You can do this by completing the square on x and y terms:
x^ - 10x + y^2 + 6y + 18 = 0
(x - 5)^2 -25 + (y + 3)^2 - 9 + 18 = 0
(x - 5)^2 + (y + 3)^2 = -18 + 9 + 25 = 16
so radius = sqrt16 = 4 answer
Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the 
values in terms of 
from the equation into the other equation to solve for
Substituting into .
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴ 
<em>Plugging in into .</em>
We have,
∴ 
The solution of the system can be given as (5,-8).
Answer:
So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth. And, the number of bull shark teeth is 4.
Step-by-step explanation:
So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth.
Since Christian has 18 shark teeth, and 6 are tiger shark teeth, 8 are sand shark teeth and the rest are bull shark teeth.
Let x represent the number of bull shark teeth.
So, total number of shark teeth = number of tiger shark teeth + number of sand shark teeth + number of bull shark teeth.
18 = 6 + 8 + x
18 = 14 + x
subtracting 14 from both sides, we have
18 - 14 = 14 - 14 + x
4 = 0 + x
4 = x
x = 4
So, the number of bull shark teeth is 4.
Answer:
B and D
Step-by-step explanation:
To find the percentage, you divide Martin's correct answers by the total number of questions, then multiply the result by 100.
To find the fraction, it's <em>correct answers/total questions</em>.
Answer:
d
Step-by-step explanation:
d
