Express “ln va “ as a product Solution: ================================================================== from x^a/b = r(b) [x^a], where r = root, and r(b) = root of index b; a = exponent ================================================================== from our example: va...

7x+10=5x-3, Solution x=-13/2 or x= -5 3/2 Step by step Solution: step 1: re agruping similar terms (a)sdd -5x the whole equation -5x+7x+10=-5x+5x-3 ==>2x+10=-3 (b) add -10 the whole equation 2x+10=-3 ==> -10+2x+10=-10-3 ==> 2x=-13 step...

-9(x - 5) = x + 22 1/2, solution x=45/20 or x=2 1/4 step by step solution: step 1: change mix fraction to a pure fraction, 22 1/2 = [(22*2)+1]/2 =45/2 then -9(x - 5) = x + 22 1/2 ==> -9(x - 5) = x + 45/2 step 2: multiply the whole equation by 2, that is to write the equation without...

-(5x+2)+2(1+5x) Math use compact notation and your question is about one of them. -(5x+2)= -1*(5x+2) = -1*5x+-1*2 = -5x-2 note that if we have -5x-2 you can factor a negative sign or a -1 out ant it convert in -(5x+2)so (-5x-2 = -1*(5x+2) = -(5x+2) ==================================================================== 2(1+5x)...

The Standart for is: Ax+By = C y= 1/2 + 3, I thing that you missing some variable that could be called "x" or "z" you expression could be writen y=x/2+3 or y= 1/2 +3x or y=x/2 + 3z, I do not know. To solve it  step 1: re write the equation...

133=-7(1-4k) Step by Step solution: Step 1:multiply by 1/-7 the whole equation (1/-7)[133] = (1/-7)[-7(1-4k)] ==> 133/-7 = (1-4k) ==> -19 = (1-4k) Step 2: add -1 the whole equation -19-1 = -1+1 -4k ==> -20= -4k Step 3: multiply by (1/-4) the whole equation (1/-4)(-20)=...

133=-7(1-4k) Step by Step solution: Step 1:multiply by 1/-7 the whole equation (1/-7)[133] = (1/-7)[-7(1-4k)] ==> 133/-7 = (1-4k) ==> -19 = (1-4k) Step 2: add -1 the whole equation -19-1 = -1+1 -4k ==> -20= -4k Step 3: multiply by (1/-4) the whole equation (1/-4)(-20)=...

Data: x+y=16 and x-y=0 ==> x=y ============================================================== I going to substitude x on y, because x=y Substituing: x+y=16 ==> x+x=16 ==> 2x=16 ==> x=16/2 ==> x=8 ============================================================= Pruve: x+y=16 if x=y and x=8, then y=8 subtituing...

Data: for (x,y) => A(1) = (6,9); A(2)=(-3,9) Def: slope = [y(2)-y(1)]/[(x(2)-x(1)], to obtain the slope you can chose as point 1 or 2 the A(1) or A(2) coordinate. if point y(1)=y(2), then y(2)-y(1)=0 and your slope should be 0, if and only if x(1)=/= x(2), if...

1.2(x-2)=2-x; Solution: x=2 ============================================================================ Step by Step solution 1.2(x-2)=2-x Step 1: Multiply by 1.2 all in the parentesis. That is the distribution property. 1.2x-2.4=2-x, Step 2: Reagruping equal terms (1)add +x...

Data: (x,y) = (-6,-4), then x = -6, y = -4; m = 5 (slope) the General line equation is: y = mx + b, where m=slope, and b = y intersept or the point of the line where x=0, and y cut the y axis ================================================================== y=mx+b, from...

5/2x-4/x^2=7/2x^2, Solution: x=3 Step by Step multiply by 4x^2 the whole expression. It is because 4x^2 is the common denominator between 2x,x,and 2x^2. To add fraccion they have to have common denominator. 4x^2[5/2x-4/x^2] = 4x^2[7/2x^2] ==>  10x-16=14 ==>  10x=14+16...

y = sin x dy/dx = y'(x) then  y'(x)= cos (x) ======================================================================== Prove: ========================================================================= [1] Definition of sin (x) = [e^(xi)-e(-xi)] / 2 [2] y'(x)= y'(e^xi)/2 - y'(e^-xi)/2...