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Law Incorporation [45]
3 years ago
6

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false​

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

Step-by-step explanation:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

For example, if a point P(x, y)  is rotated by 360° about the origin, it would return point P(x, y) to its original position.

i.e.

(x, y) → (x, y)

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

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Choose the symbol that correctly compares the fractions below.<br> 8/9 ? 1/9
gladu [14]

Answer:

Which means that this equation is also true: 8/9 > 1/9

Step-by-step explanation:

Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

1/9 = 0.111

Then, we compare the two decimal numbers to get the answer.

0.889 is not less than 0.111.

Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.

5 0
3 years ago
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

5 0
3 years ago
How many eighths make a quarter
Marianna [84]

Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

6 0
2 years ago
Thank you for you help
Harrizon [31]

the first simple interest will be $1.73 more than the second one.

<h3>Which is the difference between the two interests?</h3>

The loan is of $575, and there are two options:

7 years at 4.5% or 8 years at 3.9%

Remember that the simple interest formula is:

SI = (P*R*T)/100

Where:

P = principal value.

R = rate (this is the percentage per year)

T = time, in years.

Then for the first option. the interest will be:

SI = ($575*4.5*7)/100 = $181.13

For the second option we will have the interest:

SI'  =( $575*3.9*8)/100 = $179.4

The difference is:

$181.13 - $179.4 = $1.73

This means that the first simple interest will be $1.73 more than the second one.

If you want to learn more about simple interests:

brainly.com/question/20690803

#SPJ1

7 0
1 year ago
Please help me on this problem
tester [92]

Answer:

79.5 in ^3

Step-by-step explanation:

5 times 8 times 2.

40 times 2 equals 80.

2 times 1 times .25 equals .5

80-.5 equals 79.5 in^3

3 0
3 years ago
Read 2 more answers
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