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ki77a [65]
3 years ago
13

The length, L, of a steel rod is 7.36 m, correct to 2 decimal places. complete the error interval for,L

Mathematics
1 answer:
wel3 years ago
8 0

Answer:

The error interval for L is

[7.355,7.365)

Step-by-step explanation:

we know that

In this problem

The least significant digit is in the hundredths place.

so

The error can be as much  0.005 m

Determine the lower bound

To find out the lower bound subtract the error from the value

so

7.36 - 0.005 = 7.355

Determine the upper bound

To find out the upper bound adds the error to the value

so

7.36 + 0.005 = 7.365

Since 7.365 is rounded up to 7.37, the maximum value of L must be less than that.

therefore

7.355\ m \leq L < 7.365\ m

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Step-by-step explanation:

m = -3

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y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

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2. CB = FE

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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
EastWind [94]

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

Answer:  \textsf{y = -1/4x - 4}

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

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

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  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
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Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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