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This is a circle equation

x^2 -4x       + y^2 - 6y     <= 13     complete the square for  x  and  y

(x-2)^2       + ( y-3)^2     <=   13  + 4 + 9  < ======== this is r²

                                                               26 = r^2                  area of circle = pi r^2 =   26 pi

(x-1)^2 + (y+4)^2 = 3^2      That's it !

Total circumference =  pi d = 16 pi

 this is a fraction of total    40/360  * 16pi =    16/9 pi =~ 5.59  METERS    ( you only get 1/2 credit if you leave units off!)

\(\frac{40}{360}\times \pi \times (8\times 2)\)

\(\frac{1}{9}\times \pi \times 16=\frac{16}{9}\times \pi\)

\(\pi=3.14\)

=>\(\frac{16}{9}\times 3.14=5.58222...\approx 5.58\)

Is this right?

10 x 6 +        4 (1/2 * 2 *5 ) = 80 units²

here are the solutions for \(x \)

\(x= \frac{\pi}{2}+2\pi n, x=\frac{3\pi}{2}+2\pi n, x=\frac{7\pi}{24}+\frac{\pi n}{2}, x=\frac{11\pi}{24}+\frac{\pi n}{2}\)

where \(n\) is any positive integer

found by moving \(-5sin(5x)\) over and letting it equal \(0\). After some moving around and trig identities, you just solve for each part seperately.

Hope this helps :)

urw! 

15x + 5 + 22x + 4 = 120

37x = 111

x = 3 

The centroid of a triangle is the intersection of the three medians of the triangle.

The Median Theorem states that the medians of a triangle intersect at a point called the centroid that is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

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JN = 3(QN) = 51

JQ = 2/3(JN) = 34

Ummmmm never mind you were right thanks

That's wrong because g(g(g(10.5))) equal -1 so g(g(g(a))) also neede to equal -1 but g(g(g(30.5))) equals 1 not -1. But thanks

You'll have to find the depth of the object

frot face area = 7 x 8.2    - 4.2 x 2 = 49 m²  

49 m^2 * depth = 490 m³          10. m = depth

NOW,  surface area = 49 *2    + 7*10    + 4*10     + 2*10   + 4.2 *10   +  5*10  +    8.2 * 10  = .......... m²

a = -30.5

I don't really want to give a explanation for this one though.

🐺🐺🐺

Thanks

Thank u!!

Long division

                  x^2 -6x +8

x+5 | x^3 -x^2 + kx + 40

        x^3 + 5x^2

              - 6x^2  + kx + 40

               -6x^2 -30x

                          (k+30)x + 40       k+ 30 must = 8 for this to have no remainder    so k = -22

                               8x     +40

(x+5)(x^2 -6x+8)

(x+5)(x-4)(x-2)   is factored

Note: This can easily be done with simple coding.

.10 x    = amount of gloss in  10%

   .35 (6-x)   = amount of gloss in 35%

.10x    + .35 (6-x)        =    .30(6)       solve for 'x' the gals of 10% then   35% = 6-x

thank you!

What do YOU think the answers are ?

7/4  pi   is almost a full circle (2 pi)     this angle is in   Q IV

- pi/4   would be coterminal

reference   pi/4

tan = sin / cos     sin is negative in Q IV      sin = - sqrt 2/ 2   cos = sqrt 2 /2       take it from here....

25 % discount means you pay 75 % of original

x (.75)                  now take a 10 % discount  ...you pay 90%

x (.75)(.90)          now take 5% off ...you pay 95%

x(.75)(.90)(.95)    now ADD 8% tax

x (.75)(.90)(.95)(1.08)      =  $1385.10 

x =  $ 2000  original price

angle = 1/2 ( AB- DC)

78= 1/2 ( 108-DC)

DC = 48^o

38 = 1/2 (y-x)

76 = y-x        and       y and x sum to 360    so   x = 142    y = 218

? = 1/2 ( 155 + 79) = 117^o