3 years ago

Do the side lengths of 5, 6, and 8 form a Pythagorean triple?

1 answer:

5 0

The Pythagorean Theorem:
a^2 + b^2 = c^2

So we must check if:
5^2 + 6^2 = 8^2

25 + 36 ? 64
61 =/= 64

The side lengths 5, 6, and 8 do not form a Pythagorean triple.

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P(x)equals=R(x)minus−C(x). Given R(x)equals=59 x minus 0.3 x squared59x−0.3x2 and Upper C left parenthesis x right parenthesi

Deffense [45]

Answer:

$P(x)=-0.3x^2+56x-14$

Step-by-step explanation:

The given functions are

$R(x)=59x-0.3x^2$

$C(x)=3x+14$

It is given that

$P(x)=R(x)-C(x)$

Substitute the values of given functions in the above equation.

$P(x)=59x-0.3x^2-(3x+14)$

$P(x)=59x-0.3x^2-3x-14$

Combine like terms.

$P(x)=-0.3x^2+(59x-3x)-14$

$P(x)=-0.3x^2+56x-14$

Therefore, the required function is $P(x)=-0.3x^2+56x-14$ .

4 0

3 years ago

It cost $36 per person if 75 people rent the bus. How much will it cost per person if 100 people rent.

motikmotik

find the total cost of the bus by multiplying 75 people by $36:

75 x 36 = $2,700

Now divide the total cost of the bus by 100 people:

2700 / 100 = 27

It will cost $27 per person.

8 0

3 years ago

The distance to the grocery store is<br> 13.456 miles. Round this distance to<br> the nearest tenth,

Jobisdone [24]

Answer:

13.5

Step-by-step explanation:

Round the .45 to .5

7 0

3 years ago

Read 2 more answers

The product of 2√ 3 and 3√12 in simplified form is .

borishaifa [10]

Answer:

Step-by-step explanation:

Rewrite this as

(2)(3)(√3)(√12), or

6 * √36, or

6 * 6 = 36

5 0

3 years ago

For what value of the constant c does the above equation have x = 2 as the only solution?

Stolb23 [73]

The answer is A, -41.
Substitution:
-8(2) - (-41)
-16 + 41
25.
Square root of 25 = 5.
5 = 4x - 3.
5 = 4(2) - 3
5 = 8 - 3
5 = 5.

8 0

3 years ago