Emma took a taxi from the airport to her house.

2 answers:

8 0

Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
$5 + 3.7d = 42$

Subtract 5 from both sides.
$3.7d = 37$

Divide both sides by 10.
$d = \frac{37}{3.7} = 10$

Therefore, Emma had a taxi ride of 10 miles.

mote1985 [20]3 years ago

8 0

the answer is 5+3.7*d=42

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Jerry jogs the same round trip path everyday. He jogs 0.7 miles to the park and then 0.5 miles from the park to the playground.

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19. Describe the sequence of transformations from quadrilateral WXYZ to W"X"Y"Z"

Tpy6a [65]

Answer:

The sequence is as following:

1. Reflection 180°

2. Reflection over the line x=5

3. Translation 2 units down.

Step-by-step explanation:

The question is as following:

Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.

The picture is a coordinate plane with

W= (-8,8)

X= (-2,8)

Y= (-2,4)

Z= (-8,4)

W”= (2,-10)

X”= (8,-10)

Y”= (8,-6)

Z”= (2,-6)

=================================

See the attached figure

The sequence is:

Reflection 180° ⇒ Reflection over the line x=5 ⇒ translation 2 units down.

Rule of reflection 180° is (x, y) → (–x, –y)

Rule of reflection over the line x=5 is (x, y) → (–x+10 , y)

Rule of translation 2 units down is (x, y) → (x , y–2)

The way of thinking:

1. The rectangle at the second quadrant, we need make it at the fourth quadrant, so, the suitable is Reflection 180°

2. After reflection 180°, it is noticed that we need reverse the vertices so we need to make a reflection over its vertical axis which is at x = 5

3. We need to translate it 2 units down to overlap with the required coordinates.

Check the points:

W(-8,8) ⇒ (8,-8) ⇒ (2,-8) ⇒ (2,-10)⇒W"

X(-2,8) ⇒ (2,-8) ⇒ (8,-8) ⇒ (8,-10)⇒X"

Y(-2,4) ⇒ (2,-4) ⇒ (8,-4) ⇒ (8,-6)⇒Y"

Z(-8,4) ⇒ (8,-4) ⇒ (2,-4) ⇒ (2,-6)⇒Z"