d =st
distance = speed * time
10 = 4.5 * t
divide each side by 4.5
10/4.5 = t
100/45 = t (can't have a decimal in a fraction so I multiply by 10/10)
divide top and bottom by 5
20/9
2 and 2/9 hours
to get minutes multiply 2/9 by 60
2/9 * 60
120/9
13 3/9
13 1/3 minutes
2 hours 13 1/3 minutes
to the nearest minutes
2 hours 13 minutes
The perfect square binomial expression for such would be u2 - 16u + 64. Then the factor of it would be (x-8)(x-8)
Answer:
domain {- 5, 5 }
Step-by-step explanation:
given values in the range, that is values of y then to find the domain equate f(x) to the given values in the range, that is
x + 5 = 0 ⇒ x = - 5
x + 5 = 10 ⇒ x = 10 - 5 = 5
domain is x ∈ { - 5, 5 }
The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
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