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Andrew [12]
3 years ago
6

Help on Number 8? I know Y=5 and the slope is undefined and x=2 but I don’t know what to do now.

Mathematics
1 answer:
Stels [109]3 years ago
3 0

To find the slope, use the equation of a line: y = mx + b

Plug in the values for x and y:

5 = 2x + b

We know that 2 can fit into 5 twice, which means 2*2 is 4.

We now have 5 = 4 + b.

If 5 is b more than 4, then this means that 4 is b less than 5. Subtract 4 from both sides, and you will have b = 1.

This means your equation is y = 2x + 1.

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we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

a_1=-36

now, we can find common ratio

r=\frac{6}{-36}

r=-\frac{1}{6}

now, we can find nth term

a_n=a_1(r)^{n-1}

now, we can plug values

and we get

a_n=36(-\frac{1}{6})^{n-1}

now, we can find 5th term , 6th term, 7th term

fifth term:

a_5=36(-\frac{1}{6})^{4}

a_5=\frac{1}{36}

sixth term:

a_6=36(-\frac{1}{6})^{5}

a_6=-\frac{1}{216}

seventh term:

a_7=36(-\frac{1}{6})^{6}

a_7=\frac{1}{1296}

so, next terms are

a_5=\frac{1}{36} , a_6=-\frac{1}{216}

, a_7=\frac{1}{1296}.............Answer

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