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2 years ago

Plot the image of quadrilateral ABCD under a reflection across the x-axis

Mathematics

1 answer:

N76 [4]2 years ago

7 0

The image of quadrilateral ABCD after a reflection over the x-axis around the origin is A = (1, -4), B = (-4, -2), C = (-5, 4) and D = (-2, 1)

<h3>How to determine the image of quadrilateral ABCD after a reflection over the x-axis around the origin?</h3>

From the graph, the coordinates of the quadrilateral ABCD are:

A = (1, 4)

B = (-4, 2)

C = (-5, -4)

D = (-2, -1)

The rule of a reflection over the x-axis around the origin is

(x, y) = (x,- y)

When the above rule is applied, we have the image to be:

A = (1, -4)

B = (-4, -2)

C = (-5, 4)

D = (-2, 1)

Hence, the image of quadrilateral ABCD after a reflection over the x-axis around the origin is A = (1, -4), B = (-4, -2), C = (-5, 4) and D = (-2, 1)

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Apply the properties of operations to find an equivalent expression for finding the total cost of the clothes.

levacccp [35]

Answer:

Total cost of the clothes = 4x + 2y

Total cost of the clothes = 2y + 4x

B. Total cost of the clothes = 6x + 4y

Total cost of the clothes = 4y + 6x

Step-by-step explanation:

Meredith bought 4 T-shirts and 2 pairs of pants. If x is the cost of one T-shirt and y is the cost of one pair of pants, she’ll have to multiply the number of T-shirts by x and the number of pants by y to find the total cost of the clothes.

Write an expression for finding the total cost of the clothes?

Apply the properties of operations to find an equivalent expression for finding the total cost of the clothes?

B. Write an expression for finding the total cost of the clothes if Meredith bought 6 T-shirts and 4 pairs of pants. Also write an equivalent expression for that expression?

Let

x = cost of one T-shirt

y = cost of one pair of pants,

Total cost of the clothes = 4x + 2y

Equivalent expression for finding the total cost of the clothes?

Switch the cost of T-shirt and cost of one pair of pants

Total cost of the clothes = 2y + 4x

B. Total cost of the clothes = 6x + 4y

Equivalent expression for finding the total cost of the clothes?

Total cost of the clothes = 4y + 6x

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3 years ago

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The sum of two consecutive odd integers is 96. what is the product of these integers?

liubo4ka [24]

Answer:

47 and 49

Step-by-step explanation:

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3 years ago

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What value is equivalent to 30 − 2^3 × 3?

wlad13 [49]

30
−
(
2
3
)
(
x
3
)
=
30
+
−
8
x
3

=
−
8
x
3
+
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3 years ago

The femur is the upper leg bone, and the tibia is one of the lower leg bones. the average length of the fumer is 50.5 cm,and the

Vilka [71]

50.5 cm + 43.03 cm = 93.53

7 0

2 years ago

The data below are times (in seconds) recorded when statistics students participated in an experiment to test their ability to d

RoseWind [281]

Answer:

Mean = 58.25

Median = 57.5

Mode = 49

Step-by-step explanation:

We are given the following data set:

55, 51, 74, 61, 67, 60, 49, 49

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{466}{8} = 58.25$

Sorted data:

49, 49, 51, 55, 60, 61, 67, 74

Mode is the entry with highest frequency.

49 appeared two times.

Mode = 49

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

$\text{Median} = \dfrac{55+60}{2} = 57.5$

All these are less than 60 seconds, which indicates that students perceive 1 minute to pass sooner than it actually has.

8 0

3 years ago