Factor the given expression using the GCF monomial please!
I actually need to understand this so please show your work as well, thank you!
Answers
Answer:
9a^4b^10 ( 4 - 9a^12b^20)
Step-by-step explanation:
The greatest common factor of the two terms is 9a^4b^10
You can now remove the greatest common factor outside the brackets.
Inside the brackets, you place the value obtained by dividing 36a^4b^10- 81a^16b^20 by 9a^4b^10
That is = 4 - 9a^12b^20
Please note that the laws of indices i used for the above division is: n^a divided by n^b = n^(a-b)
Now, the factorised answer for your question = 9a^4b^10 ( 4 - 9a^12b^20)
Hope thos helps
Related Questions
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 378 milliliters of the drug, how many milliliters of compound B are needed?
Answers
Answer:
216 milliliters
Step-by-step explanation:
Since, there are 3 milliliters of compound A used for every 4 milliliters of compound B.
Therefore,
A : B = 3 : 4
Let the common multiplier of the given ratios be x.
So, A = 3x & B = 4x
Since, chemist wants to make 378 milliliters of the drug.
Therefore, total volume of drug = 378 milliliters.
3x + 4x = 378
7x = 378
x = 378/7
x = 54
4x = 4*54 = 216
Thus, 216 milliliters of compound B are needed.
translate the phrase into a variable expression. use the letter m to name the variable. if necessary, use the asterisk for multiplication and the slash for division. the total number of minutes billed on the phone bill split between 3 phones
Answers
Answer:
m/3
Step-by-step explanation:
fghbzsvbftgzgbtefnysffafbydfs
if 14 men can cultivate 42acres of land in 18weeks, how many weeks will 21 men working at the same rate take to cultivate 56 acres of land
Answers
Answer:
16 weeks
Step-by-step explanation:
HELP HELP HELP HELP JUST TWO SMALL THINGS
put down whatever pls give me actual answers
Answers
Answer:
for what question i dont see the quetsion
Step-by-step explanation:
please answer this for me?
Answers
Answer:
abkjjnjnnnnjxnjxbksbx
Step-by-step explanation:
Lol idont know sorry
A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.
Answers
Answer:
The truck can paint 32 miles in 12 hours.
Use the function below to find F(3).
F(x) = (1/5)^x
Answers
We have 1*1*1 for the numerator and
5*5*5 for the denominator.
A triangle has angle measurements of 41°, 41°, and 98°. What kind of triangle is it?
Answers
Answer:
isosceles triangle?????????????????.................
Isosceles apparently lol.
heeeeeeeeeeeeeeeelp solve the following Q
Answers
Answer:
[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]
Step-by-step explanation:
Solving it by mid-term break method:
[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
Step-by-step explanation:
We'll first factorize the quadratic equations by finding their zero-points:
[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]
Now we can use this to simplify the whole division:
[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container
Answers
Answer:
36 number of 2/3-pint bottles can be filled from a 24-pint container
Step-by-step explanation:
Volume of the container is 24 pint
Volume of the bottle is 2/3 pint
Number of 2/3 pint bottles that can be filled from 24 pint container is
[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]
36 number of 2/3-pint bottles can be filled from a 24-pint container
The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?
A. 6 + 4 + 18
B. 2(6 + 4 + 18)
C. 32(18)
D. 4(6)(18)
Answers
Answer:
c
Step-by-step explanation:
Answer:
guys its D
Step-by-step explanation:
Jeffrey multiplies one side of the equation 34+116=150 by
a number m. What does he need to do to balance the
equation?
Answers
Answer:
multiply the 150 on the other side by 'm' also
(34+116)m = 150m
Step-by-step explanation:
equations must maintain balance
Solve the following:
⅜x - 16 = 16
Answers
Answer:
x = 256/3
Step-by-step explanation:
3/8x - 16 = 16
Add 16 to both sides
3/8x = 32
Multiply 8 by both sides
3x = 256
Divide 3 by both sides
x = 256/3 or 85.3333333
A quadratic function is shown on the graph below.
Which statement BEST describes its domain and range?
PLEASE HELP ME! THANK YOU!
Answers
The domain is the input value which is the x values
Because the graph continues off the page in a U shape the domain is any real number.
The bottom of the U is at x = 3 and y = 2 so the range is any number greater than or equal to 2
The answer is the first choice.
Your parents take you to dinner at your favorite restaurant for your birthday. The cost of the
meal is $75. The restaurant adds a 10% tax to the meal. What is the total cost of the meal
including tax?
$
Answers
Answer:
$82.5
Step-by-step explanation:
75x 0.1 = 7.5
75 + 7.5 =
$82.5
(WIll mark as brainliest) Which one of these graphs is a function and why and why not?
Answers
you’re welcome ! have a great night/day .
Find the length of the third side. If necessary, round to the nearest tenth. 11 11
Answers
Answer:
If we are talking about a triangle with two sides being of equal length: 11, then you can use Pythagorean Theorem to solve.
Step-by-step explanation:
Imagine the sides labeled as a, b, and c. a and b are both 11. We have to find the value of c. we can do this by writing a^2+b^2=c^2. so 11^2+11^2=c^2. All that is left to do is find the square root of c^2 and you are left with your answer.
Some one help ASAP!!
Answers
b/2+1=5
solve this equation
Answers
Answer:
b=8
Step-by-step explanation:
b/2+1=5
b/2=5-1
b/2=4
b=4×2
b=8
What is the percentage change from 5 to 8?
Answers
Answer:
60%
Step-by-step explanation:
8-5=3
3/5=0.6 and 0.6 = 60%
so 3 is 60% or 5
so 5+3 is a 60% increase
Help I need this quick
Answers
2 end Triangles
=2x(1/2bh)
=2x1/2x4x6
=24
2 side rectangles
=2(lw)
=2x5x13
=130
Bottom rectangle
=6x13
=78
Total = 24 + 130 + 78 =232
Can someone help (this is 12 year old math)
Answers
Answer:
Then why are you even doing that?
Step-by-step explanation:
Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score?
Answers
(|currentavg-initialaverage|/initialavg)*100 gives percent difference so:
(|72-80|)/(80)*100
gives a 10 percent difference (decrease)
72 X%
X%=72•100/80
X=90 %
100-90=10%
Decrease in Kathleen’s average score is 10%. Good luck.
The perimeter of a rectangle is 20 cm. The length of the rectangle is 3 cm less than 2 1/4 times the width. Find the dimensions of the rectangle
Answers
Answer:
the dimension of the rectangle is 4 cm and 6 cm respectively
Step-by-step explanation:
The computation of the dimension of the rectangle is shown below:
Given that
The perimeter of the rectangle is 20 cm
The width be x
So, the length would be 2 1 ÷ 4 x - 3 i.e. 9 ÷ 4x - 3
Now as we know that
Perimeter of the rectangle = 2 (length + width)
20 = 2 (9 ÷ 4x - 3 + x)
20 = 9 ÷ 2x - 6 + 2x
20 = 4.5x - 6 + 2x
26 = 6.5x
x = 4 cm
Now the length would be
= 9 × 4 ÷ 4 - 3
= 6 cm
Hence, the dimension of the rectangle is 4 cm and 6 cm respectively
Please help me! I'm stuck and I don't know what to do!!! By the way, please don't insert a link, as I cannot reach them.
Answers
Answer:
study more so you can understand
Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.
HJ =
JE =
Answers
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
Answer:
HJ = 8
JE = 4
Step-by-step explanation:
Your welcome.
please please help!!, please show help if possible :D
Answers
A boy weighs 27 kilograms. Hoy much does he Weigh in pounds?
Answers
Answer:
59.5248
Step-by-step explanation:
Brad swims 4 laps every 6min how long does it take him to swim 14 laps?
Answers
Answer:
21 minutes
Step-by-step explanation:
4 goes into 14 three times which is 18 minutes. We need 2 more laps four for 6 can be 2 for 3.
A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
A. 2 feet
B. 5 feet
C. 10 feet
D. 14 feet
Help ASAP!
Answers
Answer:
C) 10 feet
Step-by-step explanation:
h² = 8² + 6² = 64 + 36 = 100
h = √100 = 10