Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
The two angles are corresponding angles, which means they are equal to each other. Make them equal to each other in an equation.
11x - 2 = 130
Add 2 to both sides.
11x = 132
Divide both sides by 11.
x = 12
31. It gives you the equation f(x) = -2x + 4 and asks you to solve for f(12). To solve this you must replace x in the equation -2x + 4 with 12 like so:
-2(12) + 4
Remember that when solving this use your rules of PEMDAS. In this case you will first multiply -2 and 12 then add the product with 4
-24 + 4
f(12) = -20
33. Replace x in the equation x³ - x with 5 like so...
5³ - 5
Again, remember to use the rules of PEMDAS to solve this. First take the cube of 5 then subtract 5 from the answer
125 - 5
g(5) = 120
Hope this helped!
~Just a girl in love with Shawn Mendes
Jayla payed $36.90 i got this because i multiplied 3 times 15 and got 45 then i did .18 times 45 which is 8.1 (8.1 is how much will be taken off) and then i subtracted 45-8.1 and got $36.90
Answer:
$6960
Step-by-step explanation:
p is not the principle. It is the principal.
I = prt
p = $6000
r = 8% = 0.08
t = 2
I = ($6000)(0.08)(2)
I = $960
Total amount after 2 years = principal + interest
Total amount = $6000 + $960
Total amount = $6960
