The statement 
no solutions represents the simplified form of the given equation 6x + 14 = 3(2x + 5). Hence Option A is correct
<u>Solution:</u>
Given, equation is 6x + 14 = 3(2x + 5).
We have to find the correct options that represents the simplified form of the given equation and correctly describes the solution.
So, now let us simplify the given equation
⇒6x + 14 = 3(2x + 5) ⇒ 6x + 14 = 6x + 15 ⇒ 6x – 6x + 14 = 15 ⇒ 14 ≠ 15
As L.H.S not equals with R.H.S, no value of x can satisfy the equation and there will be no solution for given equation.
Hence, option A is correct.
Answer:
X must be negative
because the answer is x=-8
Step-by-step explanation:
You have the following expressions given in the problem above:
(y^2/y-3)(y^2-y-6/y^2+y)
By applying the exponents properties, you can simplify it, as it shown below:
(y^2/y-3)(y^2-y-6/y^2+y)
(y^4-y^3-6y^2)/(y^3+y^2-3y2-3y)
(y^4-y^3-6y^2)/(y^3-2y2-3y)
Then, you have:
y^2(y^2-y-6)/y(y^2-2y-3)
(y^2-y-6)/(y^2-2y-3)
The answer is: (y^2-y-6)/(y^2-2y-3)
We can consider east and north direction as x and y axes respectively.
latitude 0 and longitude 0 be the origin.
Let 'a' be the total way around the world
so, if I travel east 1/3 of the way around the world, x co-ordinate = 1/3 a
if I travel north 1/3 of the way around the world, y co-ordinate = 1/3 a
So the coordinates of your new location are(1/3 a, 1/3 a)
Answer with Step-by-step explanation:
We are given that
ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each is equal to 90 degrees.
D is the midpoint of E.
We have to prove that 
Statement:1 ABCE is a rectangle.D is the mid point of CE
Reason: Given
Statement 2:
Reason:By definition of rectangle
Statement:3 AE=BC
Reason: By definition of rectangle
Statement 4:
Reason: By definition of midpoint because D is the midpoint of side EC
Statement 5:
Reason:SAS postulate
Statement: 6
Reason:CPCT
Hence proved.
