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4 years ago

rotate the triangle 90 degree Counterclockwise around the origin. Find the coordinates of point C in the image after rotation.

Mathematics

1 answer:

Brrunno [24]4 years ago

3 0

Answer:

Option (6)

Step-by-step explanation:

Coordinates of the vertices are,

A(1, 1), B(1, 4) and C(3, 1)

Rule for the rotation of a point by 90° counterclockwise about the origin is,

(x, y) → (-y, x)

Therefore, after the transformation the new vertices of the triangle will be,

A(1, 1) → A'(-1, 1)

B(1, 4) → B'(-4, 1)

C(3, 1) → C'(-1, 3)

Therefore, after rotation coordinates of point C will be,

C'(-1, 3)

Option (6) will be the correct option.

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Two people were standing on a tight rope.

azamat

Answer:

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Step-by-step explanation: hope this helps

7 0

3 years ago

Read 2 more answers

You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle

zhenek [66]

Answer:

A'(-1,-3)

B'(-2,-2)

C'(-4,-3)

Step-by-step explanation:

The rotation by 90° counterclockwise about the origin has the rule

$(x,y)\rightarrow (-y,x)$

So, the vertices of the triangle ABC have the images:

$A(-3,1)\rightarrow A'(-1,-3)\\ \\B(-2,2)\rightarrow B'(-2,-2)\\ \\C(-3,4)\rightarrow C'(-4,-3)$

see attached diagram for details.

8 0

3 years ago

Andrew bought 3 baseball cards for $240. After a few months, he got an offer from his friend Jack to buy the first card for doub

Dominik [7]

First we define variables:
x = first card original value
y = second card original value
z = third card original value
We write the system of equations:
Andrew bought 3 baseball cards for $ 240:
x + y + z = 240
the first card (at its original value) along with the second card (at its original price) and got $ 320:
2x + y = 320
the first card (at its original value) card along with the third card (at its original price) would have only got him $ 280:
2x + z = 280
Solving the system we have:
x = 120
y = 80
z = 40
Answer:
The original prices for each of the 3 baseball cards is:
(120, 80, 40)

8 0

3 years ago

Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of

Eva8 [605]

Answer:

The maximum revenue Luci can make selling cookies in one day is $2,000.

The price she should sell the cookies to make the maximum revenue is $1

Step-by-step explanation:

W are given the following in the question:

x= -2000 p + 4000 ................ (1)

Therefore, revenue can be obtained as follows:

Revenue = R = px = p(-2000 p + 4000) = -2000p^2 + 4000p ........... (2)

Differentiating equation (2) with respect to p and equate to 0, we have:

dR / dp = -4000p + 4000 = 0 ................. (3)

From equation (3), we solve for p as follows:

-4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies that the price she should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into (2), we have:

Revenue = (-2000 * 1^2) + (4000 * 1)

Revenue = -2000 + 4000

Revenue = 2000

Therefore, this implies that the maximum revenue Luci can make selling cookies in one day is $2,000.

5 0

3 years ago

Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of

Lena [83]

sub B = (x,y)

midpoint= ( (x-2)/2, (y+2)/2 )

(x-2)/2=1 and (y+2)/2=0

x-2=2 and y+2=0

x=4 and y= -2

B= (4,-2)

5 0

3 years ago