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3 years ago

help please... also some please explain how i can tell the difference between rational and irrational??

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Answer:

First is irrational, second is rational, third is rational, fourth is irrational and fifth is irrational

Step-by-step explanation:

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.

btw please correct me if i'm wrong

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The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-

alekssr [168]

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

$P(c) = 20(c - 3)^2$

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

$P(c) = 20(c - 3)^2$

$P(c) = 20(c - 3)(c - 3)$

Open bracket

$P(c) = 20(c^2 -6c+ 9)$

$P(c) = 20c^2 -120c+ 180$

The maximum value of c is:

$Max(c) = \frac{-b}{2a}$

Where:

$f(x) = ax^2 + b^2 + c$

By comparison: $P(c) = 20c^2 -120c+ 180$

$a = 20$

$b = -120$

$c = 180$

So, we have:

$Max(c) = \frac{-b}{2a}$

$Max(c) = \frac{-(-120)}{2 * 20}$

$Max(c) = \frac{120}{40}$

$Max(c) = 3$

5 0

3 years ago

Answer 5, 6 , and 7 by today please.

kherson [118]

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB Reflexive property

∠3 = ∠5, ∠4 = ∠6 Alt. int. angles

ΔADB = ΔCDB ASA

7. AB = BC Def. of midpoint

∠1 = ∠2 Given

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ΔBAE = ΔCBD ASA

∠D = ∠E CPCTC

3 0

3 years ago

What is the absolute value of | r - 8| = 5?

fomenos

Answer:

r = 13, 3

Step-by-step explanation:

| r - 8| = 5

All solutions for r by breaking the absolute value into the positive and negative components

r = 13, 3

3 0

3 years ago

Am i right or am i wrong

frutty [35]

Answer:

you're right

6 0

3 years ago

|3 + x| = 5<br> Solve for x

bearhunter [10]

Answer:

x = - 8 , x = 2

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is

x + 3 = 5 ( subtract 2 from both sides )

x = 2

-(3 + x) = 5

- 3 - x = 5 ( add 3 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

5 0

2 years ago

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