23 + 31 - 12 = 54 - 12 = 42.....so she now has $ 42
Answer:
its b The angles need to add up to 90 degrees and this fits the formula
4 r1 ² π : 4 r2² π = 4 : 9
r1² : r2² = 4 : 9
r1 : r2 = 2 : 3
r2 = 3 r1/2 ( r - radius of the smaller sphere )
10 π = 4/3 r³ π + 4/3 ( 3 r/2 ) ³ π / : π/3
30 = 4 r³ + 4 * 27 r³/8
30 = 4 r³ + 27 r³/2 / * 2
60 = 35 r³
r³ = 60 / 35 = 12/7
V ( Smaller ) = 4/3 r³ π = 4/3 * 12 / 7 π = 16/7 π = 2.286 π cubic units
Answer: (- 15, 20)
Step-by-step explanation:
In the format (x – h)² + (y – k) = r², the center of the circle is at point (h, k).
-> The negatives in the first equation, bolded and underlined, means we change the sign of positive to negative or negative to positive.
(x <u>-</u> h)² + (y <u>-</u> k) = r²
(x + 15)² + (y - 20)² = 100
(x <u>-</u> 15)² + (y <u>+</u> 20)² = 100
(x <u>- 15</u>)² + (y + <u>20</u>)² = 100
(- 15, 20)
We can also see this with graphing. See attached.
The center of the circle will be at point (- 15, 20).
Answer:
x=-1
Step-by-step explanation:
x+1=0(squared).
x+1=0 (anything raise to the power 0 is 0
collect like terms =x=-1
therefore x=-1