Answer:
The area is rational because the numbers in the formula are rational.
Step-by-step explanation:
All repeating decimals are still rational because they can be expressed as fractions. For example,
So every recurring decimal must be a fraction.
Also every terminating decimal can be represented as a fraction.
0.25 =
So the area is rational because the numbers are rational.
Area = X Base X Height
Base is Rational and Height is Rational. Hence Area=Rational.
When these rational numbers are substituted into the formula,the area must be rational.
Answer:
Step-by-step explanation:
We have a separable equation, first let's rewrite the equation as:
But:
So:
Multiplying both sides by dx and dividing both sides by 3a+y:
Integrating both sides:
Evaluating the integrals:
Where C1 is an arbitrary constant.
Solving for y:
So:
Finally, let's evaluate the initial condition in order to find C1:
Solving for C1:
Therefore:
Answer: 11.0 or 11
Step-by-step explanation:
To find the distance first find the difference between the coordinates. find the change in the x and y coordinates and square them to add them to get a number and find the square root of that same number to find the distance.
x coordinates: 5-(-6)= 11
y coordinate: 7-6 = -1
Now square them
11^2 + 1^2 = l^2 where l is the distance
121 + 1 = l^2
122 =l^2
l =
l = 11.045 Rounded to the nearest tenth is 11.0