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Ne4ueva [31]
3 years ago
11

After you measure the dimensions of a plot of land with a steel tape on a hot day, you come back and re-measure on a cold day. O

n which day do you determine the larger area for the land?
Mathematics
1 answer:
Inga [223]3 years ago
6 0

a. The temperature will make no difference in your measurement.

b. You measure a larger area on a cold day.

c. You measure a larger area on a hot day.

You measure a larger area on a cold day.

Answer: Option B.

<u>Explanation:</u>

The universal standard temperature for dimensional estimations is institutionalized in ISO 1 as 20 degrees Celsius (°C). The announcement above is from the US tolerating standard, and shows that all drawings that have measurement set apart on them, naturally, allude the to measurements at 20°C.

The temperature influences the volume as well as the speed of the substance response. Now and again, lower temperatures produce results that are excessively low; higher temperatures, interestingly, may deliver results that are excessively high.

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If you want to place a 9 3/4 inch towel bar in the center of a door that is 27 1/2 wide, how much space will be on each side of
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What is the equation of a line that passes through the point?
Artist 52 [7]
<h3>Answer: 3x-2y = 5 (choice A)</h3>

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

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

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

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

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

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

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

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0
3 years ago
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