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9966 [12]
3 years ago
8

83x - 6) = 6(4x + 8)​

Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

x = \frac{54}{59}

Step-by-step explanation:

I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.

So:

Remember PEMDAS

P – Parentheses

E – Exponents

M – Multiplication /D – Division  (whichever comes first from left to right)

A – Addition /S – Subtraction (whichever comes first from left to right)

Nothing needs to be distributed on the left side, so let's distribute the right side.

6(4x + 8)

6 * 4x = 24x

6 * 8 = 48

Now we have 24x + 48

83x - 6 = 24x + 48

Now, we must isolate the x so that in the end, we can get x =

83x - 6 = 24x + 48

+ 6                    +6

83x = 24x + 54

-24x           -24x

59x = 54

Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.

\frac{59x}{59} = \frac{54}{59}

Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.

x = \frac{54}{59}

~ InLoveWithPugs

Moderator

Math Enthusiast

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Alexxandr [17]

A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.

We can use the Pythagorean formula to find the other leg of the right triangle.

a²+b²=c²

Where a and b are the legs of the triangle and c is the hypotenuse.

According to the given problem,

one leg: a= 5m and hypotenuse: c=13√5 m.

So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,

5²+b²=(13√5)²

25 + b² = 13²*(√5)²

25 + b² = 169* 5

25+ b² = 845

25 + b² - 25 = 845 - 25

b² = 820

b =√ 820

b = √(4*205)

b = √4 *√205

b = 2√205

b= 2* 14.32

b = 28.64

So, b= 28.6 (Rounded to one decimal place)

Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).

5 0
3 years ago
What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B200%7D" id="TexFormula1" title="\frac{7}{200}" alt="\frac{7}{200}" al
I am Lyosha [343]
<h2>Answer:</h2>

7/200 as a decimal is <em>0.035</em>

<h2>Step-by-step explanation:</h2>

Simply divide the numerator by the denominator:

= 7/200

= 7 ÷ 200

= 0.035

7 0
3 years ago
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Please help! will give brainliest if right
asambeis [7]

Answer:

first option

Step-by-step explanation:

y = 1/4x - 5/4

this line has a slope of 1/4 and a y-intercept of -5/4

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qwelly [4]
<span>FALSE - The domain is all real numbers
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TRUE - increases to vertex over the interval (–∞ , –2).
FALSE - The function only decreases from vertex over the interval (−2, ∞).
TRUE - The function has a positive y-intercept. -(0)^2 - 4(0) + 2 = 2 </span>

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3 years ago
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natta225 [31]
I think it’s 309 cm because each side is 1 cm, there’s 3 sides, and 103 triangles. so 103x3=309 sides which means 309 cm
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