Answer:
Circle B:
Circle F:
Step-by-step explanation:
We can write the equation of a circle equation with center on (h,k) and radius r as:
Then, we analyze the circle will have for the circle B:
- It has a center in x=-4 and y=-3.
- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.
Then, we can write the equation as:
we analyze the circle will have for the circle F:
- It has a center in x=4 and y=1.
- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.
Then, we can write the equation as:
Answer:
427,350
Step-by-step explanation:
so you do 7.25×13=94.25
and then you do 94.25%×220,000=207,350
So you can now do 207,250+220,000 (which) =427,350
Answer:
Josie and Emmanuel are the same.
Step-by-step explanation:
By pluggin the numbers given into the equations, you find that Josie and Emmanuel are 5/8 while Maria is 120.
Answer:
parallelogram
Step-by-step explanation:
Its a parallelogram.
Answer:
The interpolating polynomial is 
.
Step-by-step explanation:
We want to find a quadratic polynomial 
such that 
, 
and 
. In order to do this let us write 
.
Now, evaluating the polynomial in the points -1, 1 and 2 we get
This relations give us a linear system of equations:
where the 
, 
and 
are the unknowns.
The augmented matrix of the system is
In this matrix it is easy to eliminate the 1's of the first column and get
From this matrix we can find the values of each unknown. Notice that the second row gives us 
that yields 
.
Then, the third row means 
that gives 
. So, 
.
Finally, the first row is 
and substituting is 
that yields 
.
Therefore, the interpolating polynomial is
.
