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Reika [66]
3 years ago
15

Which expression is equivalent to -4(x-2)-1/2(2x+6)

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

-5x+5

Step-by-step explanation:

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I believe the answer is D
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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


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Multiply or divide to find two equivalent fractions of 1/2
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Answer:

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Explanation:

Given the fraction 1/2:

(a)Multiply the numerator and denominator by 3

\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}

An equivalent fraction is 3/6.

(b)Multiply the numerator and denominator by 5:

\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}

An equivalent fraction is 5/10.

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Answer:

(x , y)=(0 , -2)

Step-by-step explanation:

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£4:£4 is the answer.
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