factorise 343m^3 + 27n^3
Answers
answer:m3+27n3
Step-by-step explanation:
Rewrite
27
n
3
as
(
3
n
)
3
.
m
3
+
(
3
n
)
3
Since both terms are perfect cubes, factor using the sum of cubes formula,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
where
a
=
m
and
b
=
3
n
.
Hope it helps ☺️☺️☺️
Related Questions
OMG HELP MEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
78
Step-by-step explanation:
*6 on both sides
13*6=d/6*6
HELP WILL GIVE BRAINLIEST Triangle QRS and triangle WXY are similar. Which statement must be true?
Answers
Answer:
C.
Step-by-step explanation:
This is correct because the triangles are similar. Angle S is similar to Angle Y, and Angle R is similar to Angle X.
None of the others can be correct either.
Hope it helps!
Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.
Answers
X=44/7
Step-by-step explanation:
4x-8+3x=36
7x-8=36
7x=36+8
7x=44
X=44/7
what is the additive inverse of -15 and 15
Answers
Answer
-15
Step-by-step explanation:
PLEASE HELP!!!
Write a simplified equation to solve for X.
Using the equation, solve for x
Answers
Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
Answer:
x=40
Step-by-step explanation:
2x+100=180
2x=180-100
2x=80
x=40
PLEASE HELP ASAP
The table shows values for functions f(x) and GX(x) what is the solution to f(x) = g(x)
Answers
helpppppppppppppppppppppppp WILL MARK BRAINLIST
Answers
-(-7)^2 + 8(-7)
= -49 -56
= -105
Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of plane A is 200 mph and the speed of plane B is 300 mph the two planes are blank miles apart after one hour?
Answers
Answer:
The distance between them is 230.65 miles
Step-by-step explanation:
Here we use the Cosine formula
[tex]a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour[/tex]
Now the distance for one hour is
= 230.65 ÷ 1
= 230.65 miles
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answers
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answers
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack
Which value of x makes the value of the expression x - 11.5 a negative number?
Answers
Answer:
11
Step-by-step explanation:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answers
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
helppppppppppppppppppppppppppppppp
The volume of a cylinder is 72 71 cm. If the radius is 3 cm, what is the height of the cylinder?
0
3 cm
0
0
0
O A. 4 cm OB. 8 cm O C. 12 cm O D. 24 cm
0
0
Answers
Answer: 8 cm
Step-by-step explanation: 3^2 = 9 So, 72/9 = 8
24% students in a clan were absent in a day .If 38 students were present ,what is the total strength in the clan
Answers
Answer:
50 students
Step-by-step explanation:
24% students in a clan were absent in a day .
Hence, the Percentage of students present is calculated as:.
= 100 % - 24 %
= 76%
From the question, we know that:
If 38 students were present ,what is the total strength in the clan
The total strength of the clan = Total number of students. This is calculated as:
76% × x = 38 students.
76/100 × x = 38
76x /100 = 38
Cross Multiply
76x = 38 × 100
x = 3800/76
x = 50 students
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answers
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answers
20/2 is 10
The number is + or - 23
So 13 and 33
13
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answers
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Brian has saved five dollars in dimes quarters and half dollars she finds that she has 30 coins all together and there are four times as many quarters as there are half dollars how many dimes does Brian have
Answers
9514 1404 393
Answer:
20 dimes8 quarters2 half-dollarsStep-by-step explanation:
Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:
10d +25q +50h = 500 . . . . value of the coins, in cents
d + q + h = 30 . . . . . . . . . . . total number of coins
4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves
Using the last equation to substitute into the other two, we get ...
10d + 150h = 500
d +5h = 30
The second equation can be written as ...
5h = 30 -d
and the first can be written to facilitate substitution:
10d +30(5h) = 500
10d +30(30-d) = 500 . . . . . substitute for 5h
900 -20d = 500 . . . . . . . . . simplify
400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides
d = 20 . . . . . . . . . . . . . . . . divide by 20
Brian has 20 dimes.
Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió
Answers
Answer:
if you can transfer to englis i may be able to help
Step-by-step explanation:
Which sequence of transformations could be used to map triangle MNO onto M”N”O”?
O T(-2,4) ° ry-axis
O ry-axis •T(-2, 4)
O T(2,-4) • R0,180 degrees
O R0.180 degrees T(2,-4)
Answers
Answer:
Option D
Step-by-step explanation:
I dont really know but i think its D
Answer:
a
Step-by-step explanation:
Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?
Answers
Answer:
an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Step-by-step explanation:
As given ,
f(x) = x³ , g(x) = 9 , h(x) = 2x
Now,
f(2x) = (2x)³ = 2³.x³ = 8x³
⇒f(2x) = 8x³
Now,
[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]
⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]
∴ we get
f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
A point S( 8,-2) is reflected across the origin, Find the order pair of its image.
A. ( -8 , 2)
B. ( -8, -2)
C. (2, 8)
D. ( 2,- 8)
Answers
Answer:
the answer is B
Step-by-step explanation:
Do your best
Danny has a rectangular rose garden that measures 8m by 12.5m. One bag of fertilizer can cover 16m2. How many bags will he need to cover the entire garden?
Answers
Answer:
do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3
Step-by-step explanation:
Please help will give Brain
Answers
Determine the average rate of change from x = 0 to x = 4
Answers
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
Write as an algebraic expression.
1. the sum of m and 8
Answers
Answer: m+8 =
Step-by-step explanation:
xis directly proportional to y.
When x=21, then y=3.
a) Express x in terms ofy.
b) Find the value ofx when y is equal to 10.
Answers
21 = k x 3
k = 7
x = 7y
x = 7(10)
x = 70
16 cm 44.2 cm in percent
PLSS HELP!!
Answers
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answers
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)