Answer:
15/2
Step-by-step explanation:
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Answer:
4/9
Step-by-step explanation:
- The denominator is the bottom value of a fraction, therefore we can discount 9/2
- 1/9 = 2/18. 2/18 is smaller than 3/18 so we can discount 1/9
- 50/100 = 0.5
5/9 = 0.55555...
0.55555... is greatest than 0.5, therefore we can discount 5/9
Answer:
area = 20x^2 - 10x - 30
Step-by-step explanation:
5(4x2 - 2x - 6)
area = 20x^2 - 10x - 30
Answer:
Step-by-step explanation:
The given circle has equation

The equation of a circle with center (h,k) and radius r units is



<h2>❖ Tip❖ :- </h2>
This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).