What is the length of MN?

Answer:

Q 12 roots of the equation

[tex]2x^{2} -6+1=0 \\= (x-\frac{\sqrt{10} }{2})(x+\frac{\sqrt{10} }{2})\\[/tex]

∝ = [tex]\frac{\sqrt{10} }{2}[/tex]

β = [tex]-\frac{\sqrt{10} }{2}[/tex]

no matter if u oppose the root

(i) 2([tex]\frac{\sqrt{10} }{2}[/tex])[tex](-\frac{\sqrt{10} }{2} )^{2}[/tex]+2[tex](\frac{\sqrt{10} }{2} )^{2}[/tex]([tex]-\frac{\sqrt{10} }{2}[/tex])+2(

(ii)([tex](\frac{\sqrt{10} }{2})^{2}[/tex] - 3 ([tex]\frac{\sqrt{10} }{2}[/tex])([tex]-\frac{\sqrt{10} }{2}[/tex]) + ([tex](-\frac{\sqrt{10} }{2})^{2}[/tex]) = [tex]\frac{25}{2}[/tex]

Q 13  roots of equation

[tex]4x^{2} -3x-4=0\\\alpha = -0.693\\\beta = 1.443[/tex]

the roots of the second equation are

x1 = 1/3(-0.693) = -0.231

x2 = 1/3(1.443) = 0.481

the equation is

(x+0.231)(x-0.481)=0

[tex]x^{2}-\frac{1}{4} x-\frac{1}{9}[/tex]

Its GCF is 9.

Hope it helps

Answer:

x = 2, x = 3

Step-by-step explanation:

Factorization by splitting middle term.

Hope this helped!

Answer:

x = - 3

x = - 2

Step-by-step explanation:

x² + 5x + 6 = 0

x² + 2x + 3x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 3) (x + 2) = 0

x + 3 = 0 or x + 2 = 0

x = - 3 or x = - 2

-TheUnknownScientist

Answer:

Speed = 72,285 in/min

Step-by-step explanation:

Given:

Total revolution per min = 1,000

Diameter = 23 in

Radius = 23/2 in

Time = 1 min

Find:

Speed

Computation:

Total distance = 2πr(1000)

Speed = Distance / time

Speed = 2πr(1000) / 1

Speed = 2π(23/2)(1000) / 1

Speed = 72,285 in/min

Answer:

D (I think!!)

Step-by-step explanation:

I searched for a complex plane graph and put in each answer and this was the closest.

Cube root of [tex]1+i[/tex] is represented by expression [tex]\sqrt[3]{1+i}[/tex] .

The nth root of number m is represented by, =  [tex]\sqrt[n]{m}[/tex]

Here, we have to find expression for cube root of 1 + i

So, substitute n = 3 and m = 1 + i

We get,  

Cube root of , [tex]1 + i[/tex]  =   [tex]\sqrt[3]{1+i}[/tex]

Thus, Cube root of [tex]1+i[/tex] is represented by expression [tex]\sqrt[3]{1+i}[/tex] .

Learn more:

https://brainly.com/question/12105008

Answer:

45

Step-by-step explanation:

Answer:

9 is 20% of 45

Answer:

You should be able to solve this easily just by drawing the tunnel and the bus (you may use 1cm for 1m). Notice how the bottom of the tunnel, the side of the bus, and a radius of the tunnel form a right-angled triangle. All you need to do is to find the sides of the triangle.

Answer:

< 1. = 75

< 2. = 105

< 3. = 105

< 4. = 75

< 5. = 75 (given)

< 6. = 105

< 7. = 105

< 8. = 75

Answer:

A speed skater travels 12.5 meters per second

A cheetah travels 26 meters per second

Step-by-step explanation:

To find their speeds, divide the number of meters by the number of seconds:

Speed skater:

500/40

= 12.5 meters per second

Cheetah:

260/10

= 26 meters per second

So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.

Answer:

109 is the 22nd term

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

a = 4

d = 5

[tex]a_{22} = a + 21d[/tex]

[tex]a_{22} = 4 + 21(5)\\[/tex]

[tex]a_{22} = 4 + 105[/tex]

[tex]a_{22} = 109[/tex]

hope you understood!

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 1 + x + 14 + 4x + 5 = 180, that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Answer:

62

Step-by-step explanation:

6*13-4^2

6*13-16

78-16

62

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.

Answer:

the answer is a

Step-by-step explanation:

Answer: The correct answer is C.

Step-by-step explanation: I had the question.

Answer:

16π = 50.27

Step-by-step explanation:

First lets find the area of both triangles

A = πr²

Smaller Area:

A = πr²

A = π 3²

A = π9

A = 9π

Larger Area:

A = πr²

A = π(5)²

A = π25

A = 25π

Now subtract the smaller from the larger to get the shaded left over

25π - 9π = 16π

Hope this helps :)

Answer:

wait what are the two lines in the middle of A and B are the = signs?

Answer: m < 1

x² - 2x + m = 0 (*)

a = 1   b = -2    c = m

Δ = b² - 4ac = 4 - 4m

(*) has 2 district real solutions => Δ > 0

⇔ 4 - 4m > 0

⇔ 4m < 4

⇔ m < 1

Step-by-step explanation:

Answer:

Ste-by-step explanation:

That doesn’t answer it stupid

Answer:

123

Step-by-step explanation:Im pretty sure u have to add some part of it

Question:

To Simplify:

118 {121÷(11×11)-(-4)-(3-7)}

Solution:

↠118 {121÷121+4-(-4)}

↠118 {1+4+4}

↠118 {5+4}

↠118{9}

↠118×9

↠1062

▬▬▬▬▬▬▬▬▬▬▬▬

The upper Solution is done by applying BODMAS

About BODMAS:

B→ Bracket

O→ Of

D→ Division

M→ Multiplication

A→ Addition

S→ Subtraction

Answer:

1062

Step-by-step explanation:

First do what’s in the parentheses, then start solving it by doing what’s on the far left that still is in the brackets after solving everything in the bracket multiply it by 118

Answer:

C. 2

Step-by-step explanation:

I used my calculator.

Answer: d. No; Janet could not have won 10 games because 3x ≠ 24.

Step-by-step explanation:

Assume the number of games won by Janet is x. This would mean that the number of games won by Nadia is 2x.

The total number of games played by both would therefore be;

x + 2x = 3x

Janet has won 10 games and we need to find out if the total number of games can be 24 if this is the case.

Expression would therefore be;

3x = 24

x = 10 so;

3(10) ≠ 24

There is therefore no way that they could have played 24 games if Janet had won 10 games. They would have to have played 30 games.

Answer:

7h+3=-11?

then h=-11-3 divided by 7

Step-by-step explanation:

Answer:

$785.77

Step-by-step explanation:

Assuming that Mike earned the highest compensation between July and December (third and fourth quarters), his total compensation for the six month period = $22,500 + $22,900 = $45,400

his average weekly salary = $45,400 / 26 weeks = $1,746.15

Mike's unemployment compensation = $1,746.15 x 45% = $785.77

Answer:

I hope this may help

Step-by-step explanation:

Clearly, 343 is a perfect cube. Therefore, group the factors of 343 in a pair of three and write in the form of cubes. Step 3: Now, we will apply cube root to both the sides of the above expression to take out the term in cubes.