Answer:
where are the choices
Step-by-step explanation:
The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10
The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2
Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore
(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
Answer:
n = 2
Step-by-step explanation:
Given
(n - 4) - 3 = 3 - (2n + 3)
Multiply through by 2 to clear the fraction
n - 4 - 6 = 6 - 2(2n + 3) ← distribute
n - 10 = 6 - 4n - 6 ( add 4n to both sides )
5n - 10 = 0 ( add 10 to both sides )
5n = 10 ( divide both sides by 5 )
n = 2
The solution of the graphed system of equations y = -x² + x + 2 and y = -x + 3 is (1,2)
<h3>How to solve the equations?</h3>
The system of equations is given as:
y = -x² + x + 2
y = -x + 3
From the graph in the complete question, we have the following point of intersection between the equations
(x,y) = (1,2)
The point of intersection between the equations is the solution
Hence, the solution of the graphed system of equations is (1,2)
Read more about system of equations at:
brainly.com/question/14323743
#SPJ4
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = 
≅ 69 cm²
