Subtract -9 from both sides.
x2+6x−(−9)=−9−(−9)
x2+6x+9=0
Factor left side of equation.
(x+3)(x+3)=0
Set factors equal to 0.
x+3=0 or x+3=0
x=−3
Answer:
x=−3
The translation of a segment or object, from one location to another on the plane, doesn't change its length, just its location.
so it used to be there, now is here, but its length never changed.
The quantities include hours and minutes.
The the known and unknown quantities can be used to write an equation and this gives 60 minutes.
<h3>How to explain the information?</h3>
It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.
Therefore,
2 hours = 120 minutes, and
2.5 hours = 150 minutes.
If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.
The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:
120 + 1.5x = 150 + x
1.5x - x = 150 - 120
0.5x = 30
x = 30/0.5 = 60
The time taken is 60 minutes.
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Answer: y = -(9/5)x - 1
Step-by-step explanation:
Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]
A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:
y = -(9/5)x + b
We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.
8 = -(9/5)*(-5) + b
8 = (9) + b
b = -1
The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is
y = -(9/5)x - 1
