Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = 
By applying tangent rule in the given right triangle BOC,
tan(60°) = 
OC = BO(√3)
OA + OC = AC
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = 
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
two years at 3% = .03*2 = .06
so
.06 times original deposit = 72
so 72/.06
which is
1200
Answer: the odds would still be 1/11 or the percentage of drawing a "g" would be 9.1%
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the laws of logarithms
• log x - log y = log(
)
• 
x = n ⇔ x = 
Hence
( 
) = 2, hence
= x² ( multiply both sides by 4 )
8x - 3 = 4x² ← rearrange into standard form
Subtract 8x - 3 from both sides
4x² - 8x + 3 = 0 ← in standard form
(2x - 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
