What is the slope of the line that passes through the points (-3, 3) and (-3, 13) ? Write your answer in simplest form

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

Slope (m) = infinity

θ = π = 90°

distance (d) = 10

ΔX = 0

ΔY = 10

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Which expressions go in which box?

almond37 [142]

To qualify as a polynomial, the expression in question:
* Consists of one or more terms
* Variables are only with positive whole exponents
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In that case the answer is most likely:

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3 years ago

The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?

OLga [1]

An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)

With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.

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3 years ago

Equivalent expressions of z+(z+6)

Gennadij [26K]

Answer:

2z+6 or 2(z+3) are the equivalent expressions

Step-by-step explanation:

z+(z+6)

opening the brackets

z+z+6

=2z+6

or if we take 2 as common the answer is