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3 years ago

Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

Mathematics

2 answers:

lozanna [386]3 years ago

8 0

Answer:

Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y

Explanation:

The reflection across the x axis would produce A'B'C' then the translation of -6 units x and -2 units y would move the shape to A"b"C"

MaRussiya [10]3 years ago

4 0

Answer:

<h2>Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.</h2>

Step-by-step explanation:

To find the right order in this transformations from ΔABC to ΔA"B"C", we first need to consider that the initial figure is ΔABC, which is transformed to ΔA'B'C', and then to ΔA''B''C''.

So, from the image we can see that from ΔABC to ΔA'B'C', the transformation applied is reflection across the x-axis, because ΔA'B'C' is an inverted image of the original, like a mirror.

Then, from ΔA'B'C' to ΔA''B''C'', we can see that the transformation is a combination of translations, to the left side and down side. From the graph we can see that it moved exactly, 6 negative units in the direction of the x-axis, and 2 negative units in the direction of the y- axis, in other words, it moved 6 units to the left and 2 units down.

Therefore, the correct answer is the second one:

Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.

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Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.

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Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

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(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

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3 years ago

Kate decides to replace all the lights in her college apartment with energy saving light bulbs beginning this month. The packagi

tatyana61 [14]

Answer:

Kate's electric bill will be $9 for this month for bulb use only.

Step-by-step explanation:

Given:

Electricity bill lass month from bulb use = $12

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We need to find this month electric bill for bulb use.

Solution:

First we will find the reduction in bill after using new bulbs.

reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.

framing in equation form we get;

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Now we will find this month electric bill for bulb use only.

this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.

framing in equation form we get;

this month electric bill for bulb use only = $\$12-\$3=\$9$

Hence Kate's electric bill will be $9 for this month for bulb use only.

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3 years ago

A frog leaps 24 inches. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function mode

Ivanshal [37]

The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
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