Answer:
logₐ(8) = 0.903
Step-by-step explanation:
logₐ(8) = logₐ(2)³
= 3logₐ(2) [Since, 
]
= 3(0.301) [Given → log(2) = 0.301]
= 0.903
Therefore, logₐ(8) = 0.903 is the answer.
Answer:
A)
Step-by-step explanation:
Angle should be in between two congruent sides.
The arms of ∠W are WX and ZW and these two sides are congruent to the arms of ∠Y , XY & YZ
Set the equation up as a proportion, where x = the height of the tree in feet
27/x = 4.5/5
cross multiply
(4.5)(x) = (27)(5)
(4.5)(x) = 135
divide the entire equation by 4.5 to isolate x
135/4.5 = 30
x = 30
the tree is 30 ft tall
24.25l
24l /
23.75l /
23.50l /
23.25l/
20l--------------------
300, 301, 302, 303, 304, 306
can't really draw on here but hopefully you get The idea
Answer:
P' = (2, -6)
Step-by-step explanation:
In this translation, you just need to substitute x and y into the given translation to find what P' is. (x is -6 since it's the x-value of P, and y is -2 since it's the y-value of P):
where T(x, y) = (x + 8, y - 4) and x = -6 and y = -2,
T(-6, -2) = ((-6) + 8), (-2) - 4) (substitute x and y into the translation)
T(-6, -2) = (2, -6) (add and subtract)
So, P' = (2, -6)
