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krek1111 [17]
3 years ago
11

A

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

(3n+2)^{2} = (3n+2)(3n+2)

9n^{2} +12n+4 - I expanded the above brackets

9n^{2} +12n+3+1  - I separated the 1 from 4 to make 3+1

3(3n^{2} +4n+1)+1 - I took out a factor of 3

= 1 more than a multiple of 3

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HELP IN NEED!
laiz [17]

Answer:

AB=12\sqrt{3}\ cm

Step-by-step explanation:

If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special 30^{\circ}-60^{\circ}-90^{\circ} triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

AO=2BO=2\cdot 12=24\ cm.

By the Pythagorean theorem,

AB^2=AO^2-BO^2,\\ \\AB^2=24^2-12^2,\\ \\AB^2=576-144=432,\\ \\AB=12\sqrt{3}\ cm.

6 0
3 years ago
Write the equation of the line fully simplified slope-intercept form.
VMariaS [17]

Answer:

y = -x/6 + 2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?
Marizza181 [45]

Answer:

Approximately 17.88x or 8x\sqrt{5}

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be \sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}} which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x  or if you simplify the radical instead it's 8x\sqrt{5}

4 0
3 years ago
Janet’s savings account has $12.10 more than the $242 it had at the beginning of the year. What percent more was in the savings
Ilia_Sergeevich [38]
5% is the answer!! :)
5 0
3 years ago
Need help with this question
mixer [17]

Hey there!!

How do we find the equation of a line ?

Ans : We take the slope and the y - intercept and get them together.

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

The two points shown in the above question are

( 4 , -8 ) and ( 8 , 5 )

y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4

Now plug in the values:

( 5 + 8 ) / ( 8 - 5 )

13 / 3

Hence, the slope is 13/3

The basic formula : y = mx + b

Where b is the y-intercept and m is the slope.

We have found the slope, hence, the formula would become

... y = 13/3 x + b

Now take a coordinate and substitute it .

I will take ( 8 , 5 )

x = 8 and y = 5

Now plug in the values

... 5 = 13/3 × 5 + b

... 5 = 65/3 + b

Subtract 65/3 on both sides

... 5 - 65/3 = b

... -50/3 = b

Hence, the y-intercept is -50/3

Now plug in all the values to get the total equation...

The final equation : y = 13x/3 - 50/3

... y = 13x - 50 / 3

Hope my answer helps!!

3 0
3 years ago
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