Since the parabola passes by the center its equation is:
y = ax². But it opens downward, that means the coefficient a is negative.
Then the equation becomes:
y = - ax², with x = 0 as its axis of symmetry.
We are given that the height is 84 ft when the opening downward is 42 ft.
That means to the (height) y, corresponds x =+21 & x=-21 (due to symmetry).
In order to calculate a let's plug y & x with their related values:
y = - ax²
84 = - a(21)²
84 = - a(441) and a = - 84/441 ↔ a = - 4/21
And the final equation is : y = -4/21. x²
Hello!
We can find the area of the trapezoid using the formula for area of a trapezoid:
FORMULA:
A = [(b + b) * h / 2]
SUBSTITUTE:
A = [(13.5 + 27.5) * 14 / 2]
SOLVE:
A = 41 * 14 / 2
A = 574 / 2
A = 287 cm²
So, the area of the trapezoid is 287 cm².
Answer:
Kadeem will take 0.166 h more to complete the course.
Step-by-step explanation:
The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:
time = distance/speed
For Kadeem:
time = 25/50 = 0.5 h
For Quinn:
time = 25/75 = 0.334 h
The difference between the is 0.5 - 0.334 = 0.166 h.
Answer:
3.75
Step-by-step explanation:
We have to find the slope of a straight line through points (-5,-10) and (-1,5).
Now. we know the slope of a straight line through the points (
) and (
) is given by ![[\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%20%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D%20%5D)
.
So, in our case () ≡ (-5,-10) and () ≡ (-1,5).
Therefore, the slope of the line is 
(Answer)
Answer:
The weight of the parcel is 5 N
Step-by-step explanation:
we know that
Weight can be calculated using the equation:
where
W ----> weight (W) is measured in newtons (N)
m ----> mass (m) is measured in kilograms (kg)
g ----> gravitational field strength (g) is measured in newtons per kilogram (N/kg)
In this problem we have
Remember that
To convert g to kg
Divide by 1,000
so
substitute the values in the equation
therefore
The weight of the parcel is 5 N
