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kramer
3 years ago
7

Which absolute value expression represents the distance between the points shown on the number line?

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

We will take option B.

Step-by-step explanation:

Option A) |4 − 1| = 3 units

Option B) |4 − (−1)| = 5 units

Option C) |−4 + (−1)| = 5 units

Option D) |−4 − (−1)| = 3 units.

Now, from the number line and from the points given on the number line it is clear that the distance from one point to another is 5 units.

So. option B or Option C can be the right one.

Now, the right side point is on +4 point and the left side point is on -1 point.

So, the distance between those points will be calculated as 4 - (- 1) = 5.

Therefore, we will take option B. (Answer)

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The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.
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Answer:

\text{Length of hypotenuse is }\sqrt{41}units

Step-by-step explanation:

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

By Pythagoras theorem,

In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=\sqrt{41}units=6.4units

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at store A, pencils are sold on individually. The cost y of x pencils is represented by the equation y = 0.55x. The costs of pen
Helga [31]

Answer:

The pencils at store A cost more

Step-by-step explanation:

The complete question in the attached figure

store A

we have

y=0.55x

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality is equal to the slope

The slope or unit rate is equal to

m=\$0.55\ per\ pencil

Store B

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality or slope is equal to

k=\frac{y}{x}

For (6,3.06)

substitute

k=\frac{3.06}{6}

m=\$0.51\ per\ pencil

The linear equation at store B is

y=0.51x

<u><em>Verify each statement</em></u>

case 1) The pencils at store A cost more

The statement is true

Because, one pencil at store A cost $0.55 and one pencil at store B cost $0.51

case 2) The pencils at store A cost $0.27 each

The statement is false

Because, one pencil at store A cost $0.55

case 3) The pencils at store B cost $0.30 each

The statement is false

Because, one pencil at store B cost $0.51

case 4) The pencils at store B cost more

The statement is false

Because, pencils at store A cost more

3 0
3 years ago
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