Answer:
x=2 and y=5
Step-by-step explanation:
Steps:
I will solve your system by substitution.
x=y−3;2x+y=9
Step: Solve x = y − 3 for x:
Step: Substitute y − 3 for x in 2x + y = 9:
2x+y=9
2(y−3)+y=9
3y−6=9(Simplify both sides of the equation)
3y−6+6=9+6(Add 6 to both sides)
3y=15
3y/3=15/3 (Divide both sides by 3)
y=5
Step: Substitute 5 for y in x = y − 3 :
x=y−3
x=5−3
x=2(Simplify both sides of the equation)
Answer:
x=2 and y=5
D. 133*1.285=171 pennies in the jar
Answer:
c = 24.34
Step-by-step explanation:
Here, we can use the cosine rule
Generally, we have this as:
a^2 = b^2 + c^2 - 2bcCos A
12^2 = 14^2 + c^2 - 2(14)Cos 19
144 = 196 + c^2 - 26.5c
c^2 - 26.5c + 196-144 = 0
c^2 - 26.5c + 52 = 0
We can use the quadratic formula here
and that is;
{-(-26.5) ± √(-26.5)^2 -4(1)(52)}/2
(26.5 + 22.23)/2 or (26.5 - 22.23)/2
24.37 or 2.135
By approximation c = 24.34 will be correct
Answer:
the answer is D
Step-by-step explanation: