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2 years ago

1. Is a rotation of 180° the same as a reflection over the y-axis? Please justify your answer in complete sentences.

Mathematics

1 answer:

sp2606 [1]2 years ago

5 0

Answer:

Not the same.

Step-by-step explanation:

Given that there is a rotation of 180 degrees . To check whether this is a reflection over the y axis.

Reflection over the y axis make the coordinates (x,y) as (-x,y)

i.e. this means rotation of 180 degrees about the origin anticlockwise.

Hence just rotation of 180 degrees is not the same as a reflection over y axis.

The conditions are:

i) 180 degree to be rotated anticlockwise

ii) Rotation is about the origin

Hence a rotation of 180 degrees need not always be the same as reflection over y axis.

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Nat2105 [25]

Answer:

That sucks

Step-by-step explanation:

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3 years ago

Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a

LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- $5x+2y=50$

Equation 2- $x+2y=30$

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- $5x+2y=50$

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- $x+2y=30$

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

$5x+2y-x-2y=50-30$

$4x=20$

$x=\frac{20}{4}$

$x=5$

Put value of x in equation 2

$x+2y=30$

$5+2y=30$

$2y=25$

$y=\frac{25}{2}$

$y=12.5$

Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5

4 0

2 years ago

Read 2 more answers

After page 182 in a book came page 187. How many pages were missing ?

WITCHER [35]

5 pages because 187-182=5

6 0

3 years ago

Read 2 more answers

What’s the least common denominator of 8,12

IceJOKER [234]

Answer: 24

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Hope this helps!!! Good luck!!! :)

4 0

3 years ago

Can someone check my answers? I'm not sure I have them all right...

Semmy [17]

<span>What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?

(0, 4, 0)

Which equation has intercepts at X(1, 0, 0), Y(0, 1, 0), and Z(0, 0, 2)?

2x + 2y + z = 2

Which equation is equivalent to x + 3y + z = 3?

4x + 12y + 4z = 12

Which of the following points lies in the plane 3x + 2y + 4z = 12?

(4, 3,2)

Hope these answer the questions. Have a nice day.</span>

3 0

2 years ago