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iren [92.7K]
3 years ago
14

A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly be

tween $A$ and $B$
Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

98

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 1.

How?

Change of y is 100-1=99.

Change of x is 100-1=99.

The slope is 99/99=1 or 1/1.

So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).

If we do that again from (2,2) we get (3,3).

Following the pattern of going up 1 and right from each new location discovered we get all the of these points:

Start (1,1)

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

....

(96,96)

(97,97)

(98,98)

(99,99)

end (100,100)

So we just need to count all the numbers from 2 to 99.

99-2+1

97+1

98

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Answer:

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Step-by-step explanation:

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The length of a rectangle is six more than double the width. If the perimeter is 102 inches find the dimensions
stiks02 [169]

Answer:

width = 15 inches

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Step-by-step explanation:

To solve you need to find the width...

width = w

length = 2w + 6

the perimeter is all the way around the area, so..

2w + 2(2w + 6) = 102

because there are 2 widths and 2 lengths in a perimeter.

Solve for w:

2w + 4w + 12 = 102

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divide both sides by 6...

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Step-by-step explanation:

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4 years ago
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Answer:

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Step-by-step explanation:

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Set the two equations equal to each other:

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Step-by-step explanation:

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