From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
Answer:


Step-by-step explanation:
- This is a rhombus becuase it a quadralterial and it has four right triangles, and it diagonals bisect each others so it cant be a trapezoid, and paralleolgram. and it doesnt have four right corner angles so it cant be a square or rectangle or kite.
A rhombus inner angle measure is 90 degrees.
So

This means the upper left angle of the top triangle measure is 58 becuase triangle interior theorem.
Since a rhombus bisects angles, angle x measure 58.
Answer:
a) x = -10
b) x = 7
Step-by-step explanation:
a)
2(x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10
b)
4(5x - 2) = 2(9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7
Answer:
$57.50
Step-by-step explanation:
we know that
The monthly loan payment formula is equal to

where
M ----> is the monthly payment
P ---> the amount borrowed
r ---> interest rate as decimal
t ---> length of the loan in years
we have
substitute in the formula


