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Oliga [24]
2 years ago
7

-2/3,1/3,-1/6,1/12 Use inductive reasoning to predict the next term in the sequence

Mathematics
1 answer:
Marianna [84]2 years ago
4 0

Answer:

- 1/24

Step-by-step explanation:

Keep multiplying by -1/2 to find the 'next' term

1/12  * - 1/2  = - 1/24

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P (6,6) y=2/3x
matrenka [14]

Answer:

y = -\frac{3}{2}x+15

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

y = \frac{2}{3}x

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

y = \frac{2}{3}x

Now, we compare the given equation by standard form y = mx +c

So, slope of the line m_{1} = \frac{2}{3}, and

y-intercept c=0

We know that the slope of the perpendicular line m_{1}\times m_{2}  = -1

m_{2}=-\frac{1}{m_{1}}

m_{2}=-\frac{1}{\frac{2}{3} }

m_{2}=-\frac{3}{2}

So, the slope of the perpendicular line m_{2}=-\frac{3}{2}

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

y=mx+c

Substitute point P(x_{1}, y_{1})=P(6, 6) and m = m_{2}=-\frac{3}{2}

6=-\frac{3}{2}\times 6 +c

6=-3\times 3 +c

c=6+9

c=15

So, the y-intercept of the perpendicular line c=15

Using point slope formula.

y=mx+c

Substitute m = m_{2}=-\frac{3}{2} and c=15 in above equation.

y = -\frac{3}{2}x+15

Therefore: the equation of the perpendicular line y = -\frac{3}{2}x+15

8 0
3 years ago
Solve each equation x-6=8
jok3333 [9.3K]
Equation is
x-6=8
x=8+6
x=14
X equal to 14
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Evaluate the algebraic expression below for the given value.
MrRa [10]

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i think this will help you

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Vladimir79 [104]
You can take out 2x^3 from both terms making it
2x^3 (15+8x^2)
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3 years ago
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Answer:

B its 4 7/8 --------------

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