Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
Answer:
D.) 7:3
Step-by-step explanation:
First, find the LCM of the numbers, which is 8.
Then divide each number by 8
56÷8=7 24÷8= 3
Then, put them in a ratio
7:3
We can write this as:-
P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.
P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.
125 is a multiple of 5 so By rational root theorem 5 could be a positive root.
P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0
x = 5,-5
so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero
Example: Set up proportions.
3/4 cups → 1 batch
x cups → 2 batches
x = 2(3/4) = 6/4 = 1 1/2 cups
3/4 cups → 1 batch
y cups → 9 batches
y = 9(3/4) = 6 3/4 cups
7*X(number of students)=y(total cost)
The independent variable is the number of students and the dependent variable is the cost in dollars. I hope I helped!
