Answers
[tex]R.H.S\\\\= (a+b)(a^2-ab +b^2)\\\\=a^3-a^2b +ab^2+ba^2-ab^2+b^3\\\\=a^3+b^3\\\\=L.H.S\\\\\text{Hence, proved.}[/tex]
Related Questions
Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
Answers
Answer:
AC = 55°
Step-by-step explanation:
In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.
AC + AB + BD = CD
2AC +80 = 170
AC = 110/2 = 55
The measure of arc AC is 55°.
Answer:
AC = 55°
Step-by-step explanation:
because the measure is part of CD. Hope this helps!
A bowl contains 675 sweets which are coloured either red, blue or green.
The ratio of red sweets to blue sweets is 3:
The ratio of blue sweets to green sweets is 4 : 5
Calculate the number of blue sweets that are in the bowl.
Answers
Answer:
252 blue sweets
Step-by-step explanation:
red : blue
3 : 7 ( x4 )
12 : 28
blue : green
4 : 5 ( x7 )
28 : 35
red : blue : green
12 : 28 : 35
12 + 28 + 35 = 75
Blue Sweets:
675 x 28/75 = 252
Find the area of the polygon.
Answers
Answer
the area is 26 cm
Step-by-step explanation:
for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2
for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12
for box A it is 3 by 4 so that would be 12
you add the results together 12+12+2=26cm
If you roll two fair six-sided dice what is the probability that the sum is:
Answers
Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.
Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x
Let ‘x’ be the number on the first dice.
‘Y’ be the number on second dice.
We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.
Total number of possible results from two six-sided dice is 6 × 6 = 36.
The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).
Number of possible results for the sum is 5 or lower is 10.
The probability that the sum is 5 or lower = 10/36
=5/18
Therefore, the probability that the sum is 5 or lower is 5/18.
Nia needs 15 pieces of string each ½ of a inch long. She cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many more pieces of string does she need?
Answers
Complete the two column proof
Answers
Answer:
Step-by-step explanation:
a. addition
b. division
c. given
The other option is 32
Answers
Answer:
32
Hope you could get an idea from here.
Doubt clarification - use comment section.
(repost) Please help! It involves inequalities! Also please include a number line.
Answers
Answer:
-5 ≤ x
Step-by-step explanation:
2(x -3) -5x ≤ 9 . . . . . given
2x -6 -5x ≤ 9 . . . . . . eliminate parentheses
-3x -6 ≤ 9 . . . . . . . . combine like terms
-6 ≤ 9 +3x . . . . . . . add 3x
-15 ≤ 3x . . . . . . . . subtract 9
-5 ≤ x . . . . . . . . . divide by 3
__
The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)
_____
Additional comment
Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...
-3x ≤ 15
Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...
x ≥ -5
Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
The answer you are looking for is C. 2/3
Step-by-step explanation:
because if it was 4/6 reduce to make 2/3.
hope this helps! please give brainlyist :D
Answer:
2:3
Step-by-step explanation:
did it
Geometry - Isosceles & Equilateral triangles
Solve for x *
Answers
Answer:
7
Step-by-step explanation:
all sides in equilateral triangle are equal so side to the bottom is 56ft
base sides same in isosceles triangle so 56 = 8x
8x=56
56/8 is 7
What is:
9e−7=7e−11
Show Work
Answers
Answer: -2
Step-by-step explanation:
9e-7=7e-11
-7e -7e
2e-7=-11
+7 +7
2e=-4
/2 /2
e=-2
Please help I’ll love u forever
Answers
Answer:
3. non linear
4. weak
Step-by-step explanation:
3. it doesn't go in a line
4. it's a weak association.
The Ride-It Store rents bicycles. The cost is $8.50 for 1 hour, $13.65 for 2 hours, &18.80 for 3 hours, and &23.95 for 4 hours. If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?
Answers
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25
WILL GIVE BRAINLIEST
Answers
Answer:
1 ) the slope is -2/1 y-intersept is 7 therefore y=-2/1x+7 pt's (1,3) (-3,5)
2 ) the slope is 1/1 y-intersept is -4 therefore y=1/1x-4 pt's (-3,1)(-1,3)
Step-by-step explanation:
i hope this helps if you need more or still dont understand plz let me know! <3
y =mx(+or-)b
m,slope ,rise over run .
b,y-inersept the point that of witch it crosses the y axis.
D= 9/5C + 32, If the temperature is -15 degrees Celsius, what is the temperature in Fahrenheit degrees
Answers
Answer:
5
Step-by-step explanation:
plug in the numbers (-15x9/5)+35 PEMDAS.
or Question 5 i:
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£150
Hotel
Spending money
£50 for each day
£250
Work out the total cost of the holiday for 4 people for 7 days.
Answers
Answer:
the costs for the holiday for each person
£250
Step-by-step explanation:
So ,
£250 × 7 = 1,750
In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students
Answers
Answer:
About 29%
Step-by-step explanation:
Help PLZZ
Find the slope of the line through each pair of points
1.(10,-9),(-4,-14)
2.(16,6),(-4,-14)
3.(9,-4),(5,-20)
4.(-13,20),(-18,20)
Answers
To find slope we use the formula ~
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]
let's find the slope of line passing through the given points ~
1. (10 , -9) and (-4 , -14) [tex] \sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)} [/tex][tex] \sf \dfrac{ - 9 + 14}{10 + 4} [/tex][tex] \sf \dfrac{5}{14} [/tex]2. (16 , 6) and (-4 , -14)[tex] \sf \dfrac{6 - ( - 14)}{16 - ( - 4)}[/tex][tex] \sf \dfrac{6 + 14}{16 + 4} [/tex][tex] \sf \dfrac{20}{20}[/tex][tex] \sf1[/tex]3. (9 , -4) and (5 , -20)[tex] \sf \dfrac{ - 4 - ( - 20)}{9 - 5}[/tex][tex] \sf \dfrac{ - 4 + 20}{4} [/tex][tex] \sf \dfrac{16}{4} [/tex][tex] \sf4[/tex]4. (-13 , 20) and (-18 , 20)[tex] \sf \dfrac{20 - 20}{ - 13 - ( - 18)} [/tex][tex] \sf\dfrac{0}{ - 13 + 18} [/tex][tex]0[/tex]I hope it helps ~
___________________________________
[tex]꧁ \: \: \large \rm{kaul} \: ꧂[/tex]
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answers
384 +37289 x 638203
then you will get the calculation
Answer:
its option c i believe
the system of equations are y=-2x=3 and y=x is graphed what is the soultions to the system of equations
Answers
Answer:
y=1
Step-by-step explanation:
Answer:
x=-1, y=-1
Step-by-step explanation:
Because -2x-3 and x are both equal to y, we set them equal to each other and solve for x:
-2x-3=x
-3=3x
-1=x
x=-1
So, because y=x, then y=-1 as well
find the equation of the line.
y=[ ]x+[ ]
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
Slope = -2
m = slope
y-intercept = 5
b = 5
y = mx + b
y = -2x + 5
Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.
Answers
Answer: He needs to splash the threes
Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer
- 8i - 7i
A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2
Answers
represent 3 1/2 pictorically. pls fast
Answers
Answer:
You are filipino or not I need filipino women
Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales
Answers
Listamos los lados faltantes a continuación:
[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.
A continuación, procedemos a resolver cada caso:
1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]
[tex]c = \sqrt{a^{2}+b^{2}}[/tex]
[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]
[tex]c \approx \sqrt{34}\,cm[/tex]
2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]
[tex]z = \sqrt{x^{2}-y^{2}}[/tex]
[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]
[tex]z \approx 5.098\,cm[/tex]
3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]
[tex]p = \sqrt{n^{2}-m^{2}}[/tex]
[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]
[tex]p = 5\,cm[/tex]
4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]
[tex]l = \sqrt{m^{2}+s^{2}}[/tex]
[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]
[tex]l\approx 3.680\,cm[/tex]
Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682
What percentage is 19 marks
out of 50?
Answers
Answer:
38%
Step-by-step explanation:
Answer:
the answer is 38%
Step-by-step explanation:
multiply 19 by 2 because 50 is half of 100
Will Give Brainliest
Answers
Answer:
x = 19
Step-by-step explanation:
3x - 1 = 6 (x - 1)
I hope this helps!
Opposite angles are equal
[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]
[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]
[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]
[tex]\\ \sf\longmapsto -3x=-57[/tex]
[tex]\\ \sf\longmapsto x=19[/tex]
567898765456787654567876567876+9999999999999999999999999999999
Answers
Answer:
1.05678988E31
Step-by-step explanation:
What is f(5) for the function f(x) = 7x + 1
Answers
7 (5) + 1 = 35 + 1 = 36
So, f(5) = 36
= 35 + 1
= 36
what’s the correct answer?
Answers
Answer:
the triangle above is an isoceles triangle
therefore the base angles are equal
So we have:
X + X + 38= 180
2x = 180-38
2x = 142
X = 71°
Answer:
71
Step-by-step explanation:
The two line of length 21 defines that the base angles are equal.
so therefore.
38 degrees + x degrees + x degrees = 180
38 + 2x = 180
2x = 180 - 32
2x = 142
x = 71.
I hope this helps like it and comment if you have more questions or spotted a mistake . thanks