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Ask QuestionPosted by Himanshi Garg 5 years, 4 months ago
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Posted by Amanpreetkaur Dari 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
A n s w e r
Area of an Equilateral Triangle Formula
The formula for the area of an equilateral triangle is given as:
| Area of Equilateral Triangle (A) = (√3/4)a2 |
Where a = length of sides
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My Guide ... 5 years, 4 months ago
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Posted by Radhika Singh 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
Consider a polynomial f(x) which is divided by (x-c), then f(c)=0.
Using remainder theorem,
f(x)= (x-c)q(x)+f(c)
Where f(x) is the target polynomial and q(x) is the quotient polynomial.
Since, f(c) = 0, hence,
f(x)= (x-c)q(x)+f(c)
f(x) = (x-c)q(x)+0
f(x) = (x-c)q(x)
Therefore, (x-c) is a factor of the polynomial f(x).
Another Method
By <a href="https://byjus.com/maths/remainder-theorem/">remainder theorem</a>,
f(x)= (x-c)q(x)+f(c)
If (x-c) is a factor of f(x), then the remainder must be zero.
(x-c) exactly divides f(x)
Therefore, f(c)=0.
The following statements are equivalent for any polynomial f(x)
- The remainder is zero when f(x) is exactly divided by (x-c)
- (x-c) is a factor of f(x)
- c is the solution to f(x)
- c is a zero of the function f(x), or f(c) =0
Posted by Eunice Ghatraj 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
<hr />Let the height of the cuboidal vessel be h m. l = 10 m b = 8 m
Capacity of the cuboidal vessel = 380 m3
lbh = 380
(10)(8)h = 380
Hence, the cuboidal vessel must be made 4.75 m high.
Posted by Riddhi Mathur 5 years, 4 months ago
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Posted by Samiksha Singaraj 💫 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
(1,-3) = (x,y)
x= 1
y=-3
now we will put these values in equation;x - 2y =k
1 - 2 X (-3) = k
1 + 6 = k ( because - and - will change in + )
and
then
k= 7.
Posted by Naman Pandey 5 years, 4 months ago
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Mandozai Abbas Khan 5 years, 4 months ago
Rushil Singh 5 years, 4 months ago
Posted by Kanta Pandor 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
Yes zero is a rational number.
We know that the integer 0 can be written in any one of the following forms.
For example, 0/1, 0/-1, 0/2, 0/-2, 0/3, 0/-3, 0/4, 0/-4 and so on …..
In other words, 0 = 0/b, where b is any non-zero integer
Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer.
Hence, 0 is a rational number.
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Pratibha Kushwah 5 years, 4 months ago
《Aruba》°°° 《Sayed》❤ 5 years, 4 months ago
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Posted by Ronak Agarwal 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
A n s w e r:
2) option is correct.
y = 2, means point is represted on y-axis.
If we draw a line through it then it will parallel to the x-axis.
Posted by Anmol Gill 5 years, 4 months ago
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Posted by Radhika Singh 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
Remainder Theorem Proof
Theorem functions on an actual case that a polynomial is comprehensively dividable, at least one time by its factor in order to get a smaller polynomial and ‘a’ remainder of zero. This acts as one of the simplest ways to determine whether the value ‘a’ is a root of the polynomial P(x).
That is when we divide p(x) by x-a we obtain
p(x) = (x-a)·q(x) + r(x),
as we know that Dividend = (Divisor × Quotient) + Remainder
But if r(x) is simply the constant r (remember when we divide by (x-a) the remainder is a constant)…. so we obtain the following solution, i.e
p(x) = (x-a)·q(x) + r
Observe what happens when we have x equal to a:
p(a) = (a-a)·q(a) + r
p(a) = (0)·q(a) + r
p(a) = r
Hence, proved.
Posted by Harsh Mishra 9D 9416 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
The vertical line in the Cartesian plane which determines the position of a point is called THE Y-AXIS
The horizontal line in the Cartesian plane which determines the position of a point is called THE X-AXIS
Gaurav Seth 5 years, 4 months ago
The vertical line in the Cartesian plane which determines the position of a point is called THE Y-AXIS
The horizontal line in the Cartesian plane which determines the position of a point is called THE Y-AXIS
Posted by Param Makvana 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
we know ,
a³ + b³ + c³ -3abc = (a + b + c )(a² + b² + c² -ab -bc-ca)
now ,
a + b + c = 5
ab + bc + ca = 10
(a + b + c)² = a² + b² + c² +2(ab + bc+ca)
(5)² -2×10 = a² + b² + c²
a² + b² + c² =5
hence ,
a³ + b³ +c³ -3abc = ( a + b + c )(a² + b² + c² -ab- bc-ca)
=( 5)( 5 - 10) = 5 × (-5) = -25
hence proved
Posted by Shubham Singh 5 years, 4 months ago
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Manyata Joshi 5 years, 4 months ago
Posted by Dimple Verms 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
8. Find three different irrational numbers between the rational numbers 5/7 and 9/11.
Solution:
Three different irrational numbers are:
- 0.73073007300073000073…
- 0.75075007300075000075…
- 0.76076007600076000076…
Posted by Tanu Shree 5 years, 4 months ago
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Posted by Muskan Kumari 5 years, 4 months ago
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Gaurav Seth 5 years, 4 months ago
In triangle ABC
a-b=33
a=33+b ------------1
b-c=18
c=b-18 ------------2
Now in triangle abc by angle sum property
a+b+c=180
33+b+b+b-18=180 (by 1 and 2)
15+3b=180
3b=180-15
3b=165
b=165/3
b=55
Now put value of b in eq. 1 and 2
a-b=33
a-55=33
a=33+55
a=88
b-c=18
55-c=18
c=55-18
c=37
Your answer is:
a=88
b=55
c=37
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Gaurav Seth 5 years, 3 months ago
The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
In the given sum
Highest value = 67
Lowest value = 17
Range = Highest - Lowest value 67 - 17
Therefore rANGE = 50
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