Answer:
4a^2-6b^2+12
Step-by-step explanation:
(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)
distribute the negative sign to each term in the 2nd expression
a^2-2b^2+3-4b^2+5+3a^2+4
combine like terms
4a^2-6b^2+12
Answer:

Step-by-step explanation:
The formula for a circle of radius r centered at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...
(x -2)^2 +(y -(-1))^2 = 4^2
(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A
4/7 = y/5019....with y being yes votes
cross multiply
(7)(y) = (4)(5019)
7y = 20076
y = 20076/7
y = 2868 <=== yes votes
total of yes and no votes : 5019 + 2868 = 7887
Pi symbol raised to the 3 times x raised to the 4
Answer:
M = 29
27.31838095 = n
16.8511209 = p
Step-by-step explanation:
M = 180 -33-118 = 29
We can use the rule of sines
sin A sin B sin C
------------ = ---------- = ------------
a b c
sin 118 sin 29
------------ = ----------
n 15
Using cross products
15 sin 118 = n sin 29
Divide by sin 29
15 sin 118 / sin 29 = n
27.31838095 = n
sin 33 sin 29
------------ = ----------
p 15
Using cross products
15 sin 33 = p sin 29
Divide by sin 29
15 sin 33 / sin 29 = p
16.8511209 = p