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Taya2010 [7]
3 years ago
6

Diagram shows 4 points on a Cartesian plane.*Calculate the distance between points C and D.

Mathematics
1 answer:
pogonyaev3 years ago
5 0
3 units is the answer you're looking for

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Solve for x 5 x − 1 = 6 x − 9
Oksi-84 [34.3K]

Answer:

The value of x in this equation is 8.

Step-by-step explanation:

5x - 1 = 6x - 9

Subtract 6x on both sides.

-x - 1 = -9

Add 1 to both sides.

-x = -8

Divide by -1 on both sides.

x = 8

8 0
3 years ago
Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.
IRINA_888 [86]

Step-by-step explanation:

step 1. The circumference (c) of a circle is the diameter of a circle x pi. c = d(pi) = 14pi.

step 2. The area (A) of a circle is the radius of a circle squared x pi. The radius of a circle is 1/2 x the diameter. A = (14/2)^2(pi) = 49pi.

4 0
3 years ago
Can't remember how to solve a certain equation. Number 10!
Vikentia [17]
The answer is going to be 1 and -4 as the 2s cross divide out

6 0
3 years ago
"Three times a number increased by eleven is seventeen" translates to which of the following equations?
ololo11 [35]
3x + 11 = 17 i think
7 0
3 years ago
Read 2 more answers
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