Point C is located at (4,3)
When rotating 90 degrees counterclockwise Change the X value to the new Y value and then take the opposite of the Y value and make it the x value.
Point C' becomes ( -3,4)
The thing that best describes the values of x and y is option B; they will be real numbers greater than or equal to 0.
<h3>What is a Real Number?</h3>
The real number refers to the union of both rational and irrational numbers that can have negative or positive values.
From the given information:
Peaches are being bought and sold for $2 per pound.
There is no negative value used here if x represents the number of pounds of peaches bought and y represents the total cost of the peaches.
Thus, a conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0.
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Answer:
Increasing → (-∞, -0.5)
Decreasing → (-0.5, ∞)
Step-by-step explanation:
From the picture attached,
Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.
Left part from the vertex is increasing and the right side is increasing.
x-coordinates of the vertex,
x = -0.5
Therefore, graph of the function is increasing in the interval (-∞, -0.5)
And decreasing in the interval (-0.5, ∞).
Option third is correct enlarged by a factor of 4 because the distance between two dots is 1.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a star showing in the picture.
We are considering the small star as the original image.
And the big star is the pre-image.
As we know,
The scale factor =
(length of the big star in the x-direction from the origin)/(length of the small star in the x-direction from the origin)
The distance between two dots is 1.
Scale factor = 8/3
As the scale factor is greater than 1 it means the image will be enlarged.
Thus, option third is correct, enlarged by a factor of 4 because the distance between two dots is 1.
Learn more about the geometric transformation here:
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Answer:
I think the answer is 5
BC=5
Step-by-step explanation: