Answer:
S = 9.9
Step-by-step explanation:
First, multiply by -3 to remove fractions:
so:
S - 38.4 = -28.5
Take all values to one side by adding 38.4 to both sides
S = 9.9
Since the probability to roll one die to be 3 is 1/6 and the same with the other die, we have 1/6*1/6=1/36
Answer:
1048.32 or 432 pi
Step-by-step explanation:
12*12=144
144+(4/3 pi *6^3)
6*6*6=216
216*4/3pi=864/3
864/3=288
288*3.14(pi)=904.32
904.32+144=1048.32
(If you have the pi symbol the answer is 144+288=432pi)
Answer:
FD≈25.94.. rounded = 26
Step-by-step explanation:
FD²=12²+(4x+11)²
FD²=144+16x²+88x+121
FD²=265+16x²+88x
also
FD²=12²+(13x-16)²
FD²=144+169x²-416x+256
FD²=400+169x²-416x
thus
265+16x²+88x = 400+169x²-416x
16x²-169x²+88x+416x+265-400 = 0
-153x²+504x-135 = 0
we will solve this quadratic equation by suing the quadratic formula to find x
x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)
x=(-504±)/2(-153)
x=(-504±)/-306
x=(-504±)/-306
x=(-504±414)/-306
x=(-504+414)/-306 and x=(-504-414)/-306
x=-90/-306 and x=-918/-306
x= 5/17 , 3
substituting x by the roots we found
check for 5/17:
4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..
13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..
check for 3:
4x+11 = 4×3+11 = 12+11 = 23
13x-16 = 13×3-16 = 23
thus 3 is the right root
therfore
ED=23 and CD=23
FD²=FE²+ED² or FD²=FC²+CD²
FD²=12²+23²
FD²=144+529
FD²=673
FD=√673
FD≈25.94.. rounded = 26
Answer: 3rd answer choice; A and C
Step 1 is to locate the point (1,2). You start at the origin, then move 1 unit to the right and 2 units up. Alternatively, you can draw a vertical line through 1 on the x axis and a horizontal line through 2 on the y axis. The horizontal and vertical line cross at (1,2)
Step 2 is to then determine which lines go through (1,2). The two lines in question are line A and line C. So the intersection of line A and line C is the point (1,2). This point satisfies the equations that make up these lines. So that is why it is considered a solution to just these two equations only (ignore the other lines).