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Bogdan [553]
3 years ago
6

Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie droppe

d them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8. A. Divide by 2 from both sides B. Square root both sides C. Divide by 6 from both sides D. Subtract 4 from both sides E. Subtract 8 from both sides F. Square both sides First A, then F, then E First B, then D, then C First D, then C, then F First F, then D, then C
Mathematics
2 answers:
Whitepunk [10]3 years ago
8 0

In this exact order it is:

  1. F
  2. D
  3. C

fomenos3 years ago
6 0

Answer: Order will be F,D,C and Fourth Option is correct and  x = 10

Step-by-step explanation:

Since we have given that

\sqrt{6x+4}=8

We first transpose the square root to the right , so it becomes square of 8,i.e.

6x+4=8^2\\\\6x+4=64

Now, transpose 4 to the right so it will get subtract from 64 i.e.

6x=64-4\\\\6x=60

Since 6 is multiplied to x on tranposing it will get divided by 60 i.e.

x=\frac{60}{6}\\\\x=10

Hence, on simplification, we get x=10.

Hence , the order is F,D,C.

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nirvana33 [79]

22/28 converted to a percentage is 78.6%. (rounded to the nearest tenth)

78.6% of the class passed the test.

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djyliett [7]

Answer:

y =   {e}^{3}

Step-by-step explanation:

f(x) =  {e}^{3x}  \\  \\ plug \: x = 1 \\  \\ f(1) =  {e}^{3 \times 1}  \\  \\ f(1) =  {e}^{3}   \\  \\ plug \: f(1) = y \\  \\ y =   {e}^{3}

8 0
3 years ago
(02.01 LC) Simplify 4 over 7 ÷ 3 over negative 8. negative 32 over 21 negative 3 over 14 3 over 14 32 over 21
zhannawk [14.2K]

Answer:

(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21

4 0
3 years ago
HELP ME PLEASE!!!
Kobotan [32]

Answer:

x=2 , y=1

Step-by-step explanation:

Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:

5(3y-1)+10y=20

Now solve for y.

y=1

Now plug y back into the bottom equation and solve for x.

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8 0
2 years ago
Given that sec (x) = 2 and cosec (x) is negative,
weeeeeb [17]

Answer:

i) sin(2x) = -\frac{\sqrt{3}}{2}

ii) cot(x+360) = -\frac{\sqrt{3}}{3}

iii) sin(x-180) = \frac{\sqrt{3}}{2}

Step-by-step explanation:

sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

cos(x) = \frac{1}{2}

cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.

Part i)

sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

sin^{2}(x)=1-cos^{2}(x)\\\\ sin(x)=\pm \sqrt{1-cos^{2}(x)}

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

sin(x)=- \sqrt{1-cos^{2}(x)}\\\\ sin(x)=-\sqrt{1-(\frac{1}{2})^{2}}\\\\ sin(x)=-\frac{\sqrt{3}}{2}

So,

sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

cot(x) = \frac{cos(x)}{sin(x)}\\

Using the values, we get:

cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = -(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}

6 0
3 years ago
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