Answer:
x=120°
Step-by-step explanation:
sum of all angles in a triangle is equal to 180
let the unknown angle be
Answer:
Taco supreme is 1230 calories
Pan pizza is 1310 calories
Step-by-step explanation:
Let's denote taco supreme as T and pan pizza az P. We have:
T+2*P = 3850 and 2*T + P = 3770
If we add the equations we get 3*T+3*P = 7620
3*(T+P) = 7620
T+P = 2540 => we can use T=2540-P
Back to one of the first equations we get 2540-P+2*P=3850
P=3850-2540= 1310
=>T= 2540-1310= 1230
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