|x+4| = 3x - 5
x + 4 = 3x - 5
2x = 9
x = 9/2
-(x+4) = 3x - 5
-x -4 = 3x - 5
4x = 1
x = 1/4
answer
x = 1/4
x = 9/2
A rate is a ratio where time is usually involved such as 60 km/ 1 hour.
So, the answer is true.
Answer:
Step-by-step explanation:
Recall the vertex form of a quadratic equation:
Where (h,k) is the vertex.
We are told that the vertex is (0,0). Therefore:
Simplify:
So, to finish the equation, we need to find a.
We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:
Square:
Divide both sides by 4:
So, our a value is 1/4.
And we can thus complete our equation:
And we are done :)
1 centimeter = 6.21371e-6 miles
Answer:
The correct answer will be option b
Step-by-step explanation:
We know that x = rcos( θ ), and y = rsin( θ ), so let's rewrite this polar equation.
r = 4( x / r ) + 2( y / r ),
r = 4x / r + 2y / r,
r = 4x + 2y / r,
r / 1 = 4x + 2y / r ( Cross - Multiply )
4x + 2y = r²
We also know that r² = x² + y², so let's substitute.
x² + y² = 4x + 2y,
x² - 4x - 2y + y² = 0,
Circle Equation : ( x - 2 )² + ( y - 1 )² = ( √5 )²,
Solution : ( x - 2 )² + ( y - 1 )² = 5