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3 years ago

Solve the equation for x 3x+9x = 6x + 42

Mathematics

1 answer:

podryga [215]3 years ago

3 0

= 3x + 9x = 6x + 42

= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )

= 12x - 6x = 42

= 6x = 42

= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )

= x = 7

Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :

= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42

= 21 + 63 = 42 + 42

= 84 = 84

= LHS = RHS

Hence proved we have derived the correct value of x .

Therefore , the value of x = 7 .

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Need help! Does anyone know how to do this type of math? (It's geometry)

mart [117]

Answer:

Step-by-step explanation:

refer the attachment

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that tangents which meet at the same point are equal that is being said

FA=AI=17
CH=CG=2.5

since $\rm BA=FA+FB$ and it's given that FA and BA are 17 and 29 FB should be

$\rm 29=17+FB$

therefore,

$FB=29-17=\boxed{12}$

once again by two tangent theorem we acquire:

$FB=BH=\boxed{12}$

As BC=BH+CH,BC is

12+2.5
$\boxed{14.5}$

likewise,AD=AI+DI so,

21=17+DI [AD=21(given) and AI=17 (by the theorem)]

thus,

DI=21-17= $\boxed{4}$

By the theorem we obtain:

DI=DG=4

Similarly,DC=DG+CH therefore,

DC=4+2.5= $\boxed{6.5}$

Now finding the Perimeter of ABCD

$P_{\text{ABCD}}=\text{AB+AD+BC+DC}$

substitute what we have and got

$P_{\text{ABCD}}=\text{29+21+14.5+6.5}$

simplify addition:

$P_{\text{ABCD}}=\boxed{71}$

hence,

the Perimeter of ABCD is 71

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2 years ago

Find the value of 2 - 3x when x = 7 PLEASE HELP ME :(

Sergio [31]

Answer:

-19

Step-by-step explanation:

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3 years ago

Read 2 more answers

The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?

tangare [24]

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

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Jobisdone [24]

Cos -2x or -cos2x, it's the difference.

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3 years ago

Find the area of a regular hexagon

xxMikexx [17]

<h2>Answer:</h2><h2>42 cm^2</h2>

please see the attached picture for full solution

hope it helps...

Good luck on your assignment....

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3 years ago