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Mashutka [201]
2 years ago
9

(3 + 6n+ 3n) – (3n + 3n3 – 2n")

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
7 0

Answer:

Step-by-step explanation:

6+3+3=15n

3+33-2=34

34-15=19n

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Find the next four terms in the arithmetic sequence. a - 6, a - 2, a + 2, ...
labwork [276]
The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
5 0
3 years ago
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Mariana [72]

Answer:

1.y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

2.y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: \frac{y_2-y_1}{x_2-x_1}.

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by -\frac{1}{slope}. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.

6 0
2 years ago
I need major help pls help
Nesterboy [21]

Answer:

No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in

Step-by-step explanation:

It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.

A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since

24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.  

576 + 256 ≠ 900, since the left side is 832 and the right side is 900

It would be more correct if the width is 18 since 576 + 18^2 = 900

6 0
3 years ago
PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.
Savatey [412]

Answer:

Step-by-step explanation:

Sin(30) / X  = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12  ]   /  Sin(30)

flip both sides

X =  Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) *  12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) = \sqrt{2}/2

sin(60)= \sqrt{3} / 2

sin(90) = \sqrt{4} / 2    (aka 1)

note the numerators just counts up  0, 1, 2, 3, 4  :)  

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both = \sqrt{2}/2 at 45 °

anyway

X =  1 / 2 * 12/ \sqrt{2}/2

X = 3\sqrt{2}

A=3

B= 2

:)  nice , huh

8 0
3 years ago
Azul bought 10 reams of paper at the tore for a total cost of 84$ the tax on the purpose was 4$ what equation could be used to r
tankabanditka [31]

Answer:

The equation 10x+4=84  could be used to represent this situation.

Step-by-step explanation:

Given:

Azul bought 10 reams of paper at the store for a total cost of $84 the tax on the purpose was $4.

Now, to find the equation that could be used to represent this situation.

Let the cost of a ream of paper be x.

Total reams of paper = 10.

The tax on the purpose = $4.

The total cost = $84.

Now, to write an equation to represent this situation:

10\times x+4=84

10x+4=84

Therefore, the equation 10x+4=84  could be used to represent this situation.

6 0
3 years ago
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