Answer:
W = X in.
L = (3x - 6) in.
A = L*W = (3x-6)X = 45,
3x^2 - 6x = 45
3x(x-2) = 45,
x(x-2) = 15,
x^2 - 2x - 15 = 0
(x-5)(x+3) = 0,
x-5 = 0,
x = 5 in.
x+3 = 0,
x = -3.
Solution Set: x = 5, and x = -3.
Select + value of X:
x = 5
W = x = 5 in.
L = 3x-6 = 3*5 - 6 = 9 in.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
For an equation to be dimensionally correct the dimension of quantities on both sides of equation must be same.
Also, two physically quantities can only be added or subtracted only when their dimension are same.
here all option are dimensionally correct except the 5th option where
dimension of t= [T] whereas dimension of a/v is 
= T^{-1}
since, the dimension of quantities on either sides of equation are not the same the equation is dimensionally is incorrect.
Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared),
is the side length of the pink square and
is the side length of the green square.
That means a =
and b =
, so...

35 + 50 = c^2
85 = c^2

Now we need to square the square root of 85 to find the area of the blue square.

85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.

x = 5 units
Answer:
4.1% ororor
Step-by-step explanation:
1/6 = 16.7%
3/8 = 37.5%
5/12 = 41.7%
= 95.9%
100% - 95.9% = 4.1%
Answer:
g(x) = 1/4 f(x)
Step-by-step explanation:
f passes through the origin and has a slope of 1.
f(x) = x
g passes through the origin and has a slope of 1/4.
g(x) = 1/4 x
Substituting:
g(x) = 1/4 f(x)