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:
Step-by-step explanation:
<u>Area of trapezoid formula:</u>
<u>Substitute the values on the sketch and find the area:</u>
- A = (9 + 13)*10/2 = 110 in²
Answer:
she brought 21 shirts and 2 pants
Step-by-step explanation:
shirts
21× 14.50 = 304.5
357- 304.5 = 52.5
pants
52.5 ÷ 25 = 2.1
Answer:
5 x 1/3 = 5/3 or 1 2/3
It is not possible to find the answer from 5 x 3 to 5 x 1/3
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