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2 years ago

Express the number 540 as a product of the powers of its prime factors.

Mathematics

1 answer:

barxatty [35]2 years ago

3 0

Answer:

2 × 2 × 3 × 5 × 3 × 3 =540

Step-by-step explanation:

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Does anyone know the answer?

motikmotik

Answer:

We conclude that the area of the right triangle is:

$A\:=p^2-2p-3$

Hence, option A is correct.

Step-by-step explanation:

From the given right-angled triangle,

Base = p+1

Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

$=\frac{1}{2}\left(p+1\right)\left(2p-6\right)$

Factor 2p-6: 2(p-3)

$=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}$

Divide the number: 2/2 = 1

$=\left(p+1\right)\left(p-3\right)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

$=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)$

$=pp-3p+1\cdot \:p-1\cdot \:3$

$=p^2-2p-3$

Therefore, we conclude that the area of the right triangle is:

$A\:=p^2-2p-3$

Hence, option A is correct.

3 0

2 years ago

Which would result in the largest amount of money?!

nignag [31]

Answer:

c 364

Step-by-step explanation:

this is the correct answer because the rest are lower answers

8 0

3 years ago

Read 2 more answers

Solve x^2 +14x=15 by completing the square

ivanzaharov [21]

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to rewrite the equation in the form $x^{2}+2ax+a^{2}=(x+a)^{2}$ .

This results in $x^{2} + 14x + 7^{2} = 15 + 7^{2}$ .

Next, we simplify the equation to get $x^{2} +14x+7^{2} = 64$ .

Factoring the left side gives us $(x+7)^{2} = 64$ .

Finally we solve the equations: $x+7=\sqrt{64}$ and $x+7=-\sqrt{64}$ .

This gives us x=1, and x=-15

6 0

2 years ago

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Find the missing number in the following pattern 12,24,72,288

konstantin123 [22]

12 × 2 = 24

24 × 3 = 72

72 × 4 = 288

288 × 5 = 1,440, and so on...

Comments Report

3 0

3 years ago

Express 10 as a product of prime factors in index form

telo118 [61]

Answer:

product of prime factors: 2*5

8 0

2 years ago

Express the number 540 as a product of the powers of its prime factors.​

Express the number 540 as a product of the powers of its prime factors.