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3 years ago

Verify the basic identity. What is the domain of the validity? cot x= cos x csc x

1 answer:

4 0

Expand and simplify LHS - Apply identity sin^2x+cos^2x = 1 To verify: (cotx<span> - </span>cscx)(cosx+1) =-sinx LHS=(cosx/sinx - 1/sinx)(cosx<span>+1)</span>

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Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?

photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0

3 years ago

Please help! Correct Answers only!

mafiozo [28]

Answer:

$12000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 40000 × 15/100 × 2

I = $12000

5 0

3 years ago

(x-4)/5=9-(2x-41)/9

jok3333 [9.3K]

For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

$\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}$

$\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}$

$\mathbf{9(x - 4) = 405 - 5 (2x - 41)}$

$\mathbf{9x - 36 = 405 - 10x + 205}$

$\mathbf{9x - 36 = - 10x + 610}$

$\mathbf{9x - 36 + 36 = - 10x + 610 + 36}$

$\mathbf{9x = - 10x + 646}$

$\mathbf{9x + 10x = - 10x + 646 + 10x}$

$\mathbf{19x = 646}$

$\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}$

$\mathbf{\therefore \quad x = 34}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}$

Hope it helps.

3 0

3 years ago

Please help with this question

alexgriva [62]

A = 1/2 BH

#17
B = 3 H = 4
A = 1/2 BH
A = 1/2 (3)(4) = 6

#18
B = 6 H = 4
A = 1/2 BH
A = 1/2 (6)(4) = 12

#19
B = 12 H = 8
A = 1/2 BH
A = 1/2 (12)(8) = 48

#20
B = 11 H = 5
A = 1/2 BH
A = 1/2 (11)(5) = 27.5

3 0

3 years ago

A function is a relation in which every input has exactly one output.

julia-pushkina [17]

Answer:

On a coordinate plane, a vertical line goes through x = 3.

Step-by-step explanation:

I haven't looked at the other choices, but clearly this is a function

4 0

2 years ago