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ziro4ka [17]
3 years ago
14

What will be the new position of the given point after rotating 180 about the origin

Mathematics
2 answers:
quester [9]3 years ago
5 0

Answer:

<em>" Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k) " .</em>

Hence, the rotations of the given point could be represented by the help of the figure attached to the answer.

Hence in the first part the given point is in first quadrant but after the rotation it will move to third quadrant.

similarly in second option the point is in third quadrant and hence it will transform to the first quadrant.

and in last position the point is in fourth quadrant and hence it will transform to second after rotation by 180 degree.


leva [86]3 years ago
4 0

Answer: a) First quadrant


Step-by-step explanation:

From the given picture, the position of the given point is in third quadrant.

Every point in third quadrant are in the form of (-a,-b), where a and b are any positive numbers [both x and y axis are negative there]

Also after rotation of 180° the point (x,y) will map to (-x,-y)

therefore, after rotation of 180° the point (-a,-b) will map to

(-(-a),-(-b))=(a,b), where a and b are any positive numbers

Thus, the coordinate of image point =(a,b)

Since both x and y coordinate of the image are positive therefore it must lie in the first quadrant.

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480 stickers on 6 sheets or 120 stickers on 2 sheets? Which is the greater.
nlexa [21]
480 stickers on 6 sheets is greater because 480 divided by 6 is 80, whole 120 divided by 2 is 60
7 0
3 years ago
Order the side lengths from least to greatest
Liula [17]

Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

In the triangle BCE,

m∠BEC + m∠BCE + m∠CBE = 180°

m∠BEC + 81° + 54° = 180°

m∠BEC = 180 -  135

m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

             = 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

             = 34°

Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

7 0
3 years ago
In which geometry is there no line parallel to a given line through a point not on the line?
tangare [24]

Answer:

Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack
antiseptic1488 [7]

Answer:

<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.

So,  1 yard, 2 feet and 4 inches =[(1*36)+(2*12)+4]inches = 64 inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>  =(64*29) inches= 1856 inches.

Now....

1856 inches

=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0
3 years ago
7x - 20 = 2x - 3(3x + 2)
kirill [66]

Answer:

7x-20=2x-3(3x+2)

We move all terms to the left:

7x-20-(2x-3(3x+2))=0

We calculate terms in parentheses: -(2x-3(3x+2)), so:

2x-3(3x+2)

We multiply parentheses

2x-9x-6

We add all the numbers together, and all the variables

-7x-6

Back to the equation:

-(-7x-6)

We get rid of parentheses

7x+7x+6-20=0

We add all the numbers together, and all the variables

14x-14=0

We move all terms containing x to the left, all other terms to the right

14x=14

x=14/14

x=1

   

   

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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