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yKpoI14uk [10]
3 years ago
13

Which are true if figure DEFG is reflected across the x-axis? Check all that apply.

Mathematics
2 answers:
meriva3 years ago
7 0

Answer: The correct options are 1,2 and 3.

Explanation:

If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.

According to the reflection rule across the x-axis,

(x,y)\rightarrow(x,-y)

From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).

After reflection,

D(0,4)\rightarrow D'(0,-4)

E(-2,0)\rightarrow E'(-2,0)

Therefore the option 1 and 2 are correct.

From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.

Therefore, the option 3 is correct.

From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.

Therefore, the option 4 is incorrect.

From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.

EleoNora [17]3 years ago
5 0

<u>1st</u>, <u>2nd</u>, and <u>3rd</u> are correct:)

Have an awesome day!

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Combine the like terms to create an equivalent expression: \large{-k-(-8k)}−k−(−8k)minus, k, minus, (, minus, 8, k, )
PIT_PIT [208]

Answer:

7k

Step-by-step explanation:

The given expression is

-k-(-8k)

We need to find the simplified form of the given expression.

Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.

The given expression can be rewritten as

-k+8k

On combining like terms we get

(-1+8)k

7k

Therefore, the equivalent expression of the given expression is 7k.

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3 years ago
Labeling Parts of a Circle
mel-nik [20]

Answer:

Click on the screenshot, I labeled the parts

Hope this helps :))

7 0
2 years ago
Find the circumference of a circle with an area of 676pi
saveliy_v [14]

Answer:

The circumference of the circle is 52π

Step-by-step explanation:

To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of ​​a circle and we will clear the radius

a = area = 676π

r = radius

a = π * r²

we clear r

r = √(a/π)

now we replace the known values

r =  √(676π/π)

r = √(676)

r = 26

now we use the formula to calculate the circumference of a circle

c = π * 2r

c = π * 2 *  26

c = 52π

The circumference of the circle is 52π

6 0
3 years ago
Read 2 more answers
Which equation represents an exponential function that passes through the point (2, 80)?
Lena [83]

The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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4 0
2 years ago
What is 75.4 in expanded form
Shalnov [3]

Answer: 75.4 =

 70  

+ 5  

+   0.4

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
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