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IceJOKER [234]
3 years ago
11

1) The graph of a bicycle ramp contains the points (-6,0) and (3,3). What is 5 points

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

\frac{1}{3}

Step-by-step explanation:

It was given that, the graph of the bicycle ramp contains the points (-6,0) and (3,3).

We want to find the slope.

We use the formula:

m =  \frac{y_2-y_1}{x_2-x_1}

We substitute the points into the formula to get;

m =  \frac{3 - 0}{3 -  - 6}

m =  \frac{3}{3 + 6}

Add in the denominator

m =  \frac{3}{9}  =  \frac{1}{3}

The slope of the ramp is 1/3.

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Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen
pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

-------------------

Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

  • term2 - term1 = -12 - (-8) = -12 + 8 = -4
  • term3 - term2 = -16 - (-12) = -16 + 12 = -4
  • term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

-------------------

Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

  • -6+5 = -1
  • -1+5 = 4
  • 4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

  • term2 - term1 = 12 - 3 = 9
  • term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

  • term2/term1 = 12/3 = 4
  • term3/term2 = 48/12 = 4
  • term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

3 0
3 years ago
if an experiment consist of throwing a die and then drawing a letter at random from the English alphabet, how many points are th
Rama09 [41]
So throwing a die hs 6 choices
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not sure what the points are
if you want to list all of the options then
multipliy 6 by 26
6 times 26=156
so 156 spaces
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Answer:

a

Step-by-step explanation:

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