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goldfiish [28.3K]
3 years ago
9

HELPPPPPPPPP i have the most trouble with math what’s the answer??

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

Second Option

\frac{5\sqrt{11} +5\sqrt{3}}{8}

Step-by-step explanation:

To simplify the expression you must multiply the numerator and the denominator of the fraction by the conjugate of the denominator.

If you have an expression of the form

a -b then its conjugate will be a + b.

The result of that multiplication will be

a ^ 2 -b ^ 2

Therefore we have the expression

\frac{5}{\sqrt{11} -\sqrt{3}}

By multiplying by the conjugate of the denominator we have

\frac{5}{\sqrt{11} -\sqrt{3}}*\frac{\sqrt{11} +\sqrt{3}}{\sqrt{11} +\sqrt{3}}\\\\\\\frac{5(\sqrt{11} +\sqrt{3})}{(\sqrt{11})^2 -(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11} +5\sqrt{3}}{11 -3}\\\\\\\frac{5\sqrt{11} +5\sqrt{3}}{8}

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Find the sum of the arithmetic sequence. 5,7,9,11,...,23
eduard

Answer:

140

Step-by-step explanation:

The arithmetic series is 5, 7, 9, 11, ........., 23.

First u have to determine the no. of terms that can be done by using

Tₙ = [a + (n - 1)d]

Tₙ-------nth term

a---------first term

n---------no.of terms in the series

d---------common difference

here a = 5,d = 2.

let it contain n terms Tₙ= [a + (n-1)d]

Substitute Tₙ, a, and d in the equation

23 = 5 + (n - 1)2

Subtract 5 from each side.

18 = (n-1)2

Divide each side by 2

(n - 1) = 9

Add 1 to each side

n = 9 + 1 = 10

The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]

Substitute Sₙ, a, n and d in the equation

Sₙ= (10/2)[2(5) + (10-1)2]

Sₙ= (5)[10 + (9)2]

Sₙ= 5[10 + 18]

Sₙ= 5[28] = 140

Therefore the sum of the arithmetic sequence is 140.

6 0
3 years ago
If a=-6 and b=-10 evaluate the following:<br>a + 6​
ser-zykov [4K]

Answer:

-6+-10=-16

Step-by-step explanation:

+ - = -

........

6 0
3 years ago
The table and the graph each show a different relationship between the same two variables, x and y:
Inessa05 [86]

Answer:

275

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What number am I?
Rudik [331]

Answer:

Step-by-step explanation:

The first digit is 9

the 2nd one from the right = 2

So far what you have is

911, 121

941,121

There seems to be a second 4 implied. What is it? I'll edit if you get it to me in the next hour.

6 0
3 years ago
The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32
Sauron [17]

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: Area\:of\:rectangle=Length\times Width

Putting values and finding width of rectangle

Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

4 0
3 years ago
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