Hi. ITS URGENT.
I need help with No 5 and 7 (see image)
Please show workings
Answers
Answer:
5. a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Step-by-step explanation:
(a+b)^3
= (a+b) (a+b) (a+b)
={(a+b) (a+b)} (a+b)
={a(a+b) + b(a+b)} (a+b)
=(a^2 + ab + ab + b^2) (a+b)
=(a^2 + b^2 + 2ab) (a+b)
=a^2(a+b) + b^2(a+b) + 2ab(a+b)
=a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2
=a^3 + b^3 + 3a^2b + 3ab^2
=a^3 + b^3 + 3ab(a+b)
(a+b)^3 = a^3 + b^3 + 3ab(a+b)
(a+b)^3 - 3ab(a+b) = a^3 + b^3
a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Hope this helped!
Answer:
I am just giving the expansion, so that you can substitute the values and solve it
Related Questions
Please simplify: 5(2n + 7)
Answers
So, you have to multiply 5 with all the numbers that are inside the parentheses. First, 5•2n is 10n and than 5•7 is 37. And the final answer is 10n+35. That’s the final answer. You don’t need to add 10n and 35 because 10 have a (n) a letter and 35 doesn’t, it’s different. :) hope you understand.
Given the two congruent triangles below, choose which congruence theorem
can be used to prove the triangles are congruent.
A) AAS
C) ASA
B) SSS
D) SAS
Answers
Answer:
It is SAS.
Step-by-step explanation:
Because I just know it is correct.
John ate 40% of the candies in a bag. If John ate 20 candies , how many candies were total in the bag ?
Answers
Answer:
50
Step-by-step explanation:
There are 50 candies in the bag.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
John ate 40% of the candies in a bag.
If John ate 20 candies.
let the total number of Candies be x.
So, 40% of x = 20
40/ 100 x = 20
x = 2000/ 40
x= 50
Hence, there are total 50 Cadies.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
There are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday. Which expression represents the total number of miles that will be run by all the members in the group? 5×(4×2+3+2) 5×(4×2+3)+2 [5×(4×2+3)]+2 5×[4×(2+3+2)]
Answers
Answer:
140 miles
Step-by-step explanation:
Answer:
140 miles I think
Step-by-step explanation:
B is the midpoint of AC and D is the midpoint of CE. Solve for x,
given BD - 3x + 3 and AE = 5x + 11.
PLEASE HELP FOR GEOMETRY
Answers
Step-by-step explanation:
Required Answer:-ATQ[tex]{:}\longrightarrow[/tex][tex]\sf 2BD=AE[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2 (-3x+3)=5x+11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -6x+6=5x+11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -6x-5x=11-6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -11x=5 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{-11}}[/tex]
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
Midline BD is half the length of base AE, so we have ...
2BD = AE
2(3x +3) = 5x +11
6x +6 = 5x +11 . . . eliminate parentheses
x = 5 . . . . . . . . . subtract 5x+6
write 0.00000000018 in a scientific notation
Answers
Answer:
[tex]1.8*10^{-10}[/tex]
Step-by-step explanation:
To find the number in scientific notation you want to find how many times you have to move the decimal to get the decimal to be right after the first non-zero number. If you move to the left the exponent is positive and if you move it to the right the exponent is negative. The answer would be [tex]1.8*10^{-10}[/tex].
A chain has 47 links. 13 link from one end is rusted. From the other end 17 link is also rusted. How many links lie between these tw rusted links?
Answers
Answer:
17
Step-by-step explanation:
Answer:
17 links
Step-by-step explanation:
1. 13 Links and 17 links are rusted. Since we need to find out the number of links that are not rusted, we need to add 13+17.
a. 13 + 17 = 30
2. Now since we added the number of lines rusted, we now should subtract the ones rusted and the one not rusted to get the answer.
a. 47-30 = 17
FINAL ANSWER: 17
On a coordinate plane, a straight line with a positive slope begins at point (0, 50) and ends at point (5.5, 600).
Which scenario is most likely the one shown on the graph?
1.) the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills
2.) the total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles
3.)the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it
4.) the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce
Answers
Answer:
The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Kenny went golfing with his dad. Kenny had a score
of -2 and his dad had a score of +8. How many more
shots did Kenny’s dad take?
Answers
Answer:
10
Step-by-step explanation:
just trust me
HELP!! ILL MAKE YOU BRILLIANT PLEASE!
Answers
Answer:
the first third fourth and last one Step-by-step explanation: and btw we know your not a girl your just a guy sitting behind a chair messing around with the most helpful website in the world
Step-by-step explanation: #karma
you took my points and didnt even try to put a answer thats why im letting you experience karma treat people the way you wish to be treated
have u ever seen 2 pretty besfrens??
Answers
yea once
they ain't friends no more
bc I stole one
and now there ain't 2 pretty best frens no more
HELP ME PLZZ I NEED HELP WITH THIS!!
Answers
Answer:
A
Step-by-step explanation:
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
B.
Reason
because 0.296 is non-repeating and non-terminating.,
and , 0.98888... is repeating and non-terminating.
And on converting both of these in p/q form, they will be rational number.
7 inches more than normal as an integer
Answers
Answer:
I'm confused
Step-by-step explanation:
what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism
Answers
Answer:
A) rectangular prism
Explanation:
The base is a rectangle, not a pentagon nor hexagon. So B and D are out.
The difference between a prism and a pyramid is the shape.
Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.
There is no pointy top on the object, so it is a rectangular prism.
Connecting the dots question
Answers
it's the 3rd one.
Step-by-step explanation:
start with the bottom point of the top triangle and go up left, across, down, then straight down to the bottom triangle. then you can go left or right to connect it.
Twelve hundred dollars ($1200) is divided among four sisters so that each gets $100 more than her next-youngest sister. How much will the two middle sisters each receive?
Answers
Answer:
The two middle sisters will each receive $250 and $350 respectively
Step-by-step explanation:
Let
The 4th sister = x
The 3rd sister = 100 + x
The second sister = 200 + x
The first sister = 300 + x
Total amount to share = $1,200
x + (x + 100) + (x + 200) + (x + 300) = 1,200
x + x + 100 + x + 200 + x + 300 = 1,200
4x + 600 = 1,200
4x = 1,200 - 600
4x = 600
Divide both sides by 4
x = 600/4
= 150
x = $150
There two middle sisters are:
The 3rd sister = 100 + x
= 100 + 150
= $250
The second sister = 200 + x
= 200 + 150
= $350
The two middle sisters will each receive $250 and $350 respectively
The 4th sister = x = $150
The first sister = 300 + x
= 300 + 150
= $450
can someone write me the equation please???
Answers
Hope this helps
Please help me with this
Answers
Answer:
6450
Step-by-step explanation:
Select from the drop-down menus to correctly complete the sentence
Answers
9514 1404 393
Answer:
factors: (x +5) and (2x -1)
zeros: -5 and 1/2
Step-by-step explanation:
The factorization can be aided by considering the factors of ac=2·(-5) that have a sum of b=9.
-10 = -1×10 = -2×5
The sums of these factors are ...
-1+10 = 9 (the pair we want), and -2+5 = 3
This means we can rewrite the function as ...
g(x) = 2x² +10x -x -5
and factor by grouping.
g(x) = (2x² +10x) -(x +5)
g(x) = 2x(x +5) -1(x +5) = (2x -1)(x +5)
The factors of g(x) are (x +5) and (2x -1).
__
The zeros of the function are the values of x that make these factors be zero.
x+5 = 0 ⇒ x = -5
2x -1 = 0 ⇒ 2x = 1 ⇒ x = 1/2
Toy Emporium is having its annual sale. All items are marked with a 40 percent discount. Find the discounted price for each item and round to the nearest hundredth.
Motorized train for $9.99 =
Doll house for $12.99 =
Building blocks for $5.69 =
Answers
Answer:
$9.99
$12 99
$5.69
Step-by-step explanation:
the answer there is not any number in hundred place value
The sides of a rectangular room are perpendicular to each other.
If these sides measure 10m and 12m respectively. Find the total
area of the carpet needed to cover the floor of the room?
Answers
Answer:
120 m^2
Step-by-step explanation:
Length of the room = 10 m
Breadth of the room = 12 m
We know that, Area = Length * Breadth
Hence,
Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2
The missing angle of (3x-5)
Answers
Answer: 22
Step-by-step explanation:
(7x+5) + (3x-5) + 90 = 180
10x + 90 =180
-90 -90
10x =90
_ _
10 10
x = 9
3(9)-5
27-5
22
To find the missing angles of the triangle we must first make an equation using what we know. A triangles sum is equal to 180 degrees, and a box indicator represents a 90 degree angle. With that we do this,
(7x+5)+(3x-5)+90=180
7x+5+3x-5+90=180
7x+3x+90=180
10x+90=180
10x=180-90
10x=90
10x/10=90/10
x=9
Now we find each individual missing angle,
(3x-5)
3(9)-5
27-5
22 degrees
(7x+5)
7(9)+5
63+5
68 degrees
Check to make sure it equals 180 degrees
22+68+90=180
Let p(x) = -2x - 9. If p(x) = -19, find x.
Answers
Answer:
x=5
Step-by-step explanation:
Step 1: Flip the equation.
−2x−9=−19
Step 2: Add 9 to both sides.
−2x−9+9=−19+9
−2x=−10
Step 3: Divide both sides by -2.
Exact Form:
x = 9/17
Decimal Form:
x = 0.52941176…
Edit: "but what are the steps to get 9/17"
1. Move all terms containing x to the left side of the equation.
2. Divide each term by −17 and simplify.
n(A)=10
n(B) = 12
n(AUB) = ?
Answers
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33
hi i really need help!!
Answers
Answer:
GH = 12, JH = 8, GJ = 10.6, your answer is the first choice
Step-by-step explanation:
Mid-segment theorem basically means it's like cut in half so just apply that logic to the entire thing:
DG = GF and IH = HF
DI length, 24, divided by two, because half, equals 12 so 12 = GH
JH is DF divided by two so basically 16/2 which is 8 which also equals DG
GJ = IH because like I said half half theory
Essentially, all the parallel lines are halves of each other.
GH = 12, JH = 8, GJ = 10.6, your answer is the first choice
Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?
Answers
answers
105= 5×5×5
Step-by-step explanation:
priya is wrong because 105 factorism is 5×5×5
Answer:
105= 5×5×5
Step-by-step explanation:
Priya is wrong because 105 factorism is 5×5×5
June, Gavyn and Alex share some sweets in the ratio 2:2:1. June gets 14 sweets. How many did Alex get?
brainlest for best answer
Answers
Hope this helps, Also happy holidays!!
Find f(-3) when f(x) = -x2 + 1
A)
-10
B)
-8
C)
7
D)
8
Answers
Answer:
f(-3) = -8
Step-by-step explanation:
f(-3) = - x^2 + 1f(-3) = - (-3)^2 + 1f(-3) = - (9) + 1f(-3) = - 9 + 1f(-3) = -8Bruce hiked 8 miles in 2 hours. At this same rate, what is the number of miles Bruce could hike in 7 hours?
Answers
Answer:
28 miles
Step-by-step explanation:
8miles/2 hours = x miles/7 Hours
2x=56
x=28
Answer:
28
Step-by-step explanation:
8/2=4
4 times 7 =28
I need help finding the domain
Answers
Answer:
[-8, 8]
Step-by-step explanation:
The domain is the x values that the equation/line covers.
The line starts at -8 and ends at 8. We use brackets instead of parenthesis since the circles are closed and not open.