Answer:
135 square units
Step-by-step explanation:
the formula for finding the area of a parallelogram is b x h. in this case the base is 9 and the height is 15 so 9 x 15 = 135
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Answer:
t = 54 seconds
Step-by-step explanation:
The equation that models the path of a rocket into the air is given by :
It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,
h(t) = 0
i.e.
It means after 54 seconds, the rocket will hit the ground.
Answer:
If or , there is only one solution to the given quadratic equation.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
This polynomial has roots such that , given by the following formulas:
The signal of determines how many real roots an equation has:
: Two real and different solutions
: One real solution
: No real solutions
In this problem, we have the following second order polynomial:
.
This means that
It has one solution if
We can simplify by 8
The solution is:
or
So, if or , there is only one solution to the given quadratic equation.
Answer: $5289.35
Step-by-step explanation:
Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:
= 500/6.78
= 73.75 gallons
Since they're 44 cars, the total gallons of fuel will be:
= 44 × 73.75
= 3245 gallons
Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:
= $1.63 × 3245
= $5289.35
Answer:
21
Step-by-step explanation: