Answer: y = -2x - 7
Step-by-step explanation:
The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.
Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).
x - 2y = 6
- 2y = 6 - x
y = (1/2) x -3
The slope is (1/2), so a perpendicular line will have a slope of -2.
y = -2x + b
We can find b by using the given point ((-3,-1), a known solution):
-1 = -2*(-3) + b
-1 = 6 + b
b = -7
The perpendicular equation is y = -2x - 7
y = -2x
The answer is 14 weeks
<span>60 + 30w = 480
30w = 480 - 60
30w = 420
w = 420 / 30
w = 14</span>
Answer:
.2 Repeating
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The factors of the quadratic equation is (x + 1) and (x - 6)
Given,
The quadratic equation; -2x² + 10x + 12
We have to find the factors of this equation using quadratic formula;-
Quadratic formula;-
Here,
a = -2, b = 10 and c = 12
Now,
= = = (-10±14) ÷ -4
Solve for,
- 10 + 14 / -4 = -4/4 = -1
That is, (x + 1)
Solve for,
- 10 - 14 / -4 = -24/-4 = 6
That is, (x - 6)
Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)
Learn more about quadratic formula here;
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