Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
Answer:
y = -4x - 16 or y +4x + 16 = 0
Step-by-step explanation:
Gradient (m) = -4
Equation of a line given gradient and one point=
y - <em>y </em>= m(x - <em>x)</em><em> </em>where (<em>x </em>, <em>y </em>) are the coordinates of the point.
Substituting...
y -(-4) = -4(x -(-3))
y + 4 = -4(x + 3)
y + 4 = -4x - 12
y = -4x - 12 - 4
y = -4x - 16 or y +4x + 16 = 0
Answer:
140
Step-by-step explanation:
7×20=140 & 7×4=28 that is why
The greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
<h3>How to determine the operations</h3>
Given the numbers -5 1/2, 3. 75, -20. 8, -4, 11 1/4
a. SUM
=8 + 
= 
= 
= 
= 9
B. Difference
= 8 - (-4)
= 8 + 4
= 12
C. Product
= 
= 
= 90
D. Quotient
= 
= 26
Thus, the greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
Learn more about algebra here:
brainly.com/question/4344214
#SPJ1`
Answer:
Subtracting a positive number from a positive number......this is normal subtraction
