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IRISSAK [1]
3 years ago
6

(02.09) Given a triangle with vertices at points (4, 4), (4, 1), and (2, 1), which set of ordered pairs represents the new verti

ces after a rotation of 90 degrees counterclockwise about the origin?
Mathematics
1 answer:
wel3 years ago
4 0
Hello!

This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.

(x,y)⇒(-y,x)

We will do this to each point and get our final points.

(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)

Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).

I hope this helps!


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6 0
2 years ago
Factor Completely: 3x2 + 9x - 30
enyata [817]

Answer:

3(x-2)(x+5)

Step-by-step explanation:

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8 0
3 years ago
The student council is selling cookies.They buy the cookies from the store for .55 cents each.They sell the cookies for $1 each.
aleksley [76]

Answer:

The percentage of the markup is 82%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of mark up. This is simply calculating the percentage of the profit margin.

firstly to be able to calculate this percentage, we need to know the value of the profit margin itself.

mathematically, the profit margin is selling price - cost price

From the question, the selling price is $1 while the cost price is 55 cents

The profit margin is thus $1 - 55 cents = 45 cents

We now proceed to calculate the percentage profit

mathematically, that is profit/cost price * 100%

That would be 45 cents/55 cents * 100 = 9/11 * 100% = 81.8 approximately 82%

7 0
2 years ago
antonio has a recipe for vegetable soup. He makes 1/2 the recipe. If the recipe calls for 3 2/3 cups of water, how much water sh
Sophie [7]
1 5/6 because you have to first find half of 3 which is 1 1/2 then you have to find half of 2/3 which is 1/3 then you have to find a common denominator then add. After that simplest form.
6 0
3 years ago
What is the radius of the circle: (x+1)^2+(y-12)^2=25
lidiya [134]

Answer:

radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here r² = 25 ( take the square root of both sides )

r = \sqrt{25} = 5

4 0
2 years ago
Read 2 more answers
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