HELP PLEASE, WILL GIVE BRAINILEST Draw a triangle with vertices A(0, 4), B(2, -2), and C(-2, -2). Apply a dilation centered at t
he origin with scale factor to this triangle and draw the resulting triangle,A'B'C'. In complete sentences, describe the following: The relationship between corresponding sides in terms of their lengths. The relationship between corresponding sides in terms of their orientations. The relationship between corresponding angles in terms of their measures. Upload your drawing and your answers to parts 1, 2, and 3 below.
1 answer:
"A dilation centered at the origin with a scale factor to 1/2 from the origin" means that we must join O to all the vertices of the triangle, and make the distances 1/2 of the original triangle. This is shown clearly in the picture.
The coordinates of the new triangle are A'(0,4), B'(1,-1), C'(-1,-1).
The relationship between corresponding sides in terms of their lengths:
The sides of the dilated triangle are half the length of the first triangle.
The relationship between corresponding sides in terms of their orientations.
The two triangles have the same orientation.
The relationship between corresponding angles in terms of their measures.
The two triangles have congruent corresponding angles.
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Recall the half-angle identity:
So in order to find
Answer:
The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
Step-by-step explanation:
We are given the following information in the question:
Charges for 1 hour for Inna = $15
Number of pages typed by Inna in 1 hour = 6
Charges for 1 hour for Jim = $18
Number of pages typed by Jim in 1 hour = 8
Let x be the number of hours Inna work and let y be the number of hours Jim work.
Total cost =
We have to minimize this cost.
Then, we can write the following inequalities:
The corner points as evaluated from graph are: (8,20) and (24,8)
C(8,20) = 480$
C(24,8) = 504$
Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
The attached image shows the graph.
