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djverab [1.8K]
2 years ago
9

Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below:

Mathematics
1 answer:
LenKa [72]2 years ago
7 0

Answer:

  (a)  Reflection across the y-axis, followed by translation 10 units down

Step-by-step explanation:

Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.

Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.

Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.

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(9t + 1) + 7(1 + 9t)<br><br> Complete the missing expressions!!
gavmur [86]

Answer:

Step-by-step explanation:

Distribute:

=9t+1+(7)(1)+(7)(9t)

=9t+1+7+63t

Combine Like Terms:

=9t+1+7+63t

=(9t+63t)+(1+7)

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8 0
3 years ago
Vector upper a overscript right-arrow endscripts has a magnitude of 69 units and points due west, while vector upper b overscrip
Tom [10]
Refer to the figure below.

Define unit vectors as follows:
\hat{i} in the eastern direction
\hat{j} in the northern direction

Given:
Vectors a and b point due west and south respectively. Therefore
\vec{a} = -69 \ht{i} \\&#10;\vec{b} = -69\hat{j}

Part (a)
\vec{a}+\vec{b}=-69\hat{i}-69\hat{j}=-69(\hat{i}+\hat{j})
The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
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Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.

Part (b).
\vec{a} - \vec{b} = -69\hat{i}+69\hat{j}=-69(\hat{i} -\hat{j})
The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.

Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.

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3 years ago
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irga5000 [103]
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svp [43]

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Step-by-step explanation:

The curved surface is the top part and the circular face is the bottom.

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geniusboy [140]

Answer: it is 10 over 100

Step-by-step explanation:

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