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2 years ago

Find the slope of the line (-3,-2) (1,6)

Mathematics

1 answer:

nlexa [21]2 years ago

5 0

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)

m = $\frac{6-(-2)}{1-(-3)}$ = $\frac{6+2}{1+3}$ = $\frac{8}{4}$ = 2

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one side of a rectangle is 4cm shorter than three times the other side, find the side lengths if the area is 319

MakcuM [25]

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5 0

3 years ago

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matrenka [14]

C, the remainder is 16.

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2 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

3) Greta has 2 bags of tiles

zubka84 [21]

Answer:

B would be a *dependent* event, and A would be an *independent* event.

Step-by-step explanation:

Independent events are separate events where the outcome in either event does not affect the other's probability. The opposite, where the outcome of the one event affects the other's probably, is dependent.

For Option A, taking a tile out and then replacing it does not affect the probability that the same tile will be picked for the 2nd picking.

For Option B, taking a tile out of the bag and then picking another tile are 2 separate events and both have different probabilities for picking identical tiles.

Therefore, Option B is dependent and Option A is independent.

4 0

2 years ago

He completed 2 and 4/5 rows of grapes each hour he worked after completing 140 rows of grapes how many hours had he worked?

algol [13]

Step-by-step explanation:

Divide 140 by $2\frac{4}{5}$ to represent the amount of hours he worked.

To make dividing easier, $2\frac{4}{5}$ can also represent 2.8 as a decimal.

$\frac{140}{2.8} =50$

He has worked 50 hours after completing 140 rows of grapes.

4 0

2 years ago