All categories

3 years ago

What transformation is represented by the rule (x, y)→(−y, x) ?

Mathematics

2 answers:

amid [387]3 years ago

8 0

Linear functions? I'm pretty sure it means a reflection of a line

notsponge [240]3 years ago

5 0

Answer:

reflection across the x-axis rotation of 180° about the origin reflection across the y-axis rotation of 90° clockwise about the origin.

Step-by-step explanation:

You might be interested in

Use a net to find the surface area of the prism.

BartSMP [9]

Surface Area= Length × hypotenuse+ length × width+2(1/2 base × height)+Lenght×base

Surface Area= 19×25+19×7+24×7+19×24

SA=1232 m²

8 0

2 years ago

Use a table, a graph and an equation to represent this relationship

erastova [34]

Answer:

can I see the graph? to answer the question

4 0

2 years ago

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 9); Solution point: (−2, 21)

aleksklad [387]

Given:

Center of a circle is (3,9).

Solution point is (-2,21).

To find:

The standard form of the circle.

Solution:

Radius is the distance between center (3,9) and the solution point (-2,21).

$r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(-2-3)^2+(21-9)^2}$

$r=\sqrt{(-5)^2+(12)^2}$

$r=\sqrt{25+144}$

On further simplification, we get

$r=\sqrt{169}$

$r=13$

The radius of the circle is 13 units.

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center and r is the radius.

Putting h=3, k=9 and r=13, we get

$(x-3)^2+(y-9)^2=(13)^2$

$(x-3)^2+(y-9)^2=169$

Therefore, the standard form of the circle is $(x-3)^2+(y-9)^2=169$ .

4 0

2 years ago

swat32

Answer:

Step-by-step explanation:

She did not keep the order of the points the same in the numerator and the denominator.

I hope this helps!

...............................................................................................................................................

slope is y2-y1/x2-x1

if this was set up correctly it would be 17 - 1/18 - 14

The student simply switched the places of the y change calculation.

...............................................................................................................................................

The answer is D. She should have used 8-1 as the denominator since she used 17-14 as the numerator.

...............................................................................................................................................

Answer:

The answer is the option D.) she did not keep the order of the points the same in the numerator and the denominator

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

Let

Substitute the values

3/7

8 0

2 years ago

If A, B, and C are integers between 1 and 10 (inclusive), how many different combinations of A, B, and C exist such that A

Marianna [84]

$\fontsize{18}{10}{\textup{\textbf{The number of different combinations is 120.}}}$

Step-by-step explanation:

A, B and C are integers between 1 and 10 such that A<B<C.

The value of A can be minimum 1 and maximum 8.

If A = 1, B = 2, then C can be one of 3, 4, 5, 6, 7, 8, 9, 10 (8 options).

If A = 1, B = 3, then C has 7 options (4, 5, 6, 7, 8, 9, 10).

If A = 1, B = 4, then C has 6 options (5, 6, 7, 8, 9, 10).

If A = 1, B = 5, then C has 5 options (6, 7, 8, 10).

If A = 1, B = 6, then C has 4 options (7, 8, 9, 10).

If A = 1, B = 7, then C has 3 options (8, 9, 10).

If A = 1, B = 8, then C has 2 options (9, 10).

If A = 1, B = 9, then C has 1 option (10).

So, if A = 1, then the number of combinations is

$n_1=1+2+3+4+5+6+7+8=\dfrac{8(8+1)}{2}=36.$

Similarly, if A = 2, then the number of combinations is

$n_2=1+2+3+4+5+6+7=\dfrac{7(7+1)}{2}=28.$

If A = 3, then the number of combinations is

$n_3=1+2+3+4+5+6=\dfrac{6(6+1)}{2}=21.$

If A = 4, then the number of combinations is

$n_4=1+2+3+4+5=\dfrac{5(5+1)}{2}=15.$

If A = 5, then the number of combinations is

$n_5=1+2+3+4=\dfrac{4(4+1)}{2}=10.$

If A = 6, then the number of combinations is

$n_6=1+2+3=\dfrac{3(3+1)}{2}=6.$

If A = 7, then the number of combinations is

$n_7=1+2=\dfrac{2(2+1)}{2}=3.$

If A = 3, then the number of combinations is

$n_8=1.$

Therefore, the total number of combinations is

$n\\\\=n_1+n_2+n_3+n_4+n_5+n_6+n_7+n_8\\\\=36+28+21+15+10+6+3+1\\\\=120.$

Thus, the required number of different combinations is 120.

Learn more#

Question : ow many types of zygotic combinations are possible between a cross AaBBCcDd × AAbbCcDD?

Link : https://brainly.in/question/4909567.

8 0

3 years ago