Using Gauss's method
Total number of terms = [15-(-129)]/4+1=36+1=37
Add
S=15+11+7+....-125-129
S=-129-125-...+7+11+15
--------------------------------
2S=-114-114-114...(37 times)
=>
sum=S=(1/2)*(-114)*37=-2109
Using AP, T(n)=15+11+7+....-129
T(n)=19-4n => T(1)=15, T(37)=-129
S(n)=(1/2)(37)(T(1)+T(37)=(1/2)37(15-129)=2109
Y+8 = -3(x-7)
Distribute the -3
y +8 = -3x +21
Subtract 8 from both sides
Y = -3x +21 -8
Y= -3x+13
Because the actual dimensions of the board and the target are missing, let us supply the missing values.
Let:
radius of board = 6 inches
radius of target = 2 inches
Area of board = pi * r^2 = pi*6^2 = 36pi
Area of target = pi * r^2 = pi*2^2 = 4pi
Probability of hitting the target = 4pi / 36pi = 1/9
Therefore, there is a 1/9 chance of hitting the target on the board.
Answer:
$9
Step-by-step explanation:
5 x 9 = $45
Or
9+9+9+9+9
Answer:
(5, -2)
Step-by-step explanation:
Use substitution
Y=5x-27 Put this equation into the place of y in the second one.
2x+3y=4
2x + 3(5x - 27) = 4 then solve for x
2x + 15x - 81 = 4
17x - 81 = 4
17x = 85
x = 5
Then put the value of x back into one of the equations and solve for y
y = 5(5) - 27
y = 25 - 27
y = -2
