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kumpel [21]
3 years ago
6

In the pre-image of the parallelogram, the slope of AD is −3 and the slope of BC is −3. The image is translated down 7 units and

then reflected over the y−axis.
The slope of A"D" is .
The slope of B"C" is .
What can you determine about the line segments A"D" and B"C"?
Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0

Answer:

The slope of A''D'' is 3

The slope of B''C'' is 3

And they are parallel

Step-by-step explanation:

Just took the test

worty [1.4K]3 years ago
6 0

Answer:

a)The slope of A"D" is 3

The slope of B"C" is 3

b) The line segments A"D" and B"C" are congruent and parallel.

Step-by-step explanation:

The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3.

Since translation and reflection are rigid transformations, the preimage and the image are congruent.

This means that the lengths of the corresponding sides are equal.

Hence AD=A"D'' and B"C"=BC

However, since the image after a reflection in the y-axis is laterally inverted, the slope of A"D" will be negative of the slope of AD.

Similarly, the slope of B"C" will be negative of the slope of BC.

The slope of A"D" is 3

The slope of B"C" is 3

Since the two line segments have the same slope, they are parallel.

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A cannon ball has been catapulted through the air and follows the path created by the
aksik [14]

Answer:

the cannon ball's maximum height is 21 meters rounded to the nearest whole number

Step-by-step explanation:

6 0
3 years ago
A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
The sum of three consecutive odd numbers is 69. What is the biggest number?
ohaa [14]

Answer:

25 is the answer

Step-by-step explanation:

21 23 25

6 0
3 years ago
18. Two planes left an airport at the same time. One flew north at a set speed and the other
Andre45 [30]

Answer: plane A = 333.33mph

Plane B = 500mph

Step-by-step explanation:

Given data:

Distance between the two planes = 2400miles.

Plane A flew North

Plane B flew south

Solution:

Let v represent plane A.

Let 2v represent plane B.

Distance between the two plane

v + 1.5* v = 3*v

7.5v = 2500miles

v = 333.33mph

Plane B has one and half times the speed of plane A

= 1.5 * 333.33

= 500mph

4 0
3 years ago
The graph of an exponential function has a y-intercept of 7 and contains the point (4,112). Construct the exponential function T
blondinia [14]

The exponential function that describes the graph is y=7\cdot 2^x

The standard form of an exponential function is expressed as y=ab^x

a is the y-intercept

(x, y) is the point on the graph

Given the following expression

a = 7

(x, y) = (4, 112)

Substitute the given values into the exponential equation

y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2

Get the required exponential equation

Recall that y=ab^x, hence the required equation will be y=7\cdot 2^x

Learn more here: brainly.com/question/19245707

3 0
2 years ago
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