Answer:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
This can be written as the difference of 2 squares:
(a^4 - 8a^2b^2 + 16b^4) -81
= (a^2 - 4b^2)^2 - 81
=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]
= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
The factorized form of the given expression will be as:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The expression is given in the question as:
(a⁴ - 8a²b² + 16b⁴) - 81
We have to determine the factorized form of the given expression
As per the given question, the required solution would be as:
(a⁴ - 8a²b² + 16b⁴) - 81
This can be written as the difference between 2 squares:
⇒ (a² - 4b²)² - 81
⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]
⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
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Plssss helpppp!!!!!!!
Answer:
The answer is 7600 because in order to reach negative coordinates you have to travel the length to 0 then down the scale to -1, -2, -3, and so on and vice versa to get to positive coordinates.
#2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)
Write the explicit formula.
• Determine the 15th term of the sequence?
Answer:
see explanation
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 200 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{100}{200}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 200 [tex](\frac{1}{2}) ^{n-1}[/tex] ← explicit formula
The 15 th term is then
a₁₅ = 200 × [tex](\frac{1}{2}) ^{14}[/tex]
= 200 × [tex]\frac{1}{16384}[/tex]
= [tex]\frac{200}{16384}[/tex] ← divide numerator/ denominator by 8
= [tex]\frac{25}{2048}[/tex]
What is the slope of the line through (-5,10) and (1,24(
Answer:7/3
Step-by-step explanation:
i went on a website and got the answer
What is the slope of the equation 3x - 4y = 32?
-3/4
-8
3/4
8
Answer:
y=34x−8
Step-by-step explanation:
A teacher starts on a salary of $25000. each year the teacher gets a pay rise of $1500. the teacher is employed for 30 years.
a)Find their salary in their final year
b)Find the total they have earned during their teaching career.
c)If the inflation rate is on average 1.5% each year, find the real value of their final salary at the end of their final year in terms of the value at the beginning of their career, giving your answer to the nearest $100.
Answer:
A bachelor's degree with a licensure in your state is enough to be a teacher, but it is also the most basic qualification and will earn you the most basic salary. Teachers looking to increase their salary may benefit from a ...
The solution of the equation is —
Answer:
x=5
Step-by-step explanation:
4(x+3)=32
4x+12=32
4x+12-12=32-12
4x=20
x=5
A shirt is priced at $12. What is the price after a 15% discount and 7% sales tax?
the total, end price is $10.91
15% of 12 = 1.8 which makes it 10.2
7% of 10.2 = 0.714 which makes 10.91
the end price is $10.91
May I have brainliest please? :)
Ms. Buback is competing in a race in which she both runs and rides a bike. She runs 5 kilometers in 0.5 hours and rides her bike 20 kilometers in 0.8 hours. At the rate given, how many kilometers can she bike in one hour?
Answer:
25.02 km/h
Step-by-step explanation:
60 min × 0.8 = 48 min
20 km÷48 = 0.417 km/min
0.417 × 60 = 25.02 km
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
The answer is 59.5.
Step-by-step explanation:
Add 35+70%.
Denis let go of a penny at the top of a well and the penny fell straight down to the bottom of the well the top of the well was 1 1/2 meters above ground . The bottom of the well was 11 meters below ground .what does -12 1/2 tell us
Answer:
The distance between the top of the well and the bottom of the well was 12 1/2
Step-by-step explanation:
(a.k.a B) i did it and got it right :)
Round 382,713 to the neartst ten thosand
Step-by-step explanation:
it would be 380,000 I believe
Answer:
382710
Step-by-step explanation:
3/4 divided by 1/5
Please answer soon
Answer:
15
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
30 points each answer Math
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply.
Choices are in picture. Please only real answers.
Answer:
B and D (another answer but not sure about the other one)
Answer: A and B
Step-by-step explanation: I just did it
In below diagrams, line BC is parallel to DE.
Answer:
DAF= 73
Step-by-step explanation:
To find opposite angles like BAC and DAF take 180 minus the given angle. For example to solve this, 180-107= 73. Hope this helps <3.
Anybody know the answer
Answer:
10) 15,794
11) 20,306
Step-by-step explanation:
10) Sin(33) = x÷29
Multiply with 29 on both sides.
x = Sin(33) × 29 = 15,794
11) Tan(55) = 29÷x
Multiply with x on both sides.
xTan(55) = 29
Divide with Tan(55) on both sides.
x = 29 ÷ Tan(55) = 20,306
Find the slope of the line that contains (7, -4) and (3, -3).
Answer:-1/4
Step-by-step explanation:because that is the answer i got
Answer:
1 , 3
Step-by-step explanation:
Try using rise over run
chuck was chopping wood.when he was done he had 25 kg of firewood what was most likely the weight of the wood before he chopped it
Answer:
The weight of the wood before he chopped it is 245 N
Step-by-step explanation:
The law of conservation of mass states that for a given isolated system, mass (or matter) can not be created neither can it be destroyed, but it can be transformed into different forms
Therefore, whereby all the wood Chuck chops is taken as firewood, (wood which is dry is about 100% consumable as firewood) the mass of the wool before he chopped the wood = The mass of the firewood he had after chopping the wood = 25 kg
Weight = Mass × The acceleration due to gravity, g
g = Constant = 9.8 m/s²
The weight of the wood before he chopped it = 25 kg × 98 m/s² = 245 N.
Answer:
as much as it wants
Step-by-step explanation:
Please give the correct answer and the solution if you can
Answer:
the answer is b the solution is 6
The measured of angle C is ___ degrees, and the measure of angle D is ___ degrees
Answer:
angle c is 40° where angle d is75°
if ordered pair (k, -3) lies on the graph of 5x - 2y = -24 then what is the value of k
Answer:
given,
(x y)= (k -3)
so ,
5x- 2y= -24
or, 5k +6 =-24
or,5k =-24 - 6
or,5k= -30
therefore,
k=-6
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
Answer:
486 centimeters³
Step-by-step explanation:
Surface area of a cube = 6s²
Where,
s = side length
Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
s = 9 centimeters
Surface area of a cube = 6s²
= 6 × 9²
= 6 × 81
= 486 centimeters³
Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³
Ms. Semuskie is buying bagels for her family. How many bagels can she buy for 50$
Answer:
40 bagels
Step-by-step explanation:
Let us assume that the cost of each bagel is $1.25
We need to find how many bagels she can buy for $50.
Let she can buy x bagels.
[tex]1.25\times x=50\\\\x=\dfrac{50}{1.25}\\\\x=40[/tex]
Hence, she can buy 40 bagels for $50.
Tim buys a torch and a battery. The torch costs 11 times as much as the battery. Tim pays with a £10 note and gets £4.84 change. How much did the battery cost?
Sarah and her friends ordered a pizza. Sarah ate 5 1 of the pizza. Her friend John ate 20% and her friend Jules ate half of the pizza. How much pizza is left over?
Given:
Sarah ate [tex]\dfrac{1}{5}[/tex] of the pizza.
Her friend John ate 20%.
Her friend Jules ate half of the pizza.
To find:
The remaining part of the pizza.
Solution:
We have,
Sarah ate = [tex]\dfrac{1}{5}[/tex] of the pizza.
John ate = [tex]20\%[/tex] of the pizza.
= [tex]\dfrac{20}{100}[/tex] of the pizza.
= [tex]\dfrac{1}{5}[/tex] of the pizza.
Jules ate = [tex]\dfrac{1}{2}[/tex] of the pizza.
Total part of a pizza they ate = [tex]\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{2}[/tex]
= [tex]\dfrac{2+2+5}{10}[/tex]
= [tex]\dfrac{9}{10}[/tex] of the pizza.
Now, the remaining pizza is
Remaining pizza = 1 - Total part of a pizza they ate
= [tex]1-\dfrac{9}{10}[/tex] of the pizza.
= [tex]\dfrac{10-9}{10}[/tex] of the pizza.
= [tex]\dfrac{1}{10}[/tex] of the pizza.
Therefore, the remaining pizza is [tex]\dfrac{1}{10}[/tex] of the pizza.
Solve for X-B(5,0.85), for x = 3.
Answer:
Solve for X-B(5,0.85), for x = 3.*25*
delete my question if it's wrong
The value of the expression is,
X = 0.138
We have to give that,
An expression is,
⇒ X ~ B (5, 0.85)
for, x = 3
Now, simplify the expression for x = 3 as,
X = ⁵C₃ (0.85)³ (1 - 0.85)³⁻¹
X = (5!/3!2!) (0.85)³ (1 - 0.85)²
X = 10 × (0.85)³ (0.15)²
X = 0.138
Hence, The value of the expression is,
X = 0.138
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how do you solve this equation k=4L-7
Answer:
l=k/4+7/4
Step-by-step explanation:
If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure
Answer:
[tex]DG = 26[/tex]
[tex]GE = 26[/tex]
[tex]DF = 15[/tex]
[tex]CH = 14[/tex]
[tex]CE = 28[/tex]
Step-by-step explanation:
The figure has been attached, to complement the question.
[tex]DE = 52[/tex]
[tex]FC = 15[/tex]
[tex]HE = 14[/tex]
Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:
[tex]DF = FC[/tex]
[tex]CH = HE[/tex]
[tex]DG = GE[/tex]
Solving (a): DG
If [tex]DG = GE[/tex], then
[tex]DE = DG + GE[/tex]
[tex]DE = DG + DG[/tex]
[tex]DE = 2DG[/tex]
Make DG the subject
[tex]DG = \frac{1}{2}DE[/tex]
Substitute 52 for DE
[tex]DG = \frac{1}{2} * 52[/tex]
[tex]DG = 26[/tex]
Solving (b): GE
If [tex]DG = GE[/tex], then
[tex]GE = DG[/tex]
[tex]GE = 26[/tex]
Solving (c): DF
[tex]DF = FC[/tex]
So:
[tex]DF = 15[/tex]
Solving (d): CH
[tex]CH = HE[/tex]
[tex]CH = 14[/tex]
Solving (e): CE
If [tex]CH = HE[/tex], then
[tex]CE = CH + HE[/tex]
[tex]CE = 14 + 14[/tex]
[tex]CE = 28[/tex]
PLEASE EXPLAIN 16a⁴-25???
Which of the following statements are true of 12 and -12?
They are the same distance from zero.
They are a zero pair.
They are equivalent.
They are opposites.
Answer:
your answer would be A.
Step-by-step explanation:
They are the same distance from zero.
Answer:
They are the same distance from zero
zero pairs
and opposites
I need help please!!!!!!