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(9-4)^2+12^2=13^2

13+12+9+4=$\boxed{38}$

1 - x^2 >= 0

-x^2 >= -1

x^2 <= 1

sqrt(x) >= 0 ===> x > 0

Domain: [0, 1)

I'm just confused about how you got 76?

y = a(x - 4)(x + 3) = a(x^2 - x - 12)

Plug in the point (3, -12)

-12 = a(9 - 3 - 12)

-12 = -6a

a = 2

y = 2(x^2 - x - 12) = 2x^2 - 2x - 24

The length of the path of point B is equal to 3 X arc AC.

Arc AC = {[2(2 / pi)] * pi} / 4 = 1 cm

The path of point B = 3 cm

Red ink shows the path of point B     

The answer is $\boxed{b}$

(a) Let w = a + bi and z = c + di.  The rest is expanding.

(b) Let w = a + bi and z = c + di.  Then

\[\dfrac{w + z}{1 + wz} = \dfrac{a + c + bi + di}{1 + (a + bi)(c + di)}\]

To express this in rectangular form, we can multiply the numerator and denominator by the conjugate:

\[\dfrac{a + c + bi + di}{1 + (a + bi)(c + di)} = \dfrac{(a + c + bi + di)((1 - (a + bi)(c + di))}{(1 + (a + bi)(c + di))(1 - (a + bi)(c + di))}\]

The denominator simplifies to (1 - (a^2 + b^2)(c^2 + d^2)), which is real.  The numerator simplifies to a^2 - b^2 + c^2 - d^2, which is also real.  Therefore, the complex number (z + w)/(zw + 1) is real.

surface area = 2(triangle) + (3 different rectangles)

= 2(14 * 12/2) + (16*10) + (20*10) + (12 * 10)

= 168 + 160 + 200 + 120

= 648

x dozen roses and y dozen carnations

20x+12y=260

x+y=15

8x=80

x=10

10x12=$\boxed{120}$

I'm sorry, there's not much explanation, other than trial and error, for odd numbers, that are less than 10. I got 7 for A and 9 for B so (7+9)^2=$\boxed{256}$

These are separate events so we would multiply the probability of each of the events happening with each other. 1/8 for the spinner to land on 2 and 1/2 for the coin to land on heads.

QN=5x+36 and QM=2x+51. what is QO

QN, QM, and QO are inradii of a triangle JKL

5x + 36 = 2x +51         x = 5

QO = 5x + 36 = 61 

or

QO = 2x + 51 = 61

We can write two equations, and solve for w and a which represent bottles of water and apples respectively.

We have

2w+4a=5.5

3w+5a=7.5

6w+12a=16.5

6w+10a=15

2a=1.5

a=$\boxed{\$0.75}$

2w+3=5.5

2w=2.5

w=$\boxed{\$1.25}$

6. We can split the polygon into 3 rectangles and find the area of all of them separately then add the areas up. 20+15+390=425 as the total area of the figure

if 9x + 5y is divisible by 19 only if x + 9y is divisible by 19, that means that if we subtract them from each other, it should be divisible by 19. to make this simpler, we can multiple x + 9y by 9, so we can remove the x. once we subtract, we get 76, which is divisible by 19. So this means that when one is divisble by 19, the other is as well.

∠F = tan^-1(3.5 / 4.8) ≈ 36 degrees

34 + 66 = 100. This means the other angles have to add up to (360 - 100) = 260 degrees. 

The answer is 139 and 121, and 150 and 110

I hope that you are having a good day, as well.

The problem even explains how to determine whether or not a given number is divisible by 8. Only the final three digits matter, so determining if 992,466,1A6 is divisible by 8 is the same question as asking if 1A6 is divisible by 8.

Let's check all the digits.

Is 116 divisible by 8? No.

Is 126 divisible by 8? No.

Is 136 divisible by 8? Yes!

Of course, I could keep going and check the rest of the digits, but I have a small shortcut that saves a little bit of time. Since we are changing the tens digit, the next number that will be divisible by 8 again will be the current number + 40. Why? Well, 40 is divisible by 8, as well, so adding 40 to a number divisible by 8 will still yield a number divisible by 8. 

136 is divisible by 8

176 is divisible by 8

216 is divisible by 8, but that is not allowed since A is a digit, and digits range from 0-9.

Therefore, when A = 3 and A = 7, 992,466,1A6 is divisible by 8.

The sum of all possible A's is 3+7 = 10.

Hello.

like you said, "A number is divisible by 8 if the number formed by its last 3 digits is divisible by 8." so, we have to find the lowest possible number there is for 1A6, which would be 136 because 96 is divisibe by 8, and the smallest number that is divisible by both 8 and 10 is 40, so we add 40. then, we can repeat that process once more, and we get 136, and 176. there's no other numbers that have hundreds digit of 1, and units digit as 6 toher than those two, so 3+7=$\boxed{10}$

a + b + c = 2 + 3 + 2 = 7.

A = 3  and   A= 7

3   +  7 ==10

I would start this problem except GN does not appear anywhere in the given diagram.

This is one possible interpretation, but kerlonr might also be asking about 1/4 * pi where pi = 3.14.

In that case, pi/4 = 0.785

However, the question is too ambiguous to know the true meaning.