pole

Step-by-step explanation:

Well first what I did was divide 15 by 4 which equaled to 3.75, after that the question said that the telephone pole was now 90 feet tall so I just had to divide 90 by 3.75 and then 24 ft long was the final answer. I hope that helps

4 0
2 years ago
Isosceles trapezoid ABCD has legs If AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18, find the value of y
castortr0y [4]

Answer:

The value of y is y=15

Step-by-step explanation:

We have:

AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18

We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.

Here AB = CD

6y-3 = 7y-18

Combine the like terms:

18-3 = 7y-6y

15 = y

It means the value of y is  y=15....

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Triangle has sides that measure 33 cm, 65 cm, and 56 cm. Is it a right triangle? Explain
Orlov [11]
Yes, by Pythagoras: Larguest side² = other side² + other side² (65²=33²+56²).






3 0
3 years ago
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