Find the length of the arc

The standard form of the given quadratic equation, [tex]3x =-5 x^{2} +12[/tex], is [tex]5x^{2} +3x-12 = 0[/tex].

According to the question,

We have the following quadratic equation:

[tex]3x =-5 x^{2} +12[/tex]

Now, we know that this quadratic equation is not in the standard form because the standard form of any quadratic equation is given as follows:

[tex]ax^{2} +bx+c = 0[/tex]

Now, to find the standard form of the given equation, we will move all the terms from the right hand side to the left hand side which will result in the change of their signs:

[tex]5x^{2} +3x-12 = 0[/tex]

(More to know: to find the roots of any quadratic equation, we can use the Quadratic formula.)

Hence, the standard form of the given quadratic equation, [tex]3x =-5 x^{2} +12[/tex], is [tex]5x^{2} +3x-12 = 0[/tex].

To know more about standard form here

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Answer:

x² = [tex]\frac{256}{9}[/tex]

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] - 13 = - 9 ( add 13 to both sides )

[tex]\frac{3x}{4}[/tex] = 4 ( multiply both sides by 4 to clear the fraction )

3x = 16 ( divide both sides by 3 )

x = [tex]\frac{16}{3}[/tex]

Then

x² = ( [tex]\frac{16}{3}[/tex] )² = [tex]\frac{16^2}{3^2}[/tex] = [tex]\frac{256}{9}[/tex]

Answer:

[tex]x^{2}-10x+25[/tex]

Step-by-step explanation:

Distribute the x-5 into x-5 to get [tex]x^{2}-10x+25[/tex].

Answer:

x+3+5=17

Step-by-step explanation:

...……..............................................................

Answer:

The mean is the average of all the numbers

Step-by-step explanation:

Add all the numbers up and divide by how many numbers there are

Answer:

1.96

Step-by-step explanation:

Evaluation: Calculate 1.4 to the power of 2 and you get 1.96

Factoring: 7^2/5^2= 1 24/25= 1.96 (7 to the power of 2 divided by 5 to the power of 2, which equals 1 and 24 over 25, which can be converted to 1.96)

Answer:

answer is -8

Step-by-step explanation: do you want the steps ?

Answer:

8 is the whole number

Percent is 0.08

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

48-3x=18x+12-9x

36=12x

x=3

Answer:

x=3

Step-by-step explanation:

3( 16 - x ) = 3 ( 6x + 4 ) - 9x

48 - 3x = 18x + 12 - 9x

(combine like terms)

48 - 3x = 9x + 12

-48 -48

-3x = 9x - 36

-9x -9x

-12x= -36

÷-12 ÷-12

x= 3

Hope this helped you-have a good day bro cya)

The value of x in which profit can be maximized is -43.67

Given:

C = 0.6x² + 0.52x + 3200

R = 100x

The profit maximizing value of x = R - C

= 100x - (0.6x² + 0.52x + 3200)

= 100x - 0.6x² - 0.52x - 3200

= 0.6x² + 99.48x - 3200

x = -b ± √b² - 4ac / 2a

= 99.48 ± √99.48² - 4×0.6×-3200

= -99.48 ± √9,896.2704 - 7680 / 1.2

= -99.48 ± √2,216.2704 / 1.2

= -99.48 ± 47.08 / 1.2

x = -99.48 + 47.08 / 1.2

or = -99.48 - 47.08 / 1.2

x = -52.4/1.2 or -146.56 / 1.2

x = -43.67 or -122.13

Therefore, the value of x is -43.67

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Answer:

Decimal form to nearest hundredth= 0.36

percent form to nearest tenth= 35.7%

Improper fraction= 11/30.8

Answer:

B.2x-5=x+25

Step-by-step explanation:

2x+15=35            x = 10

4/5x=8                x = 10

2x-5=x+25          x = 30

2x+7=27             x = 10

4/3x=x+10/3       x = 10

Step-by-step explanation:

if there is no typo, then it is 4th degree for b.

let's rewrite here what I can see :

3a²ab - 5a²b²b² - 12a²b + 2a²b² - 18

that is simplified

3a³b - 5a²b⁴ - 12a²b + 2a²b² - 18

the highest exponent is 4 for b.

and so, this is the degree of the polynomial.

[tex]\bold{Heya~!}[/tex]

-----------------------------

[tex]= \frac{1}{100}[/tex]

[tex]\sf{Apply~exponent~rule:}~a^-^b =\frac{1}{a^b}[/tex]

[tex]\sf{10~^-^2 =\frac{1}{10^2}[/tex]

[tex]\sf{10^2=100}[/tex]

[tex]\sf{= \frac{1}{100}[/tex]

[tex]\underline{\large \huge{\mathfrak{Hopefully~this~helps~you~!}}}[/tex]

[tex]\underline{Answer~:}[/tex]

[tex]\sf{Miwsow}[/tex]

answer:

using the formula ((measured-actual length)/actual length)*100 we find that jake had the highest error rate at 37.5%

Answer:

3.07meters

Step-by-step explanation:

9-5.93=3.07

Answer:

Its hard Step-by-step explanation:sorry

Answer: Two equivalent ratios form a proportion. Equivalent ratios have the same value.

Answer:

100.8 cm

Step-by-step explanation:

The square root of 635 is 25.1992... or about 25.2

Because this is the length of 1 side, we multiply it by 4 to get the perimeter

25.2 · 4 = 100.8

Answer:

Step-by-step explanation:

length = area ÷ width

          = 230 ÷ 12 1/2

          = 230 ÷  25/2

         [tex]= 230*\dfrac{2}{25}\\\\= 46*\dfrac{2}{5}=\dfrac{92}{5}\\\\=18\dfrac{2}{5}[/tex]

Answer:

2500 + 90N = P

if he sells 29 copies, his total pay is $5110

Step-by-step explanation:

Answer:

insert the image in the comment and ill tell you

Step-by-step explanation:

Answer:

A) 25° C

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Use the given formula and substitute F with 77:

Answer:

28:22

Step-by-step explanation:

Answer:

B. -11+7

Step-by-step explanation:

A negative minus a negative turns into a positive.

Hope this helps!!

Answer:

option d) y is smaller than or equal 6

Answer: B' = (5,4) C' = (5,7) D' = (7,10)

Step-by-step explanation: If you look at the coordinate plane, you can see that the original coordinates of B,C and D are B = (-5,-2), C = (-5,1), and D = (-3,4). Since the coordinate plane tells us to go 10 to the RIGHT, we have to add by ten by the X coordinate. Since the X coordinate of B is -5, we have to add -5 by 10. -5 plus 10 is 5. When we add ten by the other X coordinates, we have B = (5, -2), C = (5,1), and D = (7,4). Now, the coordinate plane is telling us to go up by 6. Since it says up, we have to add all the y coordinates by 6. Eventually, you will have B' = (5,4) C' = (5,7) D' = (7,10), and that is your answer.