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Zina [86]
2 years ago
15

Which rule describes the transformation that is a reflection across the x-axis? (x, y) → (–x, y) (x, y) → (y, x) (x, y) → (x, –y

) (x, y) → (–x, –y)
Mathematics
1 answer:
oksian1 [2.3K]2 years ago
6 0

Answer:

It is (x,-y)

Step-by-step explanation:

you start above the x-axis and go down to the opposite of y.

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Mr Floyd is laying grass squares in his backyard. He will cover the entire yard except for the vegetable garden. How many square
Alenkasestr [34]

Here we can first find the area of yard and then subtract the area of vegetable garden to get the required area.

The formula to find area is given by:

A = l* w

Now we find area of yard:

length is 25 ft and width is 15 ft.

A = 25 * 15

Area of yard = 375 ft²

Area of vegetable garden:

length = 8ft and width =8ft

So the vegetable garden is a square.

Area = 8*8

Area of vegetable garden =64 ft²

Area of backyard to be laid with grass = Area of yard-Area of vegetable garden

Area required = 375 -64 = 311 ft²

Answer : The area of backyard in which grass is to be laid is 311 square feet.

3 0
3 years ago
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He short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches
goldenfox [79]
The sum of two adjacent sides is 11 inches, so the long sides are 9 inches. The "unknown number" must be 12.
7 0
3 years ago
Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder
vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be x and y the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>

4\cdot x +5\cdot y = 32\,oz (Eq. 1)

ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>

x + 8\cdot y = 35\,oz (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

x = 35 - 8\cdot y

(Eq. 2) is (Eq. 1):

4\cdot (35-8\cdot y) + 5\cdot y = 32

140-32\cdot y +5\cdot y = 32

32\cdot y - 5\cdot y = 140-32

27\cdot y = 108

y = 4\,oz

From (Eq. 2):

x = 35 - 8\cdot (4)

x = 35 - 32

x = 3\,oz

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

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2 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
5+8=6+7 true or false​
Romashka-Z-Leto [24]

Answer: True becuase  5+8 equals 13 and 6+7 also equal 13 so that means that they are equal to each other.

Step-by-step explanation:

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