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3 years ago

Write the following equation without using an absolute value sign. |y-x|, if y>x

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

y-x $\leq$ 0 and y-x $\geq$ 0

Step-by-step explanation:

As we know,

Absolute value of any given number is the positive number itself. Therefore,

y-x $\leq$ 0 and y-x $\geq$ 0

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3 years ago

Cube-shaped blocks are packed into a cube-shaped storage container. The edge length of the storage container is 212 feet. The

igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

$2\dfrac{1}{2}\text{ feet}$

Edge length of block =

$\dfrac{1}{5}\times \text{Edge length of container}$

Putting value we get,

Edge length of block =

$\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}$

Volume of cube-shaped block = Volume of cube

$V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}$

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0

3 years ago

A calculator displays a result as 1.3540980 107 kg. the estimated uncertainty in the result is Â±2%. how many digits should be i

yan [13]

<span>2 significant digits.

Let's see what the range of possible values you can have for 1.3540980 if your uncertainty is +/- 2% 2% of 1.3540980 = 0.02 * 1.3540980 = 0.027082 So the lowest possible value for your result is 1.3540980 - 0.027082 = 1.327016 The largest possible result is 1.3540980 + 0.027082 = 1.38117996 Notice that only the 1st 2 digits of the result match which is reasonable since a 2% error means that your result is only accurate to within 1 part in 50.</span>

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3 years ago

Write an equation in standard form for the line that has undefined slope and passes through (-6, 4)

Nikitich [7]

Answer:

y = ix + 6i + 4

Step-by-step explanation:

Since the line has undefined slope or indefinite slope we connote that the slope is (i)

Slope(m) of straight line = change in y ÷ change in x

Taking another point (x,y) on the line:

i = $\frac{y - 4}{x - -6}$

i = $\frac{y - 4}{x + 6}$

Cross multiplying gives;

y - 4 = ix + 6i

y = ix + 6i + 4

6 0

3 years ago

Give an example of an equation of a line that is parallel to y=3?

SOVA2 [1]

Answer:

y = 2

Step-by-step explanation:

Hope this helped

7 0

3 years ago