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Ghella [55]
3 years ago
12

in an isosceles triangle,the vertex angle is twice either base angle.(let the base angle be x in degrees.remember that the sum o

f anglesof a triangle is 180 degrees). Set up an equation​
Mathematics
1 answer:
Alona [7]3 years ago
4 0
ImageMeritnation › question › math
In an isosceles triangle, the vertex angle is twice either base angle (Let the base angle be b in ...
Mar 27, 2015 · (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees). Set up an equation. a. x + 2x = 180 b. x + 2x
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Describe a situation that the expression -15÷(-15) can represent
FrozenT [24]
-15 so that is negative. so that is negative 15÷15 so 15 ÷15 is 1 so it would be -15÷-15=-1
7 0
2 years ago
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

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

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
2 years ago
What is (y-10)(4y+2)?
AleksandrR [38]

Answer:

4y²−38y−20

Step-by-step explanation:

(y−10)(4y+2)

=(y+−10)(4y+2)

=(y)(4y)+(y)(2)+(−10)(4y)+(−10)(2)

=4y²+2y−40y−20

=4y²−38y−20

please mark me brainliest!

8 0
2 years ago
Read 2 more answers
If y=3x+2,find the value of y when x=-3
Mars2501 [29]
Y=3x+2 when x=-3
=> y= 3(-3)+2 = -9+2 =-7
6 0
3 years ago
Read 2 more answers
The foot of a ladder is placed 5 feet from a building. The top of the ladder rests
bonufazy [111]
13ft you would do 5^2+12^2 with a answer of 169 then you do the square root of that to get 13
7 0
2 years ago
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