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Kryger [21]
3 years ago
12

A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0
"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.
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What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val
Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = \dfrac{d-b}{c-a}

Then, the slope of the line that passes through (2, 12) and (4, 20) = \dfrac{20-12}{4-2}

=\dfrac{8}{2}=4

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9

By comparison,  c= 9

Hence, the value of the y-intercept is 9.

4 0
3 years ago
x+2=\sqrt{3x+10} 1.) What is the solution to the equation? 2.) What is the extraneous solution? Why? 3.) In general, what is an
rusak2 [61]
No entiendo nada de cómo usar esto:(
3 0
3 years ago
What is the mean of this data set: 18, 15, 33, 34, 55
WARRIOR [948]

Answer:

18

Step-by-step explanation:

33-15=18 I belive that is the mean

8 0
3 years ago
Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?
Kruka [31]
How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
5 0
3 years ago
Read 2 more answers
Please help!!!!!!
vodka [1.7K]

Answer:

A

Step-by-step explanation:

square: 10² = 100

Circle: π*5² = 3.14*25 = 78.5

In the squqre not in the circle: 100-78.5 = 21.5

4 0
2 years ago
Read 2 more answers
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