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ki77a [65]
3 years ago
14

I'll give brainist because i can't do it

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Answer:

Given

Step-by-step explanation:

Consider triangle ABD and triangle DCA,

AC=BD ( given that they are diameters)

Diameters of the same circle are equal

AD=AD (common side for both triangles)

<BAD= <CDA (angles in semicircles are 90°)

So since the right angle, hypotenuse and side are equal..

ABD is congruent to CDA

(Rhs congruence rule)

Hence proved..

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(x +y)^5<br> Complete the polynomial operation
Vesna [10]

Answer:

Please check the explanation!

Step-by-step explanation:

Given the polynomial

\left(x+y\right)^5

\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i

a=x,\:\:b=y

=\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i

so expanding summation

=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5

solving

\frac{5!}{0!\left(5-0\right)!}x^5y^0

=1\cdot \frac{5!}{0!\left(5-0\right)!}x^5

=1\cdot \:1\cdot \:x^5

=x^5

also solving

=\frac{5!}{1!\left(5-1\right)!}x^4y

=\frac{5}{1!}x^4y

=\frac{5}{1!}x^4y

=\frac{5x^4y}{1}

=\frac{5x^4y}{1}

=5x^4y

similarly, the result of the remaining terms can be solved such as

\frac{5!}{2!\left(5-2\right)!}x^3y^2=10x^3y^2

\frac{5!}{3!\left(5-3\right)!}x^2y^3=10x^2y^3

\frac{5!}{4!\left(5-4\right)!}x^1y^4=5xy^4

\frac{5!}{5!\left(5-5\right)!}x^0y^5=y^5

so substituting all the solved results in the expression

=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5

=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5

Therefore,

\left(x\:+y\right)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5

6 0
2 years ago
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
aleksandr82 [10.1K]

Answer:

41 units

Step-by-step explanation:

Pythagorean's  theorem,

Hypotenuse² = base² + adjacent²

Diagonal² = length² + width²

                 = 40² + 9²

                 = 1600 + 81 = 1681

Diagonal = √1681 = 41 units

7 0
2 years ago
What is 2 1/5 + 1 1/5
Reptile [31]

Answer:

3.4

Step-by-step explanation:

divide it all into a calculator

7 0
3 years ago
What is the cube root of 4096
Readme [11.4K]
The cube root is 16. Often times, teachers just let you use calculators on these questions.
7 0
2 years ago
Read 2 more answers
Solve the inequality and express your answer in interval notation<br> -10 &lt;-2x+ 6&lt;-2
cupoosta [38]

Answer:

4<x<8                         interval notation is (4,8)

Step-by-step explanation:

hope this helps

5 0
2 years ago
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