Answer:
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 16 is the square of 4
Check : x4 is the square of x2
Factorization is : (x2 + 4) • (x2 - 4)
Equivalent expressions are expressions with equal values
The equivalent expression of [tex]\mathbf{x^6 - 16x^2}[/tex] is [tex]\mathbf{x^2(x + 2)(x - 2)(x^2 + 4)}[/tex]
The expression is given as:
[tex]\mathbf{x^6 - 16x^2}[/tex]
Factor out x^2
[tex]\mathbf{x^6 - 16x^2 = x^2(x^4 - 16)}[/tex]
Express x^4 as (x^2)^2
[tex]\mathbf{x^6 - 16x^2 = x^2((x^2)^2 - 16)}[/tex]
Express 16 as 4^2
[tex]\mathbf{x^6 - 16x^2 = x^2((x^2)^2 - 4^2)}[/tex]
Apply difference of two squares
[tex]\mathbf{x^6 - 16x^2 = x^2((x^2 - 4)(x^2 + 4))}[/tex]
Express 4 as 2^2
[tex]\mathbf{x^6 - 16x^2 = x^2((x^2 - 2^2)(x^2 + 4))}[/tex]
Apply difference of two squares
[tex]\mathbf{x^6 - 16x^2 = x^2(x + 2)(x - 2)(x^2 + 4)}[/tex]
Hence, the equivalent expression of [tex]\mathbf{x^6 - 16x^2}[/tex] is [tex]\mathbf{x^2(x + 2)(x - 2)(x^2 + 4)}[/tex]
Read more about equivalent expressions at:
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Mrs. Wilson ordered 6 pizzas. If she gave each of her guests ⅜ of a pizza, how many people got pizza?
Answer:
16 Person
Step-by-step explanation:
A= 6/(3/8) = 16 Person.
What is the average rate of change from week 2 to week 4?
Time in
Weeks
1
2.
3
4.
Number
of
Bacteria
200
400
800
1600
800 Bacteria per Week
400 Bacteria per Week
1200 Bacteria per Week
600 Bacteria per Week
Answer:
I do not know but u try hard
How do I work this out
9514 1404 393
Answer:
no, it is good for 2 weeks (almost 3)
Step-by-step explanation:
The volume of the pool is ...
V = LWH
V = (20 m)(8 m)(1.8 m) = 288 m³
Then the amount of chlorine powder needed for 1 week is ...
(300 g/(50 m³)) × (288 m³) = 1728 g
A box of 5000 g holds enough chlorine for ...
(5000 g)/(1728 g/treatment) = 2.89 treatments
A box of chlorine powder is enough for 2 weeks, not 4.
Find the missing angle.
65
50
60
35
Answer:
80 degrees
Step-by-step explanation:
A line is 180 degrees, so in this case 50 degrees+_+_ =180 degrees. (In this problem, I'm trying to find the bottom right of 50 degrees first. ) We get 65 for the first corner. And since we know that a triangle is equal to 180 degrees, we add 65+35+_=180 degrees, and we get 80 degrees.
The missing angle is 70°
What is a Triangle?
A triangle is a polygon with three edges and three vertices.
The sum of the angles inside a triangle is 180°
Given data ,
Let the two triangles be Δ ABC and ΔCDE
From the figure we can see that
In Δ ABC , the sum of the angles inside a triangle is 180°
Let the angle to be calculated in the first triangle be x
So ,
65° + 60° + x = 180°
x + 125° = 180°
So , x = 55°
Now , the angle on a line is 180°
Let the angles of the second triangle be a , b and 35°
So , x + 50° + a = 180°
Substituting the value of x in the above equation , we get
55° + 50° + a = 180°
a + 105° = 180°
a = 75°
Now , to calculate the required angle b ,
The sum of the angles inside a triangle is 180°
So , 75° + 35° + b = 180°
110° + b = 180°
And , b = 70°
Hence , the missing angle is 70°
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CH4 + 2O2 > CO2 +2H2O
If 6.3 moles of CO2 were produced how many moles of O2 were used
Answer:
The reaction is CH
4
+2O
2
→CO
2
+2H
2
O.
At room temperature, water will condense to form liquid water.
1 mole of methane reacts with 2 moles of oxygen to form 1 mole of oxygen.
10 ml (0.445 moles) of methane will react with 20 ml (0.89 moles) of oxygen to form 10 ml (0.445 moles) of carbon dioxide.
Hence, the resulting mixture will contain 10 ml of unreacted methane and 10 ml of carbon dioxide.
The total volume of the mixture will be 20 ml.
Step-by-step explanation:
A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. Each replicated organism also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven?
Answer: at hour 7, there is 19531 total organisms
Step-by-step explanation:
answer on edge
Answer:
19,531
Step-by-step explanation:
on EDG 2021
Round to the nearest hundredth
Answer: 0.14
Step-by-step explanation:
5 / (25+5+5)
Select the correct answer from the drop-down menu.
Which is the correct math symbol to compare these numbers?
6
3
Step-by-step explanation:
wheres pic ....... ...................
Increase 3 times m by
2
Hi there!
Multiply terms:
[tex]3[/tex]·[tex]2=6[/tex]
Percentage of term:
[tex]3=100%[/tex]
[tex]2=100[/tex]÷[tex]3[/tex]·[tex]2=66.334[/tex]
[tex]6=200[/tex]
Fraction form:
[tex]\frac{3}{3}[/tex]·[tex]2=\frac{6}{6}[/tex]
What is a base-ten number?
1 2 3 4 5 6 7 8 9
are base-ten numbers,
Hope this helps! :D
Answer:
All the numbers we use are in base 10 already.
There are 840 registered voters in Cloud County. In the last election, 60% of the
registered voters anually voted. How many people in Cloud County voted in the last
election?
Answer:
504 people
Step-by-step explanation:
Answer:
Step-by-step explanation:
840=100%
780=80%
504=60%
0=40%
Round 51.78 to the greatest place
Answer:
51.78 is rounded to 52
Answer:
it would be rounded up to 52
Dimitri scored 44% of the points in a two person basketball game against another team his partner score the rest of the points. If Dimitri score 22 points how many total points was the game
Answer:
50
Step-by-step explanation:
44% of 50 is 22.
Answer: is 50
Step-by-step explanation:
Just listen to the other awnswer
Use the Addition Property of Zero to rewrite the statement.
12-(g+0)
Answer:
12-g
Step-by-step explanation:
Answer:
12-g
Step-by-step explanation:
what is the solution to the sstem of equations graphed below y=-2x -3 y= 3x+2
A. (-1,-1)
B.(-1,1)
C.(0,-3)
D.(0,2)
Answer:
It has no (0) solutions.
Step-by-step explanation:
If you graph the lines, they are parallel, therefore there is no number where they connect.
Martin just turned 25. For his birthday, he'd like to invest $3,000 into a bond that
earns 7% interest. How many times will Martin's investment double before he
withdraws it at the age of 70?
Answer:
Step-by-step explanation:
please help (geometry) only answer if you know :(
Write the equation of the line in slope-intercept form
that passes through the points f(5) = 3 and
f(4) = -3
PLEASE HELPPPPPP!!!!!!!!!!!!!!!
Answer:
a ) 2¹/2
Step-by-step explanation:
plz follow me
plz plz
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 1x - 25
Step-by-step explanation:
How do I Write this ratio in simplest form?
10 inches to 1 yard
Answer:
10 over 1
Step-by-step explanation:
Answer:
10 to 1
Step-by-step explanation:
its common sense
Find the values of x and y
(5y+38)
(8x+26)
3x
Which equation can be used to find the area of the blue triangle?
A) A=2(7)(12)
B) A= 1/2 (7)(12)
C)A=2(7²)(12²)
D)A= 1/2(7²)(12²)
Answer:
The answer is D. A=1/2(7 to the power of 2) 12 to the power of 2)
Step-by-step explanation:
r= 6.6 cm
Calculate the circumference of the circle,
Answer:
the circumference is 41.47
Step-by-step answer:
tbh i looked it up it hope this helps tho :)
A sprinkler waters in a circular pattern, spraying water out 3.2 meters. How much surface will it water
Answer:
The Area of a circle is
πr2=808.64
(3.14)r2=808.64
Divide both sides by 3.14
r2=257.5286624
Square root both sides to get radius
r=16 feet
Step-by-step explanation:
Solve: |x−6|+7≥−1. Write your solution in interval notation.
Answer:
-2 ≤ x ≤ 14
Step-by-step explanation:
x - 6 + 7 ≥ -1
x + 1 ≥ -1
x ≥ -2
-(x - 6) + 7 ≥ -1
-x + 6 + 7 ≥ -1
-x + 13 ≥ -1
-x ≥ -14
x ≤ 14
Help cuz I’m stuck..steps plz
Answer:
A
Step-by-step explanation:
please help me out with this one easy question
Answer:
8 to the second power
Step-by-step explanation:
length times width = area, so since length and width is 8, 8*8 would be the answer
Angle 1 and Angle 2 are supplementary. If m∠1 = 27, what is m∠2?
Answer:
the answer is m<2 = 153
Q4 Which of these is the highest number?
390.40
389.77
389.90
390.25