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tankabanditka [31]
3 years ago
12

Which line has an Undefined slope? Helpp

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?
AleksAgata [21]

Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

7 0
3 years ago
Create an equivalent system of equations using the sum of the system and the first equation. x + 4y = 8 4x + y = 2
qaws [65]

Answer:

Equivalent systems of equations review

Step-by-step explanation:

We're given two systems of equations and asked if they're equivalent.

x + 4y = 8 (1)

4x + y = 2 (2)

Interestingly, if we sum the equations in System A, we get:

x + 4y = 8 \\4x + y = 2 \\

5x+5y=10

Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:

5x+5y=10

4x + y = 2

This is System B, which means that System A is equivalent to System B.

5 0
3 years ago
In polar coordinates, the axis determined by theta=0 is called ?
melisa1 [442]

In polar coordinates, the axis determined by theta=0 is called the positive x-axis or horizontal axis.

To add, in mathematics, the polar coordinate<span> system is a two-dimensional </span>coordinate<span> <span>system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.</span></span>

4 0
4 years ago
Read 2 more answers
3 + 12c - 4c<br> What is the answer I need help?
HACTEHA [7]
Your answer is 3 + 8c!!
7 0
3 years ago
What number does the calculator display represent?
Tatiana [17]

Answer:

C

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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