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3x + 3y = 9

5x - 8y = -9

Multiply the top equation through by -5/3.

3(-5/3)x + 3(-5/3)y = 9(-5/3)

-5x - 5y = -15

Now line this up with the second equation and add straight down.

   -5x - 5y   = -15

+  5x - 8y   = -9

    0x - 13y = -24

-13y = -24

y = -24/-13

y = 24/13

Now substitute this value for y into either equation to find x.

3x + 3(24/13) = 9

3x = 9 - 72/13

3x = 45/13

x = 15/13

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon. 

thanks!

I bought my dog for $40. I wouldn’t sell him for a $1000.

How much does your dog think you are worth?

One time I bought a “penny” for a nickel.  

s = smallest

m = middle

b = biggest

We can make these equations from the info given in the question:

s + m + b = 14

b = 4s

s + 2b = 18

Replace b with 4s in the last equation and solve for s.

s + 2(4s) = 18

s + 8s = 18

9s = 18

s = 2

Replace s with 2 in the second equation and solve for b.

b = 4(2)

b = 8

Replace s and b with 2 and 8 respectively in the first equation and solve for m.

2 + m + 8 = 14

m + 10 = 14

m = 4

perimeter = BD + DH + HF + FB

BD = HF      and     DH = FB

so...

perimeter = HF + FB  + HF + FB

perimeter = 2HF + 2FB

7² + 8² = HF²   →   HF = \(\sqrt{113}\)     cm

FB = 6     cm

perimeter = 2\(\sqrt{113}\) + 2(6)

perimeter = 2\(\sqrt{113}\) + 12

perimeter ≈ 33.3     cm

Penny did you just respond to yourself to brag about your dog? This is a math site, go to twitter if you want to talk about yourself.

Thanks!

Use this formula to get each term of your sequence:

a(n) =9n - 11, so that:

-2, 7, 16, 25, 34, 43, 52, 61, 70, 79, 88, 97, 106, 115, 124, 133, 142, 151, 160, ......etc.

What is the solution of x^0.926628408=10

 x^0.926628408=10 take the (1/0.926628408)th power of both sides:

x = 10^(1/0.926628408) = ~ 12

yes mine is

I think this formula would work:

 [ (your niaras) / 420 ] * (1 / 0.00020509)

good i am having fun and i am having a friend over today

I have never really used nets before..but I think all you have to do is pretend that the pyramid is made out of paper, and you cut along the edges and lay the paper flat on the table...so for this pyramid with a triangle base, it would look sort of like:

(This isn't a very accurate drawing!)

The surface area of the pyramid is the sum of the areas of each of these triangles,

and the area of a triangle = (1/2)(base)(height)

SA = (1/2)(8)(9) + (1/2)(6)(9) + (1/2)(10)(10.2) + (1/2)(8)(6)

SA = 36 + 27 + 51 + 24

SA = 138 square cm

I am not sure, but a kringle must be equal to 0.0861378 niaras

10,000 x 586  =  5,860,000 rotations

Note that   arcsin x   =   some angle ...  and the arccos x   will be the angle that is complementary  to  this angle

To see this....suppose  that x = 1/2....then    arcsin (1/2)  = 30°  

And  arccos (1/2)     =  60°

So    arcsin x  +  arccos x   =   30° +  60°  = 90°

And   sin (90°)  =   1

This might be a little bit easier to see :)

\(\large \frac{(m^{-3}n^2)^{-4}}{(m^2n^{-3})^2} \\~\\ =\frac{m^{12}n^{-8}}{m^4n^{-6}} \\~\\ =m^{12-4}n^{-8--6} \\~\\ =m^{8}n^{-2} \\~\\ =\frac{m^{8}}{n^{2}}\)

2 + 18 = 20 Total number of lollipops.

2/20 =1/10 or 10%. The probability of choosing a grape lollipop.

Simplify the following:
(1)/(((n^2)/(m^3))^4 ((m^2)/(n^3))^2)

Multiply each exponent in m^2/n^3 by 2:
(1)/((n^2/m^3)^4 (m^(2×2))/((n^3)^2))

2×2 = 4:
(1)/((n^2/m^3)^4 m^4/(n^3)^2)

Multiply exponents. (n^3)^2 = n^(3×2):
(1)/((n^2/m^3)^4 m^4/n^(3×2))

3×2 = 6:
(1)/((n^2/m^3)^4 m^4/n^6)

(n^2/m^3)^(-4) = (m^3/n^2)^4:
((m^3/n^2)^4)/(m^4/n^6)

Multiply each exponent in m^3/n^2 by 4:
((m^(4×3))/((n^2)^4))/(m^4/n^6)

4×3 = 12:
(m^12/(n^2)^4)/(m^4/n^6)

Multiply exponents. (n^2)^4 = n^(2×4):
(m^12/n^(2×4))/(m^4/n^6)

2×4 = 8:
(m^12/n^8)/(m^4/n^6)

Multiply the numerator by the reciprocal of the denominator, (m^12/n^8)/(m^4/n^6) = m^12/n^8×n^6/m^4:
(m^12 n^6)/(n^8 m^4)

Combine powers. (m^12 n^6)/(n^8 m^4) = m^(12 - 4) n^(6 - 8):
m^12 - 4 n^6 - 8

12 - 4 = 8:
m^8 n^(6 - 8)

6 - 8 = -2:
Answer: | m^8 n^-2

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That's all we know.

Solve for x over the real numbers:
abs(6 - 2 x) = 6

Split the equation into two possible cases:
6 - 2 x = 6 or 6 - 2 x = -6

Subtract 6 from both sides:
-2 x = 0 or 6 - 2 x = -6

Divide both sides by -2:
x = 0 or 6 - 2 x = -6

Subtract 6 from both sides:
x = 0 or -2 x = -12

Divide both sides by -2:
Answer: | x = 0        or        x = 6

thank you

4 cans of grapefruit juice costs $3.36. Find the cost of one dozen cans of grapefruit juice. Use a proportion.

Let the cost of a dozen cans = C, then we have:

3.36 / 4 = C / 12   Cross multiply:

40.32 = 4C             Divide both sides by 4:

C = 40.32 / 4

C = $10.08 - Cost of a dozen cans of grapefruit juice.

Find the cost of a single can by dividing the dollar value of four cans by 4.  This will give you the cost of a single can.  Multiply the cost of a single can by the number of cans which you are attempting to find the cost of.