The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:
C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent.
If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency.
Answer:
8 hours
Step-by-step explanation:
57 + 9h = 129
9h = 72
h = 8
Answer:
The domain of the function is the interval [0,2.23]
see the explanation
Step-by-step explanation:
Let
t ----> the time in seconds
h(t) ----> the height of the laptop in units
we have

we know that
When the laptop hits the ground, the value of h(t) is equal to zero
so
For h(t)=0

Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
---> is not a solution
therefore
The domain of the function is the interval [0,2.23]
All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.
2x=120-2y
x=60-y
2y=120-2x
y=60-x
Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)