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3x - 8y = 29

3x + y = -2

____________ -

-9y = 31

y = -31/9

3x + y = -2

3x + (-31/9) = -2

3x = 13/9

x = 13/27

\((x+8)+(2x-3)+(6x-5)=180\)

\(9x=180\)

\(x=20\)

\(\angle J=x+8=20+8=28\)

\(\angle K=6x-5=120-5-115\)

\(\angle L=2x-3=40-3=37\)

Diagram B, because x+2.6=10.4

The figure below consists of four semicircles and the 16-cm diameter of the largest semicircle. What is the total number of square cm in the area of the two shaded regions? Use 3.14 as an approximation for pi and express your answer as a decimal to the nearest tenth.

Gray area = 62.8 cm²

Gray area = 1/4(2 * 8² - 32pi)

Triangle ABC is an isosceles triangle with a base equal to 8 units.

BD = CD = 4         DI = 3

∠B = 2(tan^-1(3/4)) ≈ 73.74º

AD = tan(∠B) * BD = 13.7142857

[ABC] = BD * AD ≈ 54.857 square units 

The area of the gray region is 16 - 2*pi.

The total area is 8.7 square centimeters.

a_{2009} is equa to 3 - 2*sqrt(7).

Explain?

BH = EF = sin^-1(3/5) * 3 

BH = 9/5

I get 9 through 13, so the sum would be 55.  This is assuming positive values.

Sorry thats wrong

My take in this is that 4 goes into 3 4/3 times, of 1 1/3

4-3 is 1.

Hope this helps,

Math Whiz

18% = x              acid content   = .18x

3%  = 15-x          acid content  = .03(15-x)

.18x  + .03(15.x)      =     .08(15)

18x    + 3 (15-x) = 8(15)

15x = 75

x = 5 L of 18%      10 L of 3%

m >= -10.5          -10   -9   -8 .......-1  

TEN

1.5 b / 12 c   * 100 c = 12.5 ~~~ 13 sticks of butter

Yup! It's is correct! TYSM!

I am confused i dont understand?

theta = arctan (7/14) = 26.57^o   ~~ 26.6^{o                ( I think it is time to replace your cracked screen!)}

Not sure how to use Vieta for this one

x+ y = 4

y = 4-x

x^2  + (4-x)^2 = 22

2x^2 - 8x - 6 = 0                 x + y = -8/2 = 4       and    xy = -6/2 = -3        (vieta ..   just a check for the next step check)

by Quadratic Formula     x = 2+- sqrt 7               (x+ y = 4   check     x y = -3   check)

Since x^4 = y^4 - 176 sqrt 7          this tells me that    y is the larger root   2 + sqrt7        and x = 2- sqrt 7

so    x - y =    2-sqrt7    - (2 + sqrt7) = - 2 sqrt 7 

Not sure if that is what you needed !

Welllll....you're welcome !   

HOLY UR INSANe! First person to finally solve after 3 tries! noice man!

(a-4)(b-4) =

ab  -4a - 4 b + 16

-5/7   - 4 (-1/7)   + 16

-5/7 + 4/7 + 16 = -1/7 + 16    = 15 6/7

Then THAT should be in your question post !