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2 years ago

Please help! Greatly appreciated

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

6 0

$\boxed{\sf 11, 7}\boxed$

Isolate this variable, x, by dividing each side by factors that do not contain the variable.

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Find the circumference and area of a circle with the diameter AB, A(-8,4) and B(4,-1)

bezimeni [28]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4-(-8)]^2+[-1-4]^2}\implies AB=\sqrt{(4+8)^2+(-1-4)^2} \\\\\\ AB=\sqrt{144+25}\implies AB=\sqrt{169}\implies \stackrel{\textit{diameter}}{AB=13}~\hfill \boxed{\stackrel{\textit{radius}}{6.5}} \\\\[-0.35em] ~\dotfill$

$\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad C=2\pi (6.5)\implies C=13\pi \implies C\approx 40.84 \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6.5)^2\implies A=42.25\pi \implies A\approx 132.73$

5 0

3 years ago

Simplify. y = (x + 1)2 -

defon

Answer:

Step-by-step explanation:

Assuming it is supposed to be y = 2- (x+1)

y= x-1

or if it is supposed to be y = -2(x+1)

y= -2x-2

3 0

3 years ago

sue makes 2% commission sales up to $5000. She makes 7.5% commission on sales over $5000. If Sue sold $15000 worth of merchandis

ikadub [295]

Answer:

$1125

Step-by-step explanation:

Since $15,000 is over $5000 the commission is 7.5%

Next you turn the percent into a decimal:

0.075

Now multiply $15,000 by 0.075

Answer = $1125

3 0

3 years ago

15 ‒ 5x = 6x + 3 – 2x

LenKa [72]

Answer:

x = 4/3

Step-by-step explanation:

15 - 5x = 6x + 3 - 2x

In this kind of equation, we try to seperate the x's and the numbers.

So we add 5x to both sides and subtract 3 from both sides to seperate these values

15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x

=> 12 = 9x

=> 12/9 = x

=> 4/3 = x

=> x = 4/3

To check, we can plug this in.

15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)

15 - 20/3 = 24/3 + 3 - 8/3

45/3 - 20/3 = 24/3 + 9/3 - 8/3

25/3 = 25/3

So our answer works.

7 0

3 years ago

I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the fi

leva [86]

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed $\frac{1+\sqrt{1+160\pi^2}}{2\pi}$ only focusing on the plus for now.

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

If you were to compute $\frac{1-\sqrt{1+160\pi^2}}{2\pi}$ you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

6 0

4 years ago

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