Answer:
Step-by-step explanation:
3x + 5y = 11
5y = - 3x + 11
y = -3x/5 + 11/5
Slope = -3/5
The required line is parallel to this line, So required line's slope= -3/5
(15,4)
y-y1 = m(x-x1)
y - 4 = -3/5 (x - 15)
y -4 = -3x/5 + 15*3/5
y - 4 = -3x/5 + 9
y = -3x/5 + 9 +4
y = -3x/5 + 13
It takes 1.58 seconds.
The equation to represent this is of the form h(t) = -16t²+v₀t+h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height. We do not have an initial velocity, since the balloon is dropped. The initial height is 40. This gives us the function
h(t) = -16t² + 40.
We will set this equal to 0:
0 = -16t² + 40
Subtract 40 from both sides:
0-40 = -16t² + 40 - 40
-40 = -16t²
Divide both sides by -16:
-40/-16 = -16t²/-16
2.5 = t²
Take the square root of both sides:
√2.5 = √t²
1.58 = t
The leading coefficient is a negative value (-3) so the graph goes down on the right side.
This makes either Graph B or C correct.
Now because the degree ( exponent ) (the ^4) is even both ends of the graph go in the same direction.
This makes Graph B the correct answer.
Answer:
X= -3
Step-by-step explanation:
Subtract 7 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
There are 52 weeks in one year and Flora records her pet hamsters weight once every week for one year, so she recored 52 weight observations.
