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

So these are equivalent.

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Previous 20 Two groups leave on different flights from the same airport. Group A flies 200 miles due south, then turns 68° towar

Oksana_A [137]

Answer:

Group B is farther from the airport.

Step-by-step explanation:

To find the distance of each group to the airport we can use the law of cosines in the triangle created with the two movements done and the resulting total distance.

Law of cosines:

$c^2 = a^2 + b^2 - 2ab*cos(angle)$

For group A, we have the sides of 200 miles and 75 miles, and the angle between the sides is (180-68) = 112°, so the third side of the triangle is:

$c^2 = 200^2 + 75^2 -2*200*75*cos(112)$

$c^2 = 56863.198$

$c = 238.46\ miles$

For group B, we also have the sides of 200 miles and 75 miles, and the angle between the sides is (180-51) = 129°, so the third side of the triangle is:

$c^2 = 200^2 + 75^2 -2*200*75*cos(129)$