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3 years ago

Write and equivalent expression for 5x - 2(x-4)

Mathematics

1 answer:

enyata [817]3 years ago

5 0

5x-2x+8
3x+8
I think this is correct

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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

Sholpan [36]

Answer: 15

Step-by-step explanation:

(r+1)th term of $(a+b)^n$ is given by:-

$T_{r+1}=\ ^nC_r(a)^{n-r}b^r$

For $(a+b)^6$ , n= 6

$T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\$

$=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2$

Hence, the coefficient of the third term in the binomial expansion of $(a+b)^6$ is 15.

3 0

2 years ago

Read 2 more answers

The diagonal of a square is 60 in, as shown

andre [41]

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

$x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{1800}\\x=42.4$

Hence,

The length of side is 42.4 inches.

5 0

2 years ago

How many 2/3 are in six

padilas [110]

0.66666 that’s the answer

4 0

3 years ago

What value is missing

bogdanovich [222]

The answer is 310 because the total amount of miles is 650. So, you will subtract 340 from 650 giving you 310 miles to go.

8 0

2 years ago

Read 2 more answers

The area of a rectangular dining room is 16 square meters. The perimeter is 16 meters. What are the dimensions of the dining roo

neonofarm [45]

Answer:

Step-by-step explanation:

The area is 16, and you know that it's 2 sides u need to multiply

The perimeter is 16, and you know that you need to add up all the sides

So....

A = b * h

A = 4 * 4

A = 16 CORRECT

And....

P = S + S + S + S ( s = sides)

P = 4 + 4 + 4 + 4

P = 16 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0

2 years ago