Answer:
1
Step-by-step explanation:
The square of the value in the empty space is the constant in the expanded expression. That is ...
[ ]² = 1
The value in the space is ...
[ ] = √1 = 1
The filled-in equation is ...
(3x -1)² = 9x² -6x +1
_____
The expansion of the square of a binomial is ...
(ax -b)² = a²x² -2abx +b²
Above, we used the constant term to find 'b', but we could also have used the linear term:
-6x = -2(3)bx . . . . . a=3 in this problem
1 = b . . . . . . . divide by -6x
Product means multiply. I will be representing your number with x
x * 2(x) = 98
2x^2 = 98
x^2 = 49
x = 7
your number is 7. half of your number is 3.5
Answer:7
Step-by-step explanation:
Answer:
y = 3x + 2
y = 6x – 3
y = 2/3x + 6
y = –1/3x – 4
y = 2x + 1
Correct answer:
y = 3x + 2
Explanation:
Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
