Line CD contains points A (4, −7) and B (4, 8). The slope of line CD is

Mathematics

2 answers:

scoundrel [369]3 years ago

6 0

Answer:

Undefined

Step-by-step explanation:

Slope=m=y2-y1/x2-x1=8- (-7)/4-4=8+7/4-4=15/0 so you can't divide by zero and calculator will give you an error. Thus, the answer is undefined. This means there is no horizontal change, which is another way to say the line is vertical. All vertical lins have a slope that is "undefined".

Alex17521 [72]3 years ago

5 0

Given two points; A(x₁,y₁) and B(x₂,y₂) the slope "m" is:
m=(y₂-y₂)/(x₂-x₁) or m=(y₁-y₂)/(x₁-x₂)

In this case:
A(4,-7)
B(4,8)

m=(-7-8) / (4-4)=-15/0 because we have "0" in the denominator the line is vertical, and its slope is indefinitely.

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Answer:

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If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n

pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the $\sum^\infty_{n=0}C_n8^n$ is convergent

Therefore,

(a) $\sum^\infty_{n=0}C_n(-3)^n$ The power series $\sum C_nx^n$ has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3