multiply second equation by -3 to get
-9x + 3y= -30 add this equation to the first one
-7x = -25
x = 25/7 then calc y 2 ( 25/7) - 3y+ 5 y = 5/7
https://web2.0calc.com/questions/please-help-on-this_2
sqrt (10x2 ) = x sqrt 10
or maybe sqrt (10 x 2 ) = sqrt 20 = sqrt (4*5) = 2 sqrt 5
0.1 is one tenth 1/10 that IS all of the work.
Close...but the vertex is in the wrong place....
here is a graph:
https://www.desmos.com/calculator/atsyq7hk8i
In vertex form: y = a (x-2)^2 + 4
Sub in the point given:
1 = a(1-2)^2 + 4
1 = a + 4 a = -3
y = -3(x-2)^2 + 4 expand
y = -3x^2 +12x-8
In a right triangle the Sin of the angle is the opposite side over the hypotenuse = 12/37
20 km / (r+2) + 1/3 = 20km/ (r) (1/3 hr = 20 minutes)
20 (r) + 1/3( r)(r+2) = 20 r +40
20 r + 1/3 r^2 + 2/3 r = 20 r + 40
1/3 r^2 + 2/3 r -40 = 0 quadratic formula shows r = 10 r+2 = 12
c = children tix value = 12c
a = adult tix = 3c value = 18(3c) = 54c
s = student tix = 500-c-3c = 500-4c value = 15 (500-4c) summed = 8040
12c + 54c + 15 (500-4c) = 8040 solve for c
then a = 3c and s = 500- 4c
The angle right next to 126 must add with 126 to 180 degrees (straight line )
then the three angles inside the triangle must add to 180 degrees allowing you to find 'x'
