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3 years ago

Why are expressions 3(y-2)+2(y-2) and 5(y-2) equivalent

Mathematics

1 answer:

AlladinOne [14]3 years ago

6 0

3(y-2) + 2(y-2) = 5(y-2)

Both terms have the base (y-2), so they can be added together.
3 + 2 = 5

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Anarel [89]

Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:

-6x + y = -2
6x -18y = 54
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3 years ago

The area of a rectangle is 229.2 m2. If the length is 15 m, what is the perimeter of the rectangle

igor_vitrenko [27]

Answer:

$\large\boxed{P=60.56\ m}$

Step-by-step explanation:

The formula of an area of a rectangle:

$A=lw$

l - length

w - width

We have

$A=229.2\ m^2\\\l=15\ m$

Substitute:

$15w=229.2$ divide both sides by 15

$w=15.28\ m$

The formula of a perimeter of a rectangle:

$P=2(l+w)$

Substitute:

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4 years ago

Algebra nation geometry

Anastaziya [24]

Answer:

What?

Step-by-step explanation:

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3 years ago

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad

sertanlavr [38]

Answer:

The length of the person’s shadow is 5.7ft

Explanation:

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the rules of trigonometry

$\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}$