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astraxan [27]
2 years ago
9

What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
3 0

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

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Let x represent the number of bricks and y represent the number of blocks.  Each brick costs $0.38; this gives us the expression 0.38x.  Each block costs $1.56; this gives us the expression 1.56y.  Together they totaled $24.80; this gives us the equation

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