Mathematics, 23.07.2020 20:01 lalanduni

~khan academy 7th grade Which of the following expressions represents the distance between 1.71.7 1.7 1, point, 7 and −12-\dfrac{1}{2} − 2 1 minus, start fraction, 1, divided by, 2, end fraction on a number line? Choose 1 Choose 1 (Choice A) A ∣1.7−12∣\left\lvert 1.7 -\dfrac{1}{2}\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7− 2 1 ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, start fraction, 1, divided by, 2, end fraction, close vertical bar (Choice B) B ∣1.7−(−12)∣\left\lvert 1.7 - \left(-\dfrac{1}{2}\right)\right\rv ert ∣ ∣ ∣ ∣ ∣ 1.7−(− 2 1 ) ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis, close vertical bar (Choice C) C None of the above

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Answers

The expression that represents the distance between 1.7 and -0.5 is given by |1.7 - (-0.5)| and this can be determined by using the arithmetic operations.

Given :

Numbers -- 1.7 and -0.5

The distance between two points 1.7 and -0.5 is given by:

Distance = 1.7 + |-0.5|

= 2.2

Now, check all the options in order to determine the correct option:

A) |1.7 - 0.5|

Simplify the above expression.

|1.7 - 0.5| = 1.2

B) |1.7 - (-0.5)|

Simplify the above expression.

|1.7 - (-0.5)| = |1.7 + 0.5| = 2.2

Therefore, the correct option is B).

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Answer from: naomirice24

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1

$A.\ |1.7 - 1/2|$

$B.\ |1.7 -(-1/2)|$

C. None of the above

$B.\ |1.7 -(-1/2)|$

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

Difference = 1.7 - (-1/2)

Then, we calculate the distance;

In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;

Hence,

Distance = |Difference|

Substitute 1.7 - (-1/2) for Difference;

Distance = |1.7 - (-1/2)|

Hence, the correct option is B

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is