Answer:
x = 2/3
Step-by-step explanation:
9x2−12x+4=0
Step 1: Factor left side of equation.
(3x−2)(3x−2)=0
Step 2: Set factors equal to 0.
3x−2=0 or 3x−2=0
x= 2
/3
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:

Let us convert the above equation into standard form


Make the denominator same in R.H.S

Solve the above equation


Move 6 from R.H.S to L.H.S

Bring all the terms to one side, leaving only constant on R.H.S

The above equation is of form Ax + By = C
Thus option A is correct
The answer is BC = 38.22 cm.
<u>Step-by-step explanation</u>:
We have, ∠BKD = 120° ,BK = 28 cm, Draw a perpendicular from point K on BC let it intersect at point M. In right angled ΔBMK, ∠BKM=30° and BK = 28 cm
sin30° = perpendicular/hypotenuse
1/2 = BM/BK
1/2 = BM/28
BM= 14 cm
Now , In right angled ΔBMK ,
cos30° = base/hypotenuse
√3/2 = MK/28
MK = 14√3 = 24.22 cm
KMCD is a square MK = MC = 24.22 cm
also, BC = BM + MC , putting values of BM & MC we get :
BC = 14 cm + 24.22 cm
BC = 38.22 cm.