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Digiron [165]
3 years ago
7

Mahala is standing and fishing on a dock that is 2 1/4 feet above the surface of the water in the pond. Her baited hook is 1.5 f

eet below the surface of the water. The surface of the water is represented by the rational number 0. Use the number line to graph the distance the dock, point D, is above the water and the hook, point H, is below the water. Make sure you label each point appropriately.

Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

The graph is shown below.

Step-by-step explanation:

Take the distance above surface of water as positive and negative for below the surface.

Given:

Distance of dock from the surface of water, D=2\frac{1}{4}=\frac{9}{4}=2.25\textrm{ ft}

Distance of hook from the surface of water, H=-1.5\textrm{ ft}

The surface of water is the reference point and hence it has a value of 0.

Now, on a number line, the values to the left of 0 mark is negative and values to the right are positive.

Therefore, H will lie on the left of 0 mark and D will lie on the right as shown below.

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Step-by-step explanation:

The ten thousandth place is less than 5.

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Step-by-step explanation:

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Step-by-step explanation:

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Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

__

b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

__

c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

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d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

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e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

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Answer:

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Step-by-step explanation:

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