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Tamiku [17]
3 years ago
11

Simplify:

Mathematics
1 answer:
Scrat [10]3 years ago
8 0
Factoring is decomposing a higher powered expression into a lower powered expressions that are multiplied together. Since (a-b)(a^2+ab+b^2) is lower powered than a^3-b^3, (a-b)(a^2+ab+b^2) is more simplified. 
The Difference of Cubes formula shows up frequently in mathematics courses and should be memorized. 
 The formula for factoring the difference of cubes is (a^3 - b^3)= (a-b)(a^2+ab+b^2). It works because if (a-b)(a^2+ab+b^2) is multiplied it out, then it becomes a^3 - b^3. This was probably originally determined by trial and error a long time ago. 
 Since x is cubed and 8 is 2^3 it factors with the Difference of Cubes Formula.  (x^3-2^3)=(x-2)(x^2+2x+2^2)=(x^2+2x+4)
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ehidna [41]
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3 years ago
Solve the literal equation for x: g= 4x+5xy
Andreas93 [3]

The literal equation for x is \frac{g}{4+5y} given that g= 4x+5xy

The subject of a formula is a way of representing a variable in terms of other variables.

Given the equation

g= 4x+5xy

Factor out the common variable x

g= x(4+5y)

Divide both sides by 4+5y

\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}

This shows that the literal equation for x is \frac{g}{4+5y}

Learn more here: brainly.com/question/21140562

3 0
3 years ago
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Digiron [165]

Answer:

Side length = 5.8 in

Perimeter = 29

Area = 58 in²

Step-by-step explanation:

✔️Find Side length using trigonometric ratio:

Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)

So:

Reference angle = 36°

Adjacent side = 4 in.

Opp = ½ of the side length of the polygon = x (let's represent this as x)

Thus, apply TOA:

Tan 36 = Opp/Adj

Tan 36 = x/4

4*Tan 36 = x

x ≈ 2.9 in (nearest tenth)

Side length = 2*x = 2*2.9 = 5.8 in

✔️Perimeter = 5*side length

Perimeter = 5*5.8 = 29 in

✔️Area = ½aP

Where,

a = 4 in

P = 29

Plug in the values

A = ½*4*29

A = 58 in²

8 0
3 years ago
I need help getting the answer
wolverine [178]

Answer: a = 64

Step-by-step explanation: the equation for area is a=lw. a = 16(4) which is equal to 64.

4 0
3 years ago
Read 2 more answers
Mr.Robinson ordered 4 cheeseburgers for $2.95 each and 4 sodas for $1.59 each. If he paid with a $20 bill, how much change did h
Fynjy0 [20]
4 x 2.95 = 11.80$
4 x 1.59 = 6.36$
11.80 + 6.36 = 18.16 $
20 - 18.16 = 1.84

Mr. Robinson will get $1.84 in change
5 0
2 years ago
Read 2 more answers
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