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Dmitry [639]
3 years ago
5

What do the graphs of all arithmetic sequences have in common

Mathematics
1 answer:
jasenka [17]3 years ago
3 0
Think of how arithmetic sequences act. They start at a given number, and then they march up or down by the same distance each time. For example:

3, 7, 11, 15, 19, ...

this one marches up by 4 each time.

If this is plotted on a graph, the first point is (1,3), then (2,7), then (3,11), then (4,15) and so on. You'll notice that the slope is the same between all the points. In other words, you get a straight line! This is true for any arithmetic sequence.
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How do you simplify (2xy2)3
pantera1 [17]
(2xy^{2})^{3} = (2xy^{2})(2xy^{2})(2xy^{2})
Now, we can just multiply it and obtain the result
(2xy^{2})(2xy^{2})(2xy^{2})=(4x^{2}y^{4})(2xy^{2})=8x^{3}y^{6}

I used law presented on this example
2^{3}*2=2^{3}*2^{1}=2^{3+1}=2^{4}
4 0
3 years ago
Solve for x d(-3+x)= kx+9
olga nikolaevna [1]
1. Write the equation:
d(-3 + x) = kx + 9
2. "Open" the parenthesizes:
-3d + dx = kx + 9
3. Take kx to the left side, -3d to the right, everything with different sign (+ replace with - when transferring, - replace with +):
dx - kx = 9 + 3d
4. Factor x in the left side:
x(d - k) = 9 + 3d
5. Finally, divide the whole equation by (d - k):
x = (9 + 3d)/(d - k)
That's the final answer. Good luck!
4 0
3 years ago
Read 2 more answers
Factorize x^2 - 5x +4 <br> i will mark brainliest if correct
noname [10]

Answer:

(x-1)(x-4)

Step-by-step explanation:

factors of four that add up to negative five

7 0
2 years ago
Read 2 more answers
HELP YOU WILL GET BRAINLIEST
dezoksy [38]

Answer:

60π

Step-by-step explanation:

2π(3 × 7 ) + 2π (3)^2

Distribute: 2x3x7 and 2x3^2

42π + 18π

That gives 60π.

7 0
3 years ago
Find the volume of the cylinder.
Georgia [21]
<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume =  100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

6 0
2 years ago
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