The answer is A. I just finished the test.
Answer:
You can use the coordinates of a figure to find its dimensions by finding the distance between two points. To find the distance between two points with the same x-coordinates, subtract their y-coordinates. To find the distance between two points with the same y-coordinates, subtract their x-coordinates.
Step-by-step explanation:
Answer:
dT/dt = k(L-Lt)
Step-by-step explanation:
Let the rate of growth in length be dL/dt
The difference between the current length L and the asymptotic length Lt will be expressed as L-Lt
If the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length Lt, this is expressed as;
dT/dt ∝ L-Lt
dT/dt = k(L-Lt) where
k is the proportionality constant
Hence the differential equation that expresses this idea is written as;
dT/dt = k(L-Lt)
Answer:
base(b)=10 and height(h)=6
Step-by-step explanation:
From the question,
base(b)=x feet
height(h)=(x-4) feet
Area(A)=30 square feet
Now,
We know,
Area of triangle(A)=1/2*b*h
or, 30=1/2*x*(x - 4)
or, 30=1/2*x^2 -4x
or, 30*2=x^2 -4x
or, 60=x^2 -4x
or, 0 = x^2 -4x -60
or, 0 = x^2 +6x - 10x -60
or, 0 = x(x + 6) -10(x + 6)
or, 0 = (x+6) (x-10)
Either,
x+6=0. or, x-10=0
or,x= -6. or, x= 10
Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet
Lastly,
Height(h)=X - 4
=10 - 4
=6 feet
Answer:
25
Step-by-step explanation:
In order to find the range, you have to subtract the smallest number from the largest number. 100 - 75 = 25.
Hope this helped!
