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andrew-mc [135]
3 years ago
11

Which expression shows the distance on a number line between -12 and-1

Mathematics
2 answers:
Sveta_85 [38]3 years ago
7 0

The distance between A and B = |B - A|

We have -12 and -1.

Substitute:

|-1 - (-12)| = |-1 + 12| = |11| = 11

<h3>Answer: 11 units.</h3>
cluponka [151]3 years ago
5 0

Answer:

|-12-(-1)| or |-1-(-12)|

Step-by-step explanation:

If a and b are two points lie on a number line, then the distance between a and b is defined by the expression |a-b| or |b-a|.

We need to find an expression that shows the distance on a number line between -12 and -1.

Here a = -12 and b = -1. So, the distance between -12 and -1 is defined by the expression

|-12-(-1)|

On simplification we get

|-12+1|

|-11|

11

The required expression can be written as  |-1-(-12)|.

Therefore the required expression is |-12-(-1)| or |-1-(-12)|, and the distance between -12 and -1 is 11 units.

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C = 80 + 4^3/3 - 3*4^2/2

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DaniilM [7]

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Yes

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2 years ago
I need the answers for these pls help
DanielleElmas [232]

Answer:

1)

A. m arc QRS = 100°

B. m arc QRT = 255°

C. m arc UTS = 180°

D. m arc UTR = 205°

2)

1] The major arc CA = 255°

2] The minor arc AB = 90°

Step-by-step explanation:

In a circle:

  • The measure of an central angle is equal to the measure of its subtended arc
  • The measure of a circle is 360°
  • Any chord divides a circle into two arcs, a minor arc its measure is < 180° and a major arc its measure is > 180°, the sum of the measures of the minor and major arcs is 360°
  • If the measures of the minor and major arcs are equal, then each arc represents a semi-circle

1)

In circle O

A.

∵ m∠QOR = 75°

∵ ∠QOR subtended by arc QR

- By using the 1st note above

∴ m of arc QR = m∠QOR

∴ m of arc QR = 75°

∵ m∠ROS = 25°

∵ ∠ROS subtended by arc RS

∴ m of arc RS = m∠ROS

∴ m of arc RS = 25°

The measure of arc QRS is the sum of the measures of arcs QR and RS

∴ m arc QRS = 75° + 25° = 100°

B.

∵ m∠SOT = 155°

∵ ∠SOT subtended by arc ST

∴ m of arc ST = m∠SOT

∴ m of arc ST = 155°

The measure of arc QRT is the sum of the measures of arcs QR, RS and ST

∴ m arc QRT = 75° + 25° + 155 °= 255°

C.

∵ m∠UOT = 25°

∵ ∠UOT subtended by arc UT

∴ m of arc UT = m∠UOT

∴ m of arc RUT = 25°

The measure of arc UTS is the sum of the measures of arcs UT and TS

∴ m arc UTS = 25° + 155° = 180°

D.

The measure of arc UTR is the sum of the measures of arcs UT, TS and SR

∴ m arc UTR = 25° + 155° + 25 = 205°

2)

1]

∵ The sum of the measures of the minor and major arcs is 360°

∵ m of minor arc AC = 105°

- Subtract 105 from 360° to find the measure of the major arc CA

∴ m of major arc CA = 360° - 105°

∴ m of major arc CA = 255°

2]

∵ m of major arc AB = 270°

- Subtract 270° from 360° to find the measure of the minor arc AB

∴ m of minor arc AB = 360° - 270°

∴ m of minor arc AB = 90°

8 0
3 years ago
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