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ddd [48]
2 years ago
10

Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54

Mathematics
1 answer:
telo118 [61]2 years ago
7 0

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Learn more on equations here; brainly.com/question/2972832

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I need help proving this ASAP
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Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

6 0
4 years ago
Michael buys a computer that is on sale for 10% off the original price. The original price is $38 more than the sale price. What
Alexeev081 [22]

Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

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3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m
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Answer:

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Step-by-step explanation:

Let The Height of the Triangle, h

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Area of a Triangle, A= \frac{1}{2}bh

When A=190 cm^2, h=10cm

190= \frac{1}{2}*b*10\\b=38cm

\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,

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9/3 (the letters) = 3 Each

3 - 24 - 3 = -27

2a = 6

6 - 3 + 3 = 6

A, b, c, all equal 3.

7 0
3 years ago
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