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3 years ago

Quadrilateral A'B'C'D'is the image of quadrilateral of ABCD under a rotation of about the origin (0,0)

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

The answer is option is C

Step-by-step explanation:

In this problem we have a couterclockwise about the origin

Verify

Option D

rotation 90 degrees counterclockwise

(x,y) -------> (-y,x)

so,

A(-2,3) ---------> A'(-3,-2) ---------> is not ok

therefore, the answer is option is C

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There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

4 years ago

An item costs n dollars. If the price of the item increases by 25%, the new price can be represented by the expression n + 0.25n

Schach [20]

Explanation

I saw this answer in a different question today.

Moreover, 1n + 0.25n = 1.25n

4 0

3 years ago

Read 2 more answers

Students surveyed about birthdays. How many more students were born on monday than friday?

Varvara68 [4.7K]

C) 2 students
Explanation
Take Monday’s amount and subtract Friday’s
3-1=2

3 0

3 years ago

Find the common difference of the arithmetic sequence. 4,32/3,31/3,3<br> The common difference is

ale4655 [162]

2 is the common difference

3 0

3 years ago

Solve the system by graphing

Marta_Voda [28]

$\left\{\begin{array}{ccc}-2x=2y-4\\2x-y=-5\end{array}\right\\\\2y-4=-2x\ \ \ \ |+4\\2y=-2x+4\ \ \ \ |:2\\y=-x+2\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\for\ x=2\to y=-2+2=0\to(2,\ 0)\\\\2x-y=-5\ \ \ \ |-2x\\-y=-2x-5\ \ \ \ |\cdot(-1)\\y=2x+5\\for\ x=0\to y=2(0)+5=5\to(0,\ 5)\\for\ x=-2\to y=2(-2)+5=1\to(-2,\ 1)\\\\Answer:\ (-1,\ 3)\to\ x=-1,\ y=3$

7 0

3 years ago