Answer:
The distance should be two units.
Step-by-step explanation:
Looking at the correlation [after knowing it's a rectangle] between point(s) A and D, they both have opposite X's. And that tells me that B and C have to be opposite as well to match a rectangle.
Therefore, C should be 3,-2, since it's B's opposite Y.
Hopefully this makes sense and you get this question correct! :)
Formula for point-slope:

Plug in the values (1):

{Choice B}
Plug in the values (2):

{Choice C}
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[For (3) and (4) we need to solve for slope]
(3)
First, solve for slope.
Formula for slope:

Plug in values:

Slope:

Second, we must plug into point-slope form.
Formula for point-slope:

Plug in the values:

{Choice C}
(4)
First, solve for slope.
Formula for slope:

Plug in values:

Slope:

Second, we must plug into point-slope form.
Formula for point-slope:

Plug in the values:

{Choice D}
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
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For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
Answer:
It is negetive 11
Step-by-step explanation:
First you need to subtract -3-8 and you will get -11.
This is called inverse operation
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
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<h3>Solution</h3>
aₙ = a₁ + (n-1)d
- a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
- a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22
8a₈ = 12a₁₂
- 8(a₁ - 14) = 12(a₁ - 22)
- 2(a₁ - 14) = 3(a₁ - 22)
- 2a₁ - 28 = 3a₁ - 66
- 3a₁ - 2a₁ = -28 + 66
- a₁ = 38