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2 years ago

Helppp1!!!! i need this for my homework

Mathematics

2 answers:

castortr0y [4]2 years ago

4 0

Answer:

12p + 48= 48 (p+12)

Step-by-step explanation:

VashaNatasha [74]2 years ago

3 0

First person is right mark him Brainliest

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1. Are these two lines parallel, perpendicular or neither?

kolezko [41]

Answer:

parallel

Step-by-step explanation:

they have the same slope, but different y intercepts

8 0

2 years ago

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h

Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0

3 years ago

What Is the percent equal to 3/10

lianna [129]

30 %
3/10 * 10 = 30/100
30/100= 30%

6 0

2 years ago

PLS HELP MEE!!

photoshop1234 [79]

Answer:

25.56 is the surface area of the pool.

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]

Kay [80]

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set $S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.$

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, $n^{13} \equiv n \mod p$ if p-1 divides 12.

Since the of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in $2^{13}-2$ and $3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.$

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

5 0

3 years ago