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
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answers
Answer:
11
Step-by-step explanation:
Givens:
AD = 8
AC = 4y - 28
y = ?
First we can see that AD and DC are equal.
-note AD and AC are not equal
But 2 times the length of AD should give you AC so.....
2 x length of AD = 16 = AC
We can use the equation:
16 = 4y - 28
Solve for y
16 + 28 = 4y
44 = 4y
y = 11
Therefore value of y is 11.
Check
Match the solution set given in inequality notation with the solution set given in interval notation.
17,88
(-0, 7.8)
7.8
(7.8,00)
> 7.8
[7.8,00)
V
7.8
(-0, 7.8)
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The Matching of the inequality is
x ≤ 7.8 -> (-∞,7.8]
x < 7.8 -> (-∞,7.8).
x > 7.8 -> (7.8,∞)
x ≥ 7.8 -> [7.8,∞).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
1. x ≤ 7.8
Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8
Thus, the interval is (-∞,7.8]
2. x < 7.8
Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.
Thus, the interval is (-∞,7.8).
3. x > 7.8
Here the value of is greater than 7.8 which means starting from 7.9 to ∞.
Thus, the interval is (7.8,∞)
4. x ≥ 7.8
Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.
Thus, the interval is [7.8,∞).
Learn more about Inequality here:
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Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answers
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
find the measure of each variable
Answers
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
Jake took 4 piano lessons last month. For each lesson, he memorized 2 major scales and x minor scales.
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b and c are the answers i think....
Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!
Answers
Answer:
Step-by-step explanation:
It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other
The given xy- plane is a parallelogram.
When a plane figure is called a parallelogram?
A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.
How to find the distance between two points?If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by
[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]
Where, d is the distance between two points.
According to the given question
We have a plane figure PSTO
And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.
Now, the length of the sides by distance formula
PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]
PS = [tex]\sqrt{c^{2}+0 }[/tex]
PS = c
Similarly,
ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]
ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]
TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]
TO = [tex]\sqrt{c^{2} }[/tex]
TO = c
And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]
PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]
From the above calculation we found that
PS = TO
PO = ST
⇒ Length of the opposite sides of the plane figure are equals.
And from the given figure we can see that the opposite sides are also parallel to each other.
Therefore, the given xy- plane is a parallelogram.
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i need help with this!!!!
Answers
Answer: 2. 5.
Step-by-step explanation:
write the number twenty-nine million sixty thousand
Answers
29,060,000
When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.
Answer:29,060,000
Step-by-step explanation:
with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million
If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.
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The value of ab^2 in simplified form is -1
Given the following expressions:
a = 4xb = 5iWe are to evaluate the expression [tex]ab^2[/tex]
Substitute the given parameters into the formula to have:
[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]
Hence the value of ab^2 in simplified form is -100x
Learn more on exponential functions here: https://brainly.com/question/12940982
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answers
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
find the slope of the line that contains each pair of points -9,-5 and 6,-5
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What is 7.15-0.274???
Answers
Answer: the answer is 6.876
Step-by-step explanation:
7.15-0.274=6.876
7.500-0.274=6.876
I hope this helps.
BRAINEST PLEASE
Fawzia has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $19 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 15 hours at the grocery store and 6 hours at the nursery? How many total hours does she work if she does g hours at the grocery store and n hours at the nursery?
Answers
Answer:
In total she works 21 hours and for the equation its gn=g+n
Step-by-step explanation:
got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works
1 – 2x + 3y for when X = – 2 and y = – 5
Answers
Answer:
-12
Step-by-step explanation:
1-2x+3y
1-2(-2)+ 3(-5)
1-4-9
= -12
HELPP ME PLEASEEE ! I NEED IT RNN
Answers
Perimeter of a square is the sum of each side or
4 X side
4 X 8 = 32 cm
Area of square can be represented by side
Answer : A=32cm²
A line has a slope of – 4 and includes the points (6,3) and (9,p). What is the value of p?
Answers
Answer:
The value of p is -9.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(p-3)/(9-6)
m=(p-3)/3
-4=(p-3)/3
-4*3=p-3
-12=p-3
p=-12+3
p=-9
(50 x 40 / 4 + 20) + (50 / 2 + 25) =
Answers
Answer:
= 570
Step-by-step explanation:
Priority in order:
BracketX and /+ and -(50 x 40 / 4 + 20) + (50 / 2 + 25)
= (2000 / 4 + 20) + ( 25 + 25)
= ( 500 + 20) + ( 50 )
= ( 520 ) + 50
= 520 + 50
= 570
Find the solution
Y = -3x - 5
Answers
-5/3
Explanation:
Which expression is equivalent to 7 − 9 ?
Answers
Answer:
Try subtracting 9 from 7 to find the value.
Step-by-step explanation:
Helppppppp pleaseeeee
Answers
Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)
Answers
Answer:
(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Step-by-step explanation:
To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)
You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
#1
Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197
Please help will mark as brainliest
Will report if any links
Answers
Answer:
= 188, x = 7.89, s = 2.23
Step-by-step explanation:
= 188, x = 7.89, s = 2.23
if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning
Answers
Step-by-step explanation:
I think that's clear enough
y = 5x + 1
Table down below
Help!
Answers
Answer:
Answers below
Step-by-step explanation:
-32 -> -7.4
0 -> 1
20 -> 5
What is the measure of
Answers
Answer:
81
Step-by-step explanation:
From the diagram,
143 is the exterior angle of the triangle.
61 and B are interior angles of the triange.
Formula : -
Exterior angle of a triangle = Sum of two interior angles in a triangle
143 = 61 + ∠B
∠B = 143 - 61
∠B = 82
Therefore, the measure of ∠B is 82.
12x(8x-20)÷4(2x-5) please solve it
Answers
Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x
hopes this helps
How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is
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Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.The function given is:
[tex]f(x) = (x + 1)^2 - 3[/tex]
It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x + 1)^2 - 3[/tex]
[tex]x = (y + 1)^2 - 3[/tex]
[tex](y + 1)^2 = x + 3[/tex]
[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]
[tex]y + 1 = \sqrt{x + 3}[/tex]
[tex]y = \sqrt{x + 3} - 1[/tex]
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].
A similar problem is given at https://brainly.com/question/13160937
Answer:
Step-by-step explanation:
show work! giving brainly! my teacher told me this was wrong, what's the correct answer?
Answers
Answer:
it's Ahmed shoveled more
Abigail must move a bucket of tomatoes from her garden to her kitchen, as represented on the grid below.
y
Kitchen
L(5, 1)
-1 0
2
Garden
-(-3, 4)
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step by step explanation:
Answer:
Step-by-step explanation:
9.43
Translate to an inequality. Use the variable x.
A number is less than 15.
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Answer:
that's the correct answers
Step-by-step explanation:
thanks for your
To translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.
This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.
Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
Learn more about inequality here
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