Answer:
7935
Step-by-step explanation:
The required number consists of digits 3,5,7,9.
3 in 843 appears in the units place. In the required number 3 has a value which is ten times that in 843. So in the required number 3 appears in the tens place.
9 in 34629 appears in the units place. In the required number 9 has a value which is hundred times that in 34629. So in the required number 9 appears in the hundreds place.
7 in 4782 appears in the hundreds place. In the required number 7 has a value which is ten times that in 4782. So in the required number 7 appears in the thousands place.
5 is in the remaining place.
So the required number is 7935
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer:
Step-by-step explanation:
answer is attached below with full explanation
