Answer:
n = 2/3
Step-by-step explanation:
2m - 3n = 6
– 2m + 6n = 12
<u>____-____-___</u>
-9n = -6
n = -6/-9
n = 2/3
Hence, the value of n in the given equations is 2/3.
Answer:x=3
Step-by-step explanation:
D( x )
x+2 = 0
x = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x = 0
x = 0
x in (-oo:-2) U (-2:0) U (0:+oo)
(9*x-7)/(x+2)+15/x = 9 // - 9
(9*x-7)/(x+2)+15/x-9 = 0
(x*(9*x-7))/(x*(x+2))+(15*(x+2))/(x*(x+2))+(-9*x*(x+2))/(x*(x+2)) = 0
x*(9*x-7)+15*(x+2)-9*x*(x+2) = 0
9*x^2-9*x^2+8*x-18*x+30 = 0
30-10*x = 0
(30-10*x)/(x*(x+2)) = 0
(30-10*x)/(x*(x+2)) = 0 // * x*(x+2)
30-10*x = 0
30-10*x = 0 // - 30
-10*x = -30 // : -10
x = -30/(-10)
x = 3
x = 3
Answer:
There are no solutions
Step-by-step explanation:
Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for =
Next, putting the value in the formula.
⇒
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent= ≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
The question asks per week. So 1.5 cups times 7 days is 10.5 cups.
The pipe leaks 10.5 cups every week.