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mafiozo [28]
4 years ago
14

I need to know if 4(x + y) and 4y + 4x are equivelent please

Mathematics
2 answers:
PolarNik [594]4 years ago
3 0
Yes they are because you use distributive property and 4(x+y) you have to do 4•x= 4x and 4•y=4y so it would be 4y+4x
Alik [6]4 years ago
3 0

Answer:

Yes, they are equivalent.

First distribute the 4 to the variables inside the parenthesis.

4 × x= 4x

4 × y=4y

4x+4y

4x+4y

So these are equivalent.

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
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Answer:

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5

D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5

H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25

L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5

F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2

J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375

Now,

the slope of the line BC matches with the slope of  y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of  y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

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