Answer:
n = 23
Step-by-step explanation:
if 1/2 (n-5) = 1/2 (23-5)
that must mean that n=23.
and if you are just looking for 1/2 of 23-5 that is just 9. (23-5) = 18 and half of 18 is 9
This is an impossible equation. If sqrt(x) = sqrt(x), and sqrt(x) + 2 = sqrt(x) + 12, then that would mean that 2=12, which is incorrect.
Answer:
x^2 + y^2 + 16x + 6y + 9 = 0
Step-by-step explanation:
Using the formula for equation of a circle
(x - a)^2 + (y + b)^2 = r^2
(a, b) - the center
r - radius of the circle
Inserting the values given in the question
(-8,3) and r = 8
a - -8
b - 3
r - 8
[ x -(-8)]^2 + (y+3)^2 = 8^2
(x + 8)^2 + (y + 3)^2 = 8^2
Solving the brackets
( x + 8)(x + 8) + (y +3)(y+3) = 64
x^2 + 16x + 64 + y^2 + 6y + 9 = 64
Rearranging algebrally,.
x^2 + y^2 + 16x + 6y + 9+64 - 64 = 0
Bringing in 64, thereby changing the + sign to -
Therefore, the equation of the circle =
x^2 + y^2 + 16x + 6y + 9 = 0
Sub y = 0 in to find x intercept and x = 0 in to find y intercept
Answer:
The Two Column Proof is given below.
Step-by-step explanation:
Given:
To Prove:
∠ P ≅ ∠ N
Proof:
In Δ MPO and Δ MNO
STATEMENT REASONS
1. MP ≅ MN 1. Given
2. PO ≅ NO 2. Given
3. MO ≅ MO 3. Reflexive property
4. ΔMPO ≅ ΔMNO 4. Side-Side-Side congruence test}
5. ∠MPO ≅∠MNO 5. Corresponding parts of congruent Triangles
i.e ∠ P ≅ ∠ N ..................Proved
